Details

analyze986.0ms (18.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64`
713×	`unsub-neg_binary64`
611×	`distribute-rgt-in_binary64`
549×	`sub-neg_binary64`
547×	`neg-mul-1_binary64`
527×	`associate-/l*_binary64`
475×	`neg-sub0_binary64`
389×	`associate-/r*_binary64`
384×	`distribute-rgt-neg-in_binary64`
371×	`distribute-frac-neg_binary64`
354×	`*-commutative_binary64`
348×	`distribute-lft-neg-in_binary64`
326×	`cancel-sign-sub-inv_binary64`
304×	`distribute-neg-frac_binary64`
271×	`associate--r+_binary64`
245×	`distribute-lft-in_binary64`
234×	`distribute-rgt-neg-out_binary64`
215×	`distribute-lft-neg-out_binary64`
187×	`+-commutative_binary64`
175×	`distribute-neg-in_binary64`
168×	`remove-double-neg_binary64`
111×	`associate-+l-_binary64`
100×	`associate--l+_binary64`
85×	`associate-+r+_binary64`
84×	`distribute-neg-out_binary64`
72×	`/-rgt-identity_binary64`
71×	`div0_binary64`
65×	`associate-+l+_binary64`
64×	`mul0-rgt_binary64`
60×	`mul0-lft_binary64`
59×	`associate-+r-_binary64`
58×	`associate-/r/_binary64`
47×	`associate-*l/_binary64`
45×	`distribute-rgt-out--_binary64`
44×	`distribute-rgt-out_binary64`
43×	`sub0-neg_binary64`
41×	`+-rgt-identity_binary64`
39×	`associate-r_binary64`
34×	`associate-*r/_binary64`
33×	`associate-l_binary64`
31×	`*-lft-identity_binary64`
26×	`distribute-lft-out--_binary64` `associate--r-_binary64`
25×	`associate--l-_binary64`
19×	`+-lft-identity_binary64` `associate-/l/_binary64`
15×	`*-rgt-identity_binary64`
12×	`distribute-rgt1-in_binary64`
7×	`distribute-lft1-in_binary64`
2×	`distribute-lft-out_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	91
1	69	91
2	145	91
3	377	91
4	641	91
5	1373	91
6	2195	91
7	3738	91
8	3828	91
9	4063	91
10	4209	91
11	4355	91
12	4523	91
13	4631	91
14	4841	91
15	4959	91
16	4959	91
17	4959	91
18	4984	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	57×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

228×	`cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-in_binary64`
100×	`unsub-neg_binary64`
99×	`div-sub_binary64`
96×	`associate-r_binary64`
93×	`distribute-lft-in_binary64`
85×	`associate-/l*_binary64`
82×	`associate-l_binary64`
71×	`sub-neg_binary64`
60×	`distribute-rgt-neg-in_binary64`
56×	`distribute-rgt-neg-out_binary64`
51×	`distribute-lft-neg-out_binary64`
50×	`associate-/r*_binary64`
41×	`neg-mul-1_binary64`
39×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
38×	`*-commutative_binary64`
37×	`neg-sub0_binary64`
34×	`associate--r+_binary64`
33×	`distribute-neg-frac_binary64`
30×	`distribute-neg-in_binary64` `associate-/l/_binary64`
28×	`associate-+l-_binary64`
26×	`associate-*l/_binary64`
25×	`mul0-lft_binary64`
22×	`mul0-rgt_binary64`
20×	`+-commutative_binary64`
16×	`associate-+l+_binary64`
15×	`+-lft-identity_binary64` `associate-+r+_binary64`
14×	`sub0-neg_binary64`
13×	`remove-double-neg_binary64`
12×	`distribute-rgt-out--_binary64` `associate-+r-_binary64`
11×	`distribute-frac-neg_binary64` `associate-*r/_binary64`
10×	`associate--l+_binary64`
9×	`-rgt-identity_binary64` `-lft-identity_binary64`
7×	`div0_binary64` `distribute-rgt-out_binary64`
5×	`associate--r-_binary64`
4×	`/-rgt-identity_binary64` `associate--l-_binary64`
3×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	29	13
3	67	13
4	125	13
5	201	13
6	313	13
7	504	13
8	789	13
9	843	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

