Details

analyze365.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

832×	`cube-prod_binary64_22612`
485×	`distribute-rgt-in_binary64_22534`
438×	`distribute-lft-in_binary64_22533`
422×	`swap-sqr_binary64_22551`
365×	`times-frac_binary64_22590`
318×	`cube-div_binary64_22613`
316×	`associate-/l*_binary64_22529`
266×	`*-commutative_binary64_22515`
246×	`associate-/l/_binary64_22531`
236×	`associate-/r*_binary64_22528`
208×	`associate-/r/_binary64_22530`
195×	`unpow3_binary64_22650` `cube-mult_binary64_22614`
163×	`distribute-rgt-out_binary64_22537`
141×	`sqr-pow_binary64_22556`
80×	`associate-*l/_binary64_22527`
77×	`*-lft-identity_binary64_22573`
73×	`*-rgt-identity_binary64_22574`
56×	`unswap-sqr_binary64_22552`
44×	`associate-l_binary64_22525`
40×	`associate-r_binary64_22524`
28×	`distribute-rgt1-in_binary64_22540`
26×	`+-commutative_binary64_22514`
24×	`associate-*r/_binary64_22526`
16×	`pow-sqr_binary64_22557`
15×	`distribute-lft1-in_binary64_22539`
14×	`distribute-lft-out_binary64_22535`
13×	`/-rgt-identity_binary64_22575`
12×	`remove-double-div_binary64_22560`
6×	`lft-mult-inverse_binary64_22562`
3×	`*-inverses_binary64_22564`
2×	`cube-unmult_binary64_22621`
1×	`1-exp_binary64_22628`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `log-pow_binary64_22673` `log-rec_binary64_22672` `log-div_binary64_22671` `log-prod_binary64_22670` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `unpow2_binary64_22649` `unpow1/2_binary64_22648` `pow-plus_binary64_22647` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow1_binary64_22642` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `exp-prod_binary64_22636` `div-exp_binary64_22635` `rec-exp_binary64_22634` `prod-exp_binary64_22633` `exp-diff_binary64_22632` `exp-neg_binary64_22631` `exp-sum_binary64_22630` `e-exp-1_binary64_22629` `exp-1-e_binary64_22627` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `rem-sqrt-square_binary64_22597` `rem-square-sqrt_binary64_22596` `div-sub_binary64_22589` `neg-mul-1_binary64_22580` `neg-sub0_binary64_22579` `unsub-neg_binary64_22578` `sub-neg_binary64_22577` `mul-1-neg_binary64_22576` `remove-double-neg_binary64_22572` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `div0_binary64_22565` `+-inverses_binary64_22563` `rgt-mult-inverse_binary64_22561` `difference-of-sqr--1_binary64_22555` `difference-of-sqr-1_binary64_22554` `difference-of-squares_binary64_22553` `cancel-sign-sub-inv_binary64_22550` `cancel-sign-sub_binary64_22549` `distribute-neg-frac_binary64_22548` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-neg-in_binary64_22545` `distribute-rgt-neg-out_binary64_22544` `distribute-lft-neg-out_binary64_22543` `distribute-rgt-neg-in_binary64_22542` `distribute-lft-neg-in_binary64_22541` `distribute-rgt-out--_binary64_22538` `distribute-lft-out--_binary64_22536` `count-2_binary64_22532` `associate--r-_binary64_22523` `associate--l-_binary64_22522` `associate--l+_binary64_22521` `associate--r+_binary64_22520` `associate-+l-_binary64_22519` `associate-+r-_binary64_22518` `associate-+l+_binary64_22517` `associate-+r+_binary64_22516`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	38	32
2	50	32
3	146	32
4	240	32
5	470	32
6	610	32
7	682	32
8	1363	32
9	1648	32
10	1906	32
11	2219	32
12	2979	32
13	3430	32
14	4283	32
15	5007	32
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

