Details

analyze241.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Rules

832×	`cube-prod_binary64`
485×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
422×	`swap-sqr_binary64`
365×	`times-frac_binary64`
318×	`cube-div_binary64`
316×	`associate-/l*_binary64`
266×	`*-commutative_binary64`
246×	`associate-/l/_binary64`
236×	`associate-/r*_binary64`
208×	`associate-/r/_binary64`
195×	`unpow3_binary64` `cube-mult_binary64`
163×	`distribute-rgt-out_binary64`
141×	`sqr-pow_binary64`
80×	`associate-*l/_binary64`
77×	`*-lft-identity_binary64`
73×	`*-rgt-identity_binary64`
56×	`unswap-sqr_binary64`
44×	`associate-l_binary64`
40×	`associate-r_binary64`
28×	`distribute-rgt1-in_binary64`
26×	`+-commutative_binary64`
24×	`associate-*r/_binary64`
16×	`pow-sqr_binary64`
15×	`distribute-lft1-in_binary64`
14×	`distribute-lft-out_binary64`
13×	`/-rgt-identity_binary64`
12×	`remove-double-div_binary64`
6×	`lft-mult-inverse_binary64`
3×	`*-inverses_binary64`
2×	`cube-unmult_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

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)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify106.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

985×	`distribute-rgt-in_binary64`
960×	`distribute-lft-in_binary64`
653×	`associate-/l*_binary64`
602×	`cube-prod_binary64`
535×	`associate-/l/_binary64`
428×	`associate-/r*_binary64`
406×	`unswap-sqr_binary64`
398×	`times-frac_binary64`
368×	`associate-*l/_binary64`
318×	`associate-/r/_binary64`
240×	`cube-div_binary64`
159×	`*-commutative_binary64`
144×	`distribute-rgt-out_binary64`
126×	`unpow3_binary64`
124×	`cube-mult_binary64`
63×	`swap-sqr_binary64`
56×	`sqr-pow_binary64`
54×	`-lft-identity_binary64` `associate-l*_binary64`
42×	`*-rgt-identity_binary64`
38×	`associate-r_binary64`
28×	`associate-*r/_binary64`
25×	`pow-sqr_binary64`
23×	`+-commutative_binary64`
22×	`distribute-rgt1-in_binary64`
20×	`distribute-lft-out_binary64`
10×	`remove-double-div_binary64`
9×	`/-rgt-identity_binary64`
6×	`lft-mult-inverse_binary64`
5×	`distribute-lft1-in_binary64`
4×	`cube-unmult_binary64` `*-inverses_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `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` `unpow1/2_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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

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

prune1.0ms (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

9.1b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) 1)
0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
8.6b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite98.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `add-log-exp_binary64`
4×	`times-frac_binary64` `distribute-lft-out_binary64` `flip3-+_binary64` `associate-r/_binary64` `flip-+_binary64` `associate-/r_binary64` `associate-r_binary64`
3×	`associate-l_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

12.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
9.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
6.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 1090 to 636 computations (41.7% saved)

series92.0ms (2.3%)

Error

0.0b

Counts

3 → 40

Calls

3 calls:

33.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
23.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
18.0ms	(+.f64 (/.f64 x y) 1)

Compiler

Compiled 837 to 656 computations (21.6% saved)