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

3.7b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite72.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 828 to 219 computations (73.6% saved)

series139.0ms (2.7%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

72.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
51.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 839 to 639 computations (23.8% saved)

simplify109.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

544×	`div-sub_binary64`
475×	`associate-l_binary64`
419×	`distribute-rgt-in_binary64`
402×	`distribute-lft-in_binary64`
388×	`associate-r_binary64`
331×	`associate-*r/_binary64`
313×	`associate-*l/_binary64`
227×	`associate-/l*_binary64`
106×	`distribute-neg-frac_binary64`
96×	`unsub-neg_binary64`
95×	`*-lft-identity_binary64`
94×	`times-frac_binary64` `neg-sub0_binary64`
92×	`exp-prod_binary64`
91×	`*-rgt-identity_binary64`
81×	`sub-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
72×	`associate-/r/_binary64`
69×	`*-commutative_binary64`
64×	`neg-mul-1_binary64`
60×	`associate-/l/_binary64`
55×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
47×	`exp-sum_binary64`
45×	`cube-prod_binary64`
43×	`sqr-pow_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`exp-diff_binary64`
39×	`distribute-lft-neg-in_binary64`
36×	`unswap-sqr_binary64`
34×	`log-prod_binary64`
31×	`+-commutative_binary64`
27×	`distribute-rgt-neg-out_binary64`
23×	`log-div_binary64` `distribute-neg-in_binary64`
21×	`cube-div_binary64`
19×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
16×	`distribute-rgt-out_binary64`
15×	`unpow3_binary64`
12×	`swap-sqr_binary64`
11×	`remove-double-neg_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`cube-unmult_binary64`
8×	`cube-mult_binary64`
6×	`cube-neg_binary64`
5×	`sqr-neg_binary64` `difference-of-squares_binary64`
4×	`pow-sqr_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
3×	`log-rec_binary64` `div0_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

91 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1324
1	359	1171
2	1184	1171
3	4128	1171
4	4671	1171
5	5762	1171

prune38.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Error

0.0b

Counts

69 → 7

Compiler

Compiled 611 to 211 computations (65.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
2.9b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
4.1b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

rewrite215.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

116×	`cbrt-div_binary64`
84×	`frac-times_binary64`
58×	`flip3--_binary64` `flip--_binary64`
37×	`associate-*r/_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64` `associate-*l/_binary64`
21×	`*-un-lft-identity_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-prod_binary64`
15×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64`
14×	`associate-l_binary64`
11×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`*-commutative_binary64` `pow1/3_binary64`
1×	`div-inv_binary64`

Counts

4 → 152

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
11.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 5058 to 1017 computations (79.9% saved)

series223.0ms (4.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

84.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
61.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
28.0ms	(cbrt.f64 (-.f64 y x))
26.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2401 to 1654 computations (31.1% saved)

simplify233.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-*l/_binary64`
470×	`associate-*r/_binary64`
438×	`associate-/l*_binary64`
393×	`associate-r_binary64`
376×	`associate-l_binary64`
216×	`*-commutative_binary64`
171×	`distribute-lft-in_binary64`
170×	`distribute-rgt-in_binary64`
115×	`log-prod_binary64`
114×	`log-div_binary64`
97×	`exp-prod_binary64`
92×	`associate-/r*_binary64`
72×	`unswap-sqr_binary64`
68×	`times-frac_binary64`
59×	`associate-/r/_binary64`
52×	`sqr-pow_binary64`
48×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-neg-in_binary64`
43×	`distribute-lft-neg-in_binary64`
41×	`sub-neg_binary64`
27×	`neg-sub0_binary64`
23×	`+-commutative_binary64`
20×	`neg-mul-1_binary64`
19×	`*-rgt-identity_binary64`
18×	`unpow3_binary64` `cube-prod_binary64` `swap-sqr_binary64`
16×	`distribute-neg-frac_binary64`
15×	`*-lft-identity_binary64`
14×	`associate-/l/_binary64`
13×	`cube-unmult_binary64`
12×	`associate-+r+_binary64`
11×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
9×	`log-pow_binary64` `exp-sum_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64`
8×	`pow-plus_binary64` `mul-1-neg_binary64`
7×	`cube-div_binary64` `distribute-rgt-out_binary64`
6×	`log-rec_binary64` `unpow1/3_binary64`
5×	`rem-3cbrt-lft_binary64` `pow-sqr_binary64` `distribute-neg-in_binary64`
4×	`rem-sqrt-square_binary64` `associate-+r-_binary64`
3×	`cube-mult_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1/2_binary64` `exp-to-pow_binary64` `exp-diff_binary64` `rem-3cbrt-rft_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