985×	`distribute-rgt-in_binary64_22534`
960×	`distribute-lft-in_binary64_22533`
653×	`associate-/l*_binary64_22529`
602×	`cube-prod_binary64_22612`
535×	`associate-/l/_binary64_22531`
428×	`associate-/r*_binary64_22528`
406×	`unswap-sqr_binary64_22552`
398×	`times-frac_binary64_22590`
368×	`associate-*l/_binary64_22527`
318×	`associate-/r/_binary64_22530`
240×	`cube-div_binary64_22613`
159×	`*-commutative_binary64_22515`
144×	`distribute-rgt-out_binary64_22537`
126×	`unpow3_binary64_22650`
124×	`cube-mult_binary64_22614`
63×	`swap-sqr_binary64_22551`
56×	`sqr-pow_binary64_22556`
54×	`-lft-identity_binary64_22573` `associate-l*_binary64_22525`
42×	`*-rgt-identity_binary64_22574`
38×	`associate-r_binary64_22524`
28×	`associate-*r/_binary64_22526`
25×	`pow-sqr_binary64_22557`
23×	`+-commutative_binary64_22514`
22×	`distribute-rgt1-in_binary64_22540`
20×	`distribute-lft-out_binary64_22535`
10×	`remove-double-div_binary64_22560`
9×	`/-rgt-identity_binary64_22575`
6×	`lft-mult-inverse_binary64_22562`
5×	`distribute-lft1-in_binary64_22539`
4×	`cube-unmult_binary64_22621` `*-inverses_binary64_22564`
1×	`unpow2_binary64_22649` `pow-plus_binary64_22647` `1-exp_binary64_22628`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `log-pow_binary64_22673` `log-rec_binary64_22672` `log-div_binary64_22671` `log-prod_binary64_22670` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `unpow1/2_binary64_22648` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow1_binary64_22642` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `exp-prod_binary64_22636` `div-exp_binary64_22635` `rec-exp_binary64_22634` `prod-exp_binary64_22633` `exp-diff_binary64_22632` `exp-neg_binary64_22631` `exp-sum_binary64_22630` `e-exp-1_binary64_22629` `exp-1-e_binary64_22627` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `rem-sqrt-square_binary64_22597` `rem-square-sqrt_binary64_22596` `div-sub_binary64_22589` `neg-mul-1_binary64_22580` `neg-sub0_binary64_22579` `unsub-neg_binary64_22578` `sub-neg_binary64_22577` `mul-1-neg_binary64_22576` `remove-double-neg_binary64_22572` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `div0_binary64_22565` `+-inverses_binary64_22563` `rgt-mult-inverse_binary64_22561` `difference-of-sqr--1_binary64_22555` `difference-of-sqr-1_binary64_22554` `difference-of-squares_binary64_22553` `cancel-sign-sub-inv_binary64_22550` `cancel-sign-sub_binary64_22549` `distribute-neg-frac_binary64_22548` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-neg-in_binary64_22545` `distribute-rgt-neg-out_binary64_22544` `distribute-lft-neg-out_binary64_22543` `distribute-rgt-neg-in_binary64_22542` `distribute-lft-neg-in_binary64_22541` `distribute-rgt-out--_binary64_22538` `distribute-lft-out--_binary64_22536` `count-2_binary64_22532` `associate--r-_binary64_22523` `associate--l-_binary64_22522` `associate--l+_binary64_22521` `associate--r+_binary64_22520` `associate-+l-_binary64_22519` `associate-+r-_binary64_22518` `associate-+l+_binary64_22517` `associate-+r+_binary64_22516`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	22	16
2	28	16
3	69	16
4	100	16
5	206	16
6	379	16
7	360	16
8	684	16
9	768	16
10	860	16
11	1008	16
12	1175	16
13	1412	16
14	2748	16
15	3005	16
16	4321	16
17	5574	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

7.8b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
7.3b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite95.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64_22584`
9×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620`
8×	`add-sqr-sqrt_binary64_22606`
6×	`add-cube-cbrt_binary64_22619`
4×	`pow1_binary64_22645` `times-frac_binary64_22590` `associate-r/_binary64_22526` `associate-/r_binary64_22528` `associate-r_binary64_22524`
3×	`distribute-lft-out_binary64_22535` `flip3-+_binary64_22587` `flip-+_binary64_22558` `associate-l_binary64_22525`
2×	`prod-exp_binary64_22633` `div-exp_binary64_22635` `add-log-exp_binary64_22623` `cbrt-undiv_binary64_22618` `cbrt-unprod_binary64_22617` `associate-/l/_binary64_22531` `associate-/r/_binary64_22530`
1×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `div-inv_binary64_22581` `associate-/l_binary64_22529` `pow-prod-down_binary64_22655` `unswap-sqr_binary64_22552` `distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533` `-commutative_binary64_22515`

Counts

2 → 50

Calls

2 calls:

15.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
14.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

Compiler

Compiled 953 to 561 computations (41.1% saved)

series329.0ms (4.4%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

175.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
126.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

Compiler

Compiled 839 to 624 computations (25.6% saved)