simplify130.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary64`
347×	`associate-l_binary64`
318×	`distribute-rgt-in_binary64`
311×	`associate-*l/_binary64`
280×	`distribute-lft-in_binary64`
273×	`associate-r_binary64`
257×	`cancel-sign-sub-inv_binary64`
241×	`associate-/l/_binary64`
234×	`associate-/r*_binary64`
206×	`associate-*r/_binary64`
182×	`sub-neg_binary64`
174×	`associate-/r/_binary64`
164×	`div-sub_binary64`
104×	`unswap-sqr_binary64`
76×	`unsub-neg_binary64`
72×	`distribute-rgt-neg-in_binary64`
71×	`cube-div_binary64`
67×	`log-div_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
61×	`distribute-neg-frac_binary64`
59×	`distribute-lft-neg-in_binary64`
58×	`sqr-pow_binary64`
56×	`cube-prod_binary64`
50×	`*-rgt-identity_binary64`
49×	`log-prod_binary64` `exp-prod_binary64` `*-lft-identity_binary64`
46×	`distribute-rgt-out--_binary64`
44×	`times-frac_binary64`
40×	`+-commutative_binary64`
38×	`*-commutative_binary64`
37×	`associate--l+_binary64`
36×	`remove-double-div_binary64`
33×	`distribute-neg-in_binary64`
29×	`/-rgt-identity_binary64`
27×	`unpow3_binary64`
25×	`swap-sqr_binary64`
24×	`distribute-rgt-out_binary64`
23×	`associate-+l+_binary64`
21×	`cube-mult_binary64`
20×	`pow-sqr_binary64` `associate--r+_binary64`
17×	`rem-sqrt-square_binary64`
16×	`log-rec_binary64`
15×	`distribute-rgt1-in_binary64`
13×	`pow-plus_binary64` `associate-+r+_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sum_binary64` `fabs-mul_binary64`
6×	`unpow1/2_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
5×	`remove-double-neg_binary64` `div0_binary64`
4×	`log-pow_binary64` `distribute-neg-out_binary64`
3×	`fabs-sqr_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_binary64` `associate-+l-_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` `unpow1/3_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

102 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1491
1	342	1330
2	1243	1295
3	3990	1295
4	4568	1295
5	4883	1295
6	5000	1295

prune46.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Error

0.0b

Counts

65 → 6

Compiler

Compiled 735 to 381 computations (48.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1)))
0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
8.6b	(/.f64 (.f64 x (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1))) (+.f64 x 1))
9.3b	(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1))

rewrite338.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

251×	`add-sqr-sqrt_binary64`
204×	`times-frac_binary64`
147×	`*-un-lft-identity_binary64`
94×	`difference-of-squares_binary64`
79×	`associate-r_binary64`
70×	`add-cube-cbrt_binary64`
47×	`difference-of-sqr-1_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-l_binary64`
14×	`associate-/r*_binary64`
13×	`pow1_binary64` `distribute-lft-out--_binary64` `swap-sqr_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64`
8×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`div-inv_binary64` `associate-/l*_binary64`
6×	`associate-/r/_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-*r/_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-lft-out_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`div-sub_binary64` `flip3-+_binary64` `flip-+_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `frac-times_binary64` `pow-sqr_binary64` `associate-*l/_binary64`

Counts

4 → 273

Calls

4 calls:

35.0ms	(.f64 x (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1)))
22.0ms	(/.f64 (.f64 x (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1))) (+.f64 x 1))
18.0ms	(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1))
12.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 7207 to 3249 computations (54.9% saved)

series169.0ms (4.2%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

52.0ms	(/.f64 (.f64 x (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1))) (+.f64 x 1))
45.0ms	(.f64 x (/.f64 (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1)))
36.0ms	(/.f64 (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (-.f64 (/.f64 x y) 1))
23.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

Compiler

Compiled 1307 to 1027 computations (21.4% saved)