200 → 152

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	5835
1	722	4894
2	1799	4771
3	4748	4765
4	4955	4765
5	4976	4765

prune80.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	152	7	159

Error

0.0b

Counts

159 → 7

Compiler

Compiled 2177 to 613 computations (71.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
1.2b	(*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t))
4.1b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t)))

rewrite180.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
30×	`add-exp-log_binary64`
29×	`associate-r_binary64`
28×	`cbrt-div_binary64`
26×	`cbrt-prod_binary64` `times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`add-cbrt-cube_binary64`
18×	`pow1_binary64`
16×	`frac-times_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
14×	`flip3--_binary64` `flip--_binary64`
12×	`associate-*l/_binary64`
9×	`pow-prod-down_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64`
2×	`*-commutative_binary64` `pow1/3_binary64`
1×	`div-inv_binary64`

Counts

4 → 121

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t)))
12.0ms	(*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 3415 to 636 computations (81.4% saved)

series224.0ms (4.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

83.0ms	(*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t))
62.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 z (/.f64 (cbrt.f64 (-.f64 y x)) t)))
29.0ms	(cbrt.f64 (-.f64 y x))
26.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 2420 to 1665 computations (31.2% saved)

simplify144.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/l*_binary64`
478×	`associate-*l/_binary64`
331×	`associate-r_binary64`
307×	`associate-l_binary64`
239×	`times-frac_binary64`
178×	`*-commutative_binary64`
147×	`associate-/r*_binary64`
128×	`associate-/l/_binary64`
116×	`log-prod_binary64`
113×	`distribute-lft-in_binary64`
110×	`distribute-rgt-in_binary64`
97×	`associate-/r/_binary64`
91×	`log-div_binary64`
81×	`associate-*r/_binary64`
61×	`unswap-sqr_binary64`
56×	`cancel-sign-sub-inv_binary64`
52×	`sqr-pow_binary64`
50×	`distribute-rgt-neg-in_binary64`
46×	`distribute-lft-neg-in_binary64`
43×	`sub-neg_binary64`
42×	`exp-prod_binary64` `*-rgt-identity_binary64`
35×	`*-lft-identity_binary64`
34×	`swap-sqr_binary64`
27×	`+-commutative_binary64`
26×	`neg-sub0_binary64`
23×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
19×	`neg-mul-1_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
13×	`div-sub_binary64`
12×	`/-rgt-identity_binary64`
11×	`associate-+r+_binary64`
10×	`cube-div_binary64`
9×	`associate-+l+_binary64`
8×	`cube-unmult_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64`
7×	`exp-sum_binary64`
6×	`log-pow_binary64` `log-rec_binary64` `unpow1/3_binary64`
5×	`pow-sqr_binary64`
4×	`pow-plus_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
2×	`unsub-neg_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

169 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3498
1	598	2634
2	1931	2625
3	4863	2625
4	4989	2625

prune68.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Error

0.0b

Counts

127 → 7

Compiler

Compiled 1744 to 505 computations (71% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
0.0b	(/.f64 (-.f64 y x) t)
5.2b	(*.f64 z (/.f64 (-.f64 y x) t))

rewrite106.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
3×	`associate-l_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

10.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
6.0ms	(/.f64 (-.f64 y x) t)
4.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))