simplify129.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary64_22529`
350×	`associate-l_binary64_22525`
324×	`distribute-rgt-in_binary64_22534`
313×	`associate-*l/_binary64_22527`
282×	`distribute-lft-in_binary64_22533`
242×	`associate-/l/_binary64_22531` `associate-/r*_binary64_22528`
223×	`cancel-sign-sub-inv_binary64_22550`
206×	`associate-*r/_binary64_22526`
200×	`sub-neg_binary64_22577`
177×	`div-sub_binary64_22589` `associate-/r/_binary64_22530`
94×	`unsub-neg_binary64_22578`
89×	`unswap-sqr_binary64_22552`
75×	`*-rgt-identity_binary64_22574`
72×	`neg-sub0_binary64_22579`
71×	`cube-div_binary64_22613` `neg-mul-1_binary64_22580` `distribute-neg-frac_binary64_22548` `distribute-rgt-out_binary64_22537`
67×	`log-div_binary64_22671`
65×	`distribute-rgt-neg-in_binary64_22542`
55×	`cube-prod_binary64_22612`
54×	`sqr-pow_binary64_22556`
53×	`distribute-lft-neg-in_binary64_22541`
52×	`associate-r_binary64_22524`
51×	`+-commutative_binary64_22514`
48×	`*-lft-identity_binary64_22573`
47×	`log-prod_binary64_22670`
46×	`associate--l+_binary64_22521`
44×	`times-frac_binary64_22590`
43×	`distribute-neg-in_binary64_22545`
39×	`exp-prod_binary64_22636`
38×	`*-commutative_binary64_22515`
36×	`remove-double-div_binary64_22560`
34×	`distribute-rgt-out--_binary64_22538`
32×	`associate-+l+_binary64_22517`
29×	`unpow3_binary64_22650` `/-rgt-identity_binary64_22575`
28×	`associate--r+_binary64_22520`
26×	`swap-sqr_binary64_22551`
23×	`cube-mult_binary64_22614`
22×	`associate-+r+_binary64_22516`
18×	`pow-sqr_binary64_22557`
16×	`log-rec_binary64_22672` `distribute-rgt1-in_binary64_22540`
15×	`rem-sqrt-square_binary64_22597`
9×	`cube-unmult_binary64_22621`
8×	`exp-sum_binary64_22630`
6×	`div0_binary64_22565` `distribute-rgt-neg-out_binary64_22544` `distribute-lft-out_binary64_22535`
5×	`unpow1/2_binary64_22648` `pow-plus_binary64_22647` `remove-double-neg_binary64_22572`
4×	`log-pow_binary64_22673` `distribute-neg-out_binary64_22546` `distribute-lft-neg-out_binary64_22543`
3×	`difference-of-sqr-1_binary64_22554` `difference-of-squares_binary64_22553` `distribute-lft1-in_binary64_22539`
1×	`unpow2_binary64_22649` `unpow1_binary64_22642` `1-exp_binary64_22628` `exp-1-e_binary64_22627` `*-inverses_binary64_22564` `difference-of-sqr--1_binary64_22555` `distribute-lft-out--_binary64_22536` `associate-+l-_binary64_22519` `associate-+r-_binary64_22518`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `div-exp_binary64_22635` `rec-exp_binary64_22634` `prod-exp_binary64_22633` `exp-diff_binary64_22632` `exp-neg_binary64_22631` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `rem-square-sqrt_binary64_22596` `mul-1-neg_binary64_22576` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `+-inverses_binary64_22563` `lft-mult-inverse_binary64_22562` `rgt-mult-inverse_binary64_22561` `cancel-sign-sub_binary64_22549` `distribute-frac-neg_binary64_22547` `count-2_binary64_22532` `associate--r-_binary64_22523` `associate--l-_binary64_22522`

Counts

80 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1377
1	360	1231
2	1332	1199
3	4021	1199
4	4587	1199
5	4897	1199
6	5018	1199

prune60.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Error

0.0b

Counts

60 → 5

Compiler

Compiled 974 to 480 computations (50.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 x x) y))
7.3b	(/.f64 (+.f64 x (/.f64 (*.f64 x x) y)) (+.f64 x 1))
10.4b	(/.f64 (*.f64 x x) y)

rewrite97.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`*-un-lft-identity_binary64_22584`
19×	`times-frac_binary64_22590`
15×	`add-cube-cbrt_binary64_22619` `add-sqr-sqrt_binary64_22606`
11×	`distribute-lft-out_binary64_22535`
10×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620`
7×	`associate-/r*_binary64_22528`
5×	`add-log-exp_binary64_22623` `associate-/l*_binary64_22529`
3×	`pow1_binary64_22645` `div-exp_binary64_22635` `cbrt-undiv_binary64_22618` `flip3-+_binary64_22587` `flip-+_binary64_22558`
2×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `div-inv_binary64_22581` `associate-/l/_binary64_22531` `associate-/r/_binary64_22530`
1×	`prod-exp_binary64_22633` `cbrt-unprod_binary64_22617` `sum-log_binary64_22675` `+-commutative_binary64_22514`

Counts

3 → 73

Calls

3 calls:

10.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 x x) y)) (+.f64 x 1))
5.0ms	(+.f64 x (/.f64 (*.f64 x x) y))
5.0ms	(/.f64 (*.f64 x x) y)

Compiler

Compiled 1461 to 536 computations (63.3% saved)

series430.0ms (5.8%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

179.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 x x) y)) (+.f64 x 1))
122.0ms	(+.f64 x (/.f64 (*.f64 x x) y))
97.0ms	(/.f64 (*.f64 x x) y)

Compiler

Compiled 1037 to 774 computations (25.4% saved)

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

406×	`sub-neg_binary64_22577`
331×	`associate-/l*_binary64_22529`
302×	`times-frac_binary64_22590`
236×	`unsub-neg_binary64_22578`
235×	`associate--l+_binary64_22521`
215×	`associate-+l+_binary64_22517`
207×	`associate-*l/_binary64_22527`
193×	`associate-/l/_binary64_22531`
169×	`unswap-sqr_binary64_22552`
162×	`associate-l_binary64_22525`
145×	`distribute-rgt-in_binary64_22534`
142×	`associate-*r/_binary64_22526`
140×	`associate-/r*_binary64_22528`
137×	`associate-r_binary64_22524`
136×	`+-commutative_binary64_22514`
132×	`associate-+r+_binary64_22516`
131×	`associate--r+_binary64_22520`
122×	`div-sub_binary64_22589`
110×	`distribute-lft-in_binary64_22533`
95×	`neg-mul-1_binary64_22580`
90×	`*-commutative_binary64_22515`
89×	`associate-/r/_binary64_22530`
79×	`neg-sub0_binary64_22579`
75×	`cancel-sign-sub-inv_binary64_22550`
48×	`associate-+l-_binary64_22519`
45×	`log-prod_binary64_22670` `associate-+r-_binary64_22518`
36×	`cube-prod_binary64_22612`
35×	`sqr-pow_binary64_22556` `distribute-neg-frac_binary64_22548`
32×	`log-div_binary64_22671`
31×	`*-lft-identity_binary64_22573`
30×	`*-rgt-identity_binary64_22574` `+-rgt-identity_binary64_22569`
28×	`cube-div_binary64_22613`
26×	`distribute-rgt-neg-in_binary64_22542` `distribute-rgt-out_binary64_22537`
25×	`distribute-neg-in_binary64_22545`
22×	`distribute-lft-neg-in_binary64_22541`
20×	`unpow3_binary64_22650`
19×	`exp-prod_binary64_22636` `sub0-neg_binary64_22571`
14×	`pow-plus_binary64_22647` `difference-of-squares_binary64_22553`
13×	`cube-mult_binary64_22614` `distribute-rgt-out--_binary64_22538` `associate--l-_binary64_22522`
10×	`exp-sum_binary64_22630` `cube-unmult_binary64_22621` `/-rgt-identity_binary64_22575` `distribute-rgt1-in_binary64_22540`
7×	`distribute-lft-neg-out_binary64_22543`
5×	`log-pow_binary64_22673`
3×	`div0_binary64_22565` `distribute-rgt-neg-out_binary64_22544`
2×	`log-rec_binary64_22672` `pow-sqr_binary64_22557` `difference-of-sqr-1_binary64_22554` `swap-sqr_binary64_22551`
1×	`unpow2_binary64_22649` `unpow1/2_binary64_22648` `unpow1_binary64_22642` `prod-exp_binary64_22633` `1-exp_binary64_22628` `exp-1-e_binary64_22627` `rem-sqrt-square_binary64_22597` `remove-double-neg_binary64_22572` `difference-of-sqr--1_binary64_22555` `distribute-lft1-in_binary64_22539` `count-2_binary64_22532`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `div-exp_binary64_22635` `rec-exp_binary64_22634` `exp-diff_binary64_22632` `exp-neg_binary64_22631` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `rem-square-sqrt_binary64_22596` `mul-1-neg_binary64_22576` `--rgt-identity_binary64_22570` `+-lft-identity_binary64_22568` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `*-inverses_binary64_22564` `+-inverses_binary64_22563` `lft-mult-inverse_binary64_22562` `rgt-mult-inverse_binary64_22561` `remove-double-div_binary64_22560` `cancel-sign-sub_binary64_22549` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-lft-out--_binary64_22536` `distribute-lft-out_binary64_22535` `associate--r-_binary64_22523`

Counts

109 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1966
1	373	1871
2	1117	1836
3	4063	1836
4	4648	1836
5	4976	1836

prune52.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	59	5	64

Error

0.0b

Counts

64 → 5

Compiler

Compiled 958 to 413 computations (56.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
0.2b	(pow.f64 (/.f64 x y) 3)
0.5b	(*.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3)))
18.1b	(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3))) (.f64 (+.f64 x 1) (+.f64 1 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))

rewrite449.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64_22606`
46×	`*-un-lft-identity_binary64_22584`
32×	`times-frac_binary64_22590`
31×	`add-cube-cbrt_binary64_22619`
26×	`add-exp-log_binary64_22622` `add-cbrt-cube_binary64_22620`
20×	`associate-r_binary64_22524`
17×	`unpow-prod-down_binary64_22663` `cube-prod_binary64_22612`
16×	`associate-l_binary64_22525`
9×	`pow1_binary64_22645`
8×	`flip3-+_binary64_22587` `associate-*r/_binary64_22526` `flip-+_binary64_22558` `associate-/r/_binary64_22530`
7×	`prod-exp_binary64_22633` `cbrt-unprod_binary64_22617`
6×	`div-exp_binary64_22635` `cbrt-undiv_binary64_22618` `frac-times_binary64_22594` `distribute-lft-out_binary64_22535` `cancel-sign-sub-inv_binary64_22550`
5×	`distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533`
4×	`add-log-exp_binary64_22623` `div-inv_binary64_22581` `difference-of-squares_binary64_22553`
3×	`associate-*l/_binary64_22527` `unswap-sqr_binary64_22552` `pow-unpow_binary64_22661`
2×	`associate-/l/_binary64_22531` `pow-prod-down_binary64_22655` `cube-mult_binary64_22614` `*-commutative_binary64_22515` `pow-exp_binary64_22652` `rem-cube-cbrt_binary64_22607` `flip3--_binary64_22588` `flip--_binary64_22559` `sub-neg_binary64_22577` `difference-of-sqr-1_binary64_22554`
1×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `associate-/l_binary64_22529` `associate-/r_binary64_22528` `sum-cubes_binary64_22585` `pow-pow_binary64_22656` `pow-to-exp_binary64_22653` `unpow3_binary64_22650` `cube-div_binary64_22613` `sqr-pow_binary64_22556` `distribute-lft-out--_binary64_22536`

Counts

4 → 157

Calls

4 calls:

42.0ms	(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3))) (.f64 (+.f64 x 1) (+.f64 1 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))
32.0ms	(*.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3)))
23.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
5.0ms	(pow.f64 (/.f64 x y) 3)

Compiler

Compiled 6038 to 3533 computations (41.5% saved)

series993.0ms (13.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

341.0ms	(*.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3)))
294.0ms	(/.f64 (.f64 x (+.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 1 3))) (.f64 (+.f64 x 1) (+.f64 1 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))
178.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
125.0ms	(pow.f64 (/.f64 x y) 3)

Compiler

Compiled 2881 to 2080 computations (27.8% saved)

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-l_binary64_22525`
297×	`associate-r_binary64_22524`
278×	`times-frac_binary64_22590`
250×	`associate-/l*_binary64_22529`
218×	`distribute-rgt-in_binary64_22534`
208×	`distribute-lft-in_binary64_22533`
167×	`log-prod_binary64_22670`
166×	`associate-*l/_binary64_22527`
145×	`*-commutative_binary64_22515`
138×	`associate-*r/_binary64_22526`
134×	`associate-/r*_binary64_22528`
125×	`exp-prod_binary64_22636`
113×	`cube-div_binary64_22613`
97×	`+-commutative_binary64_22514`
84×	`log-div_binary64_22671`
69×	`sqr-pow_binary64_22556`
49×	`associate--l+_binary64_22521`
46×	`sub-neg_binary64_22577`
43×	`unpow3_binary64_22650`
41×	`associate-+l+_binary64_22517`
40×	`cube-mult_binary64_22614`
33×	`associate-+r+_binary64_22516`
31×	`associate--r+_binary64_22520`
29×	`cancel-sign-sub-inv_binary64_22550`
25×	`distribute-rgt-neg-in_binary64_22542`
24×	`unswap-sqr_binary64_22552`
21×	`distribute-neg-in_binary64_22545`
20×	`log-pow_binary64_22673` `neg-mul-1_binary64_22580` `neg-sub0_binary64_22579` `associate-/l/_binary64_22531` `associate-/r/_binary64_22530`
19×	`distribute-lft-neg-in_binary64_22541`
16×	`cube-prod_binary64_22612` `*-rgt-identity_binary64_22574` `swap-sqr_binary64_22551`
13×	`*-lft-identity_binary64_22573`
11×	`pow-plus_binary64_22647`
9×	`cube-unmult_binary64_22621`
8×	`exp-sum_binary64_22630`
7×	`distribute-neg-frac_binary64_22548`
5×	`distribute-rgt1-in_binary64_22540`
4×	`log-rec_binary64_22672` `unpow1/2_binary64_22648` `unpow1_binary64_22642` `pow-sqr_binary64_22557` `difference-of-sqr--1_binary64_22555` `distribute-rgt-neg-out_binary64_22544` `distribute-lft-neg-out_binary64_22543` `distribute-rgt-out_binary64_22537` `associate-+r-_binary64_22518`
3×	`unpow2_binary64_22649` `rem-cube-cbrt_binary64_22607` `rem-sqrt-square_binary64_22597` `difference-of-sqr-1_binary64_22554` `associate-+l-_binary64_22519`
2×	`exp-diff_binary64_22632` `rem-square-sqrt_binary64_22596` `/-rgt-identity_binary64_22575`
1×	`1-exp_binary64_22628` `exp-1-e_binary64_22627` `rem-3cbrt-lft_binary64_22609` `rem-cbrt-cube_binary64_22608` `mul-1-neg_binary64_22576` `distribute-rgt-out--_binary64_22538`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `div-exp_binary64_22635` `rec-exp_binary64_22634` `prod-exp_binary64_22633` `exp-neg_binary64_22631` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-3cbrt-rft_binary64_22610` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `div-sub_binary64_22589` `unsub-neg_binary64_22578` `remove-double-neg_binary64_22572` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `div0_binary64_22565` `*-inverses_binary64_22564` `+-inverses_binary64_22563` `lft-mult-inverse_binary64_22562` `rgt-mult-inverse_binary64_22561` `remove-double-div_binary64_22560` `difference-of-squares_binary64_22553` `cancel-sign-sub_binary64_22549` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-lft1-in_binary64_22539` `distribute-lft-out--_binary64_22536` `distribute-lft-out_binary64_22535` `count-2_binary64_22532` `associate--r-_binary64_22523` `associate--l-_binary64_22522`

Counts

205 → 167

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4260
1	961	3665
2	4287	3646
3	4954	3646

prune293.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	165	7	172

Error

Counts

172 → 7

Compiler

Compiled 5428 to 3185 computations (41.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
0.2b	(pow.f64 (/.f64 x y) 2)
0.3b	(*.f64 x (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
18.1b	(/.f64 (.f64 (.f64 x (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))) (+.f64 (/.f64 x y) 1)) (.f64 (+.f64 x 1) (+.f64 1 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))

rewrite477.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_22606`
35×	`add-exp-log_binary64_22622`
33×	`*-un-lft-identity_binary64_22584`
32×	`add-cbrt-cube_binary64_22620`
24×	`add-cube-cbrt_binary64_22619`
23×	`times-frac_binary64_22590`
16×	`associate-l_binary64_22525`
15×	`associate-r_binary64_22524`
14×	`associate-*r/_binary64_22526`
13×	`flip3-+_binary64_22587` `flip-+_binary64_22558` `unpow-prod-down_binary64_22663`
12×	`prod-exp_binary64_22633` `cbrt-unprod_binary64_22617`
10×	`frac-times_binary64_22594`
9×	`pow1_binary64_22645`
8×	`div-exp_binary64_22635` `associate-/l/_binary64_22531` `associate-/r/_binary64_22530`
7×	`cbrt-undiv_binary64_22618`
6×	`cancel-sign-sub-inv_binary64_22550`
5×	`associate-*l/_binary64_22527` `distribute-rgt-in_binary64_22534` `distribute-lft-in_binary64_22533`
4×	`add-log-exp_binary64_22623` `difference-of-squares_binary64_22553`
3×	`div-inv_binary64_22581` `unswap-sqr_binary64_22552` `pow-unpow_binary64_22661`
2×	`pow-prod-down_binary64_22655` `distribute-lft-out_binary64_22535` `distribute-lft-out--_binary64_22536` `*-commutative_binary64_22515` `pow-exp_binary64_22652` `flip3--_binary64_22588` `flip--_binary64_22559` `sub-neg_binary64_22577` `difference-of-sqr-1_binary64_22554`
1×	`frac-2neg_binary64_22595` `clear-num_binary64_22583` `associate-/l_binary64_22529` `associate-/r_binary64_22528` `pow-pow_binary64_22656` `pow-to-exp_binary64_22653` `unpow2_binary64_22649` `sqr-pow_binary64_22556`

Counts

4 → 145

Calls

4 calls:

49.0ms	(/.f64 (.f64 (.f64 x (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))) (+.f64 (/.f64 x y) 1)) (.f64 (+.f64 x 1) (+.f64 1 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))
27.0ms	(*.f64 x (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
22.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
5.0ms	(pow.f64 (/.f64 x y) 2)

Compiler

Compiled 7228 to 3773 computations (47.8% saved)

series902.0ms (12.2%)

Error

Counts

4 → 54

Calls

4 calls:

345.0ms	(*.f64 x (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))
199.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1))
182.0ms	(/.f64 (.f64 (.f64 x (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y)))) (+.f64 (/.f64 x y) 1)) (.f64 (+.f64 x 1) (+.f64 1 (.f64 (/.f64 x y) (-.f64 (/.f64 x y) 1)))))
101.0ms	(pow.f64 (/.f64 x y) 2)

Compiler

Compiled 3635 to 2340 computations (35.6% saved)

simplify180.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

375×	`associate-l_binary64_22525`
370×	`times-frac_binary64_22590`
344×	`distribute-rgt-in_binary64_22534`
331×	`distribute-lft-in_binary64_22533`
308×	`associate-r_binary64_22524`
265×	`associate-/l*_binary64_22529`
155×	`associate-/r*_binary64_22528`
134×	`associate-*l/_binary64_22527`
119×	`log-prod_binary64_22670`
116×	`sqr-pow_binary64_22556`
99×	`associate-*r/_binary64_22526`
90×	`log-div_binary64_22671`
82×	`sub-neg_binary64_22577`
72×	`*-commutative_binary64_22515`
59×	`*-lft-identity_binary64_22573`
55×	`*-rgt-identity_binary64_22574`
54×	`cube-prod_binary64_22612`
53×	`div-sub_binary64_22589`
48×	`neg-sub0_binary64_22579`
46×	`neg-mul-1_binary64_22580`
44×	`unsub-neg_binary64_22578`
43×	`exp-prod_binary64_22636`
36×	`+-commutative_binary64_22514`
25×	`cancel-sign-sub-inv_binary64_22550`
24×	`distribute-neg-in_binary64_22545`
23×	`cube-div_binary64_22613` `associate-/r/_binary64_22530`
22×	`unpow2_binary64_22649` `unpow1/2_binary64_22648` `unpow1_binary64_22642` `mul-1-neg_binary64_22576` `distribute-rgt-neg-in_binary64_22542`
21×	`log-pow_binary64_22673`
19×	`distribute-lft-neg-in_binary64_22541`
17×	`swap-sqr_binary64_22551` `distribute-rgt-out_binary64_22537` `associate-/l/_binary64_22531`
15×	`/-rgt-identity_binary64_22575`
14×	`pow-sqr_binary64_22557`
12×	`cube-unmult_binary64_22621`
10×	`unswap-sqr_binary64_22552`
9×	`exp-sum_binary64_22630` `associate--l+_binary64_22521` `associate-+r+_binary64_22516`
8×	`unpow3_binary64_22650`
6×	`distribute-rgt1-in_binary64_22540` `associate--r+_binary64_22520`
5×	`cube-mult_binary64_22614` `distribute-lft-neg-out_binary64_22543`
4×	`pow-plus_binary64_22647` `rem-sqrt-square_binary64_22597` `distribute-rgt-neg-out_binary64_22544` `distribute-rgt-out--_binary64_22538`
3×	`log-rec_binary64_22672` `exp-diff_binary64_22632` `distribute-neg-frac_binary64_22548` `associate-+r-_binary64_22518`
2×	`rem-3cbrt-rft_binary64_22610` `rem-3cbrt-lft_binary64_22609` `rem-square-sqrt_binary64_22596` `remove-double-neg_binary64_22572` `difference-of-sqr--1_binary64_22555` `difference-of-sqr-1_binary64_22554`
1×	`1-exp_binary64_22628` `exp-1-e_binary64_22627` `*-inverses_binary64_22564` `difference-of-squares_binary64_22553` `associate--r-_binary64_22523` `associate-+l-_binary64_22519` `associate-+l+_binary64_22517`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_22847` `erf-erfc_binary64_22846` `erf-odd_binary64_22845` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `not-gte_binary64_22836` `not-lte_binary64_22835` `not-gt_binary64_22834` `not-lt_binary64_22833` `gte-same_binary64_22832` `lte-same_binary64_22831` `gt-same_binary64_22830` `lt-same_binary64_22829` `sinh---cosh_binary64_22776` `sinh-+-cosh_binary64_22775` `sinh-cosh_binary64_22774` `tanh-def-c_binary64_22773` `tanh-def-b_binary64_22772` `tanh-def-a_binary64_22771` `cosh-def_binary64_22770` `sinh-def_binary64_22769` `tan-neg_binary64_22716` `cos-neg_binary64_22715` `sin-neg_binary64_22714` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `hang-m-tan_binary64_22710` `hang-p-tan_binary64_22709` `hang-m0-tan_binary64_22708` `hang-p0-tan_binary64_22707` `hang-0m-tan_binary64_22706` `hang-0p-tan_binary64_22705` `tan-+PI/2_binary64_22704` `tan-+PI_binary64_22703` `tan-PI_binary64_22702` `tan-PI/3_binary64_22701` `tan-PI/4_binary64_22700` `tan-PI/6_binary64_22699` `cos-+PI/2_binary64_22698` `cos-+PI_binary64_22697` `cos-PI_binary64_22696` `cos-PI/2_binary64_22695` `cos-PI/3_binary64_22694` `cos-PI/4_binary64_22693` `cos-PI/6_binary64_22692` `sin-+PI/2_binary64_22691` `sin-+PI_binary64_22690` `sin-PI_binary64_22689` `sin-PI/2_binary64_22688` `sin-PI/3_binary64_22687` `sin-PI/4_binary64_22686` `sin-PI/6_binary64_22685` `sub-1-sin_binary64_22684` `sub-1-cos_binary64_22683` `-1-add-sin_binary64_22682` `-1-add-cos_binary64_22681` `1-sub-sin_binary64_22680` `1-sub-cos_binary64_22679` `cos-sin-sum_binary64_22678` `log-E_binary64_22674` `pow-base-0_binary64_22668` `unpow1/3_binary64_22651` `exp-to-pow_binary64_22646` `pow-base-1_binary64_22644` `unpow0_binary64_22643` `unpow-1_binary64_22641` `exp-lft-cube_binary64_22640` `exp-lft-sqr_binary64_22639` `exp-cbrt_binary64_22638` `exp-sqrt_binary64_22637` `div-exp_binary64_22635` `rec-exp_binary64_22634` `prod-exp_binary64_22633` `exp-neg_binary64_22631` `e-exp-1_binary64_22629` `exp-0_binary64_22626` `rem-log-exp_binary64_22625` `rem-exp-log_binary64_22624` `cube-neg_binary64_22611` `rem-cbrt-cube_binary64_22608` `rem-cube-cbrt_binary64_22607` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `mul0-rgt_binary64_22567` `mul0-lft_binary64_22566` `div0_binary64_22565` `+-inverses_binary64_22563` `lft-mult-inverse_binary64_22562` `rgt-mult-inverse_binary64_22561` `remove-double-div_binary64_22560` `cancel-sign-sub_binary64_22549` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-lft1-in_binary64_22539` `distribute-lft-out--_binary64_22536` `distribute-lft-out_binary64_22535` `count-2_binary64_22532` `associate--l-_binary64_22522`

Counts

199 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	5596
1	1018	4673
2	4277	3958
3	4892	3958
4	4969	3958

prune292.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	162	7	169

Error

Counts

169 → 7

Compiler

Compiled 6013 to 3100 computations (48.4% saved)

regimes350.0ms (4.7%)

Accuracy

Total 0.1b remaining (98.6%)

Threshold costs 0.1b (98.6%)

Compiler

Compiled 3428 to 2479 computations (27.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_22514`
1×	`1-exp_binary64_22628`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_22844` `if-if-and_binary64_22843` `if-if-or-not_binary64_22842` `if-if-or_binary64_22841` `if-not_binary64_22840` `if-same_binary64_22839` `if-false_binary64_22838` `if-true_binary64_22837` `tan-0_binary64_22713` `cos-0_binary64_22712` `sin-0_binary64_22711` `unpow1_binary64_22642` `e-exp-1_binary64_22629` `exp-1-e_binary64_22627` `exp-0_binary64_22626` `sqr-abs_binary64_22599` `sqr-neg_binary64_22598` `neg-mul-1_binary64_22580` `neg-sub0_binary64_22579` `unsub-neg_binary64_22578` `sub-neg_binary64_22577` `mul-1-neg_binary64_22576` `/-rgt-identity_binary64_22575` `-rgt-identity_binary64_22574` `-lft-identity_binary64_22573` `remove-double-neg_binary64_22572` `sub0-neg_binary64_22571` `--rgt-identity_binary64_22570` `+-rgt-identity_binary64_22569` `+-lft-identity_binary64_22568` `cancel-sign-sub-inv_binary64_22550` `cancel-sign-sub_binary64_22549` `distribute-neg-frac_binary64_22548` `distribute-frac-neg_binary64_22547` `distribute-neg-out_binary64_22546` `distribute-neg-in_binary64_22545` `distribute-rgt-neg-out_binary64_22544` `distribute-lft-neg-out_binary64_22543` `distribute-rgt-neg-in_binary64_22542` `distribute-lft-neg-in_binary64_22541` `*-commutative_binary64_22515`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16
2	12	16

end0.0ms (0%)

sample1.5s (20.1%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
7.0ms	236×	body	128	invalid

Compiler

Compiled 1138 to 826 computations (27.4% saved)

Details

analyze365.0ms (4.9%)

sample18.0ms (0.2%)

simplify110.0ms (1.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite95.0ms (1.3%)

series329.0ms (4.4%)

simplify129.0ms (1.7%)

prune60.0ms (0.8%)

localize7.0ms (0.1%)

rewrite97.0ms (1.3%)

series430.0ms (5.8%)

simplify119.0ms (1.6%)

prune52.0ms (0.7%)

localize14.0ms (0.2%)

rewrite449.0ms (6.1%)

series993.0ms (13.4%)

simplify137.0ms (1.8%)

prune293.0ms (3.9%)

localize17.0ms (0.2%)

rewrite477.0ms (6.4%)

series902.0ms (12.2%)

simplify180.0ms (2.4%)

prune292.0ms (3.9%)

regimes350.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (20.1%)

Profiling