simplify287.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

347×	`associate-/l*_binary64`
280×	`associate-*l/_binary64`
272×	`associate-*r/_binary64`
235×	`associate-l_binary64`
215×	`associate-r_binary64`
158×	`associate-/l/_binary64`
155×	`log-div_binary64`
153×	`div-sub_binary64`
144×	`log-prod_binary64`
135×	`unswap-sqr_binary64`
134×	`times-frac_binary64`
129×	`sub-neg_binary64`
128×	`*-commutative_binary64`
116×	`cube-div_binary64`
89×	`associate-/r*_binary64`
83×	`cancel-sign-sub-inv_binary64`
76×	`*-rgt-identity_binary64`
75×	`exp-prod_binary64`
59×	`distribute-neg-frac_binary64`
58×	`+-commutative_binary64`
56×	`swap-sqr_binary64`
53×	`*-lft-identity_binary64`
52×	`associate-/r/_binary64`
50×	`unpow3_binary64`
47×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64`
45×	`distribute-lft-in_binary64`
43×	`cube-mult_binary64` `sqr-pow_binary64`
41×	`cube-prod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64`
39×	`associate--l+_binary64`
35×	`neg-mul-1_binary64` `neg-sub0_binary64`
34×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
30×	`associate-+l+_binary64`
27×	`unsub-neg_binary64`
22×	`associate-+r+_binary64`
21×	`associate--r+_binary64`
20×	`log-pow_binary64` `log-rec_binary64`
17×	`pow-plus_binary64` `fabs-mul_binary64`
15×	`cube-unmult_binary64`
14×	`fabs-div_binary64`
13×	`distribute-rgt-out--_binary64`
11×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64`
8×	`exp-diff_binary64`
6×	`unpow1/2_binary64` `pow-sqr_binary64`
5×	`exp-sum_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64`
4×	`unpow2_binary64` `difference-of-sqr--1_binary64`
3×	`unpow1_binary64` `fabs-sqr_binary64` `*-inverses_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate-+r-_binary64`
2×	`rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `remove-double-div_binary64` `difference-of-squares_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` `unpow1/3_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` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

319 → 286

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	8330
1	855	6862
2	3465	6650
3	4522	6372
4	4973	6372
5	4970	6372

prune174.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	287	5	292

Error

Counts

292 → 5

Compiler

Compiled 4533 to 2354 computations (48.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (/.f64 x y))
0.1b	(/.f64 x (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))))
0.1b	(/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))

rewrite172.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

158×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
72×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
43×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
6×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

3 → 158

Calls

3 calls:

13.0ms	(/.f64 x (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))))
11.0ms	(/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))
6.0ms	(+.f64 1 (/.f64 x y))

Compiler

Compiled 2868 to 1701 computations (40.7% saved)

series105.0ms (2.6%)

Error

Counts

3 → 46

Calls

3 calls:

33.0ms	(/.f64 x (/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y))))
32.0ms	(/.f64 (+.f64 1 x) (+.f64 1 (/.f64 x y)))
18.0ms	(+.f64 1 (/.f64 x y))

Compiler

Compiled 1280 to 945 computations (26.2% saved)

simplify251.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/r/_binary64`
522×	`associate-*l/_binary64`
444×	`associate-/r*_binary64`
313×	`associate-*r/_binary64`
282×	`distribute-rgt-in_binary64`
224×	`distribute-lft-in_binary64`
187×	`sub-neg_binary64`
182×	`cancel-sign-sub-inv_binary64`
129×	`associate-/l*_binary64`
124×	`associate-/l/_binary64`
107×	`unsub-neg_binary64`
89×	`*-commutative_binary64`
78×	`+-commutative_binary64`
76×	`associate--l+_binary64`
71×	`neg-mul-1_binary64` `neg-sub0_binary64`
68×	`times-frac_binary64`
67×	`*-rgt-identity_binary64` `unswap-sqr_binary64`
63×	`div-sub_binary64`
62×	`*-lft-identity_binary64`
57×	`cube-div_binary64`
56×	`cube-prod_binary64`
55×	`log-div_binary64`
54×	`associate-+l+_binary64`
52×	`distribute-neg-in_binary64`
51×	`log-prod_binary64`
50×	`associate--r+_binary64`
47×	`sqr-pow_binary64`
44×	`/-rgt-identity_binary64`
41×	`distribute-rgt-neg-in_binary64`
38×	`associate-r_binary64`
37×	`distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
36×	`associate-+r+_binary64`
34×	`distribute-lft-neg-in_binary64`
33×	`associate-l_binary64`
25×	`exp-prod_binary64`
23×	`unpow3_binary64`
19×	`distribute-rgt-out--_binary64`
18×	`cube-mult_binary64`
10×	`log-rec_binary64` `swap-sqr_binary64`
8×	`exp-sum_binary64` `cube-unmult_binary64` `distribute-rgt1-in_binary64`
7×	`distribute-lft-neg-out_binary64`
5×	`unpow1/2_binary64` `pow-plus_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
4×	`log-pow_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
3×	`distribute-lft-out--_binary64` `distribute-lft-out_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_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` `unpow1/3_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

204 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	5044
1	630	4789
2	2190	4732
3	4471	4729
4	4877	4729
5	4996	4729
6	4958	4729

prune87.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	136	5	141

Error

Counts

141 → 5

Compiler

Compiled 1658 to 923 computations (44.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 1 (/.f64 x y))))
0.0b	(sqrt.f64 (+.f64 1 (/.f64 x y)))
0.0b	(sqrt.f64 (+.f64 1 (/.f64 x y)))
0.1b	(.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 1 (/.f64 x y)))))

rewrite199.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`sqrt-div_binary64` `*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
25×	`associate-l_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `frac-times_binary64` `sqrt-prod_binary64`
17×	`flip3-+_binary64` `flip-+_binary64`
14×	`times-frac_binary64`
13×	`pow1_binary64` `associate-*r/_binary64`
8×	`associate-r_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64`
6×	`associate-*l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `unswap-sqr_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-/r/_binary64`
1×	`div-inv_binary64`

Counts

4 → 120

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 1 (/.f64 x y)))))
17.0ms	(*.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 1 (/.f64 x y))))
6.0ms	(sqrt.f64 (+.f64 1 (/.f64 x y)))
6.0ms	(sqrt.f64 (+.f64 1 (/.f64 x y)))

Compiler

Compiled 3322 to 1972 computations (40.6% saved)

series151.0ms (3.8%)

Error

Counts

4 → 61

Calls

4 calls:

39.0ms	(*.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 1 (/.f64 x y))))
33.0ms	(.f64 (sqrt.f64 (+.f64 1 (/.f64 x y))) (.f64 (/.f64 x (+.f64 1 x)) (sqrt.f64 (+.f64 1 (/.f64 x y)))))
25.0ms	(sqrt.f64 (+.f64 1 (/.f64 x y)))
23.0ms	(sqrt.f64 (+.f64 1 (/.f64 x y)))

Compiler

Compiled 2335 to 1767 computations (24.3% saved)

simplify189.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/l*_binary64`
474×	`associate-*l/_binary64`
399×	`associate-/r*_binary64`
261×	`distribute-rgt-in_binary64`
232×	`distribute-lft-in_binary64`
169×	`associate-r_binary64`
148×	`associate-l_binary64`
140×	`sub-neg_binary64`
130×	`cancel-sign-sub-inv_binary64`
124×	`*-commutative_binary64`
93×	`+-commutative_binary64`
73×	`associate-/r/_binary64`
72×	`associate-/l/_binary64`
68×	`associate--l+_binary64`
59×	`associate-+l+_binary64`
58×	`times-frac_binary64` `associate-*r/_binary64`
52×	`associate-+r+_binary64`
51×	`log-div_binary64`
46×	`distribute-rgt-neg-in_binary64`
42×	`distribute-neg-in_binary64`
41×	`distribute-neg-frac_binary64`
38×	`distribute-lft-neg-in_binary64`
33×	`associate--r+_binary64`
32×	`log-prod_binary64` `unsub-neg_binary64`
30×	`sqr-pow_binary64`
29×	`neg-mul-1_binary64` `neg-sub0_binary64` `unswap-sqr_binary64`
25×	`swap-sqr_binary64`
24×	`distribute-rgt-out_binary64