Compiler

Compiled 1369 to 344 computations (74.9% saved)

series169.0ms (3.2%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

70.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
51.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
33.0ms	(/.f64 (-.f64 y x) t)

Compiler

Compiled 1124 to 863 computations (23.2% saved)

simplify127.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

452×	`distribute-rgt-in_binary64`
440×	`distribute-lft-in_binary64`
368×	`associate-*l/_binary64`
363×	`associate-*r/_binary64`
267×	`associate-/l*_binary64`
254×	`div-sub_binary64`
161×	`times-frac_binary64`
109×	`associate-/l/_binary64`
95×	`associate-l_binary64`
86×	`associate-/r*_binary64`
84×	`associate-/r/_binary64`
77×	`associate-r_binary64`
75×	`*-commutative_binary64`
63×	`log-div_binary64`
61×	`exp-prod_binary64`
54×	`distribute-rgt-neg-in_binary64`
53×	`sub-neg_binary64`
50×	`cancel-sign-sub-inv_binary64`
48×	`distribute-neg-frac_binary64`
42×	`cube-prod_binary64`
40×	`distribute-lft-neg-out_binary64`
38×	`log-prod_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
35×	`exp-sum_binary64`
31×	`+-commutative_binary64`
30×	`cube-div_binary64` `neg-mul-1_binary64`
27×	`distribute-rgt-neg-out_binary64`
26×	`distribute-neg-in_binary64`
24×	`*-rgt-identity_binary64`
22×	`*-lft-identity_binary64`
20×	`sqr-pow_binary64`
17×	`distribute-rgt-out_binary64`
15×	`exp-diff_binary64`
12×	`/-rgt-identity_binary64`
10×	`mul-1-neg_binary64`
9×	`log-rec_binary64` `unpow3_binary64` `distribute-rgt-out--_binary64`
8×	`unswap-sqr_binary64`
7×	`cube-mult_binary64` `sqr-neg_binary64`
6×	`distribute-lft-out_binary64`
5×	`cube-neg_binary64` `swap-sqr_binary64`
4×	`associate-+l+_binary64`
3×	`cube-unmult_binary64` `unsub-neg_binary64` `remove-double-neg_binary64` `distribute-lft-out--_binary64`
2×	`associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `associate--r-_binary64` `associate--r+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

144 → 81

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	160	1883
1	411	1752
2	1260	1752
3	4253	1752
4	4993	1752
5	4994	1752

prune38.0ms (0.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	79	9	88

Error

0.0b

Counts

88 → 9

Compiler

Compiled 531 to 149 computations (71.9% saved)

regimes1.0s (19.3%)

Accuracy

Total 1.7b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 14441 to 8969 computations (37.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	20	43
2	25	43
3	27	43
4	28	43
5	28	43

end1.0ms (0%)

Compiler: Compiled 27 to 14 computations (48.1% saved)

sample932.0ms (17.9%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
66.0ms	2033×	body	128	invalid

Compiler

Compiled 238 to 153 computations (35.7% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	29	13
3	67	13
4	125	13
5	201	13
6	313	13
7	504	13
8	789	13
9	843	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	29	13
3	67	13
4	125	13
5	201	13
6	313	13
7	504	13
8	789	13
9	843	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze986.0ms (18.9%)

sample23.0ms (0.4%)

simplify61.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite72.0ms (1.4%)

series139.0ms (2.7%)

simplify109.0ms (2.1%)

prune38.0ms (0.7%)

localize14.0ms (0.3%)

rewrite215.0ms (4.1%)

series223.0ms (4.3%)

simplify233.0ms (4.5%)

prune80.0ms (1.5%)

localize12.0ms (0.2%)

rewrite180.0ms (3.4%)

series224.0ms (4.3%)

simplify144.0ms (2.8%)

prune68.0ms (1.3%)

localize7.0ms (0.1%)

rewrite106.0ms (2%)

series169.0ms (3.2%)

simplify127.0ms (2.4%)

prune38.0ms (0.7%)

regimes1.0s (19.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample932.0ms (17.9%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	29	13
3	67	13
4	125	13
5	201	13
6	313	13
7	504	13
8	789	13
9	843	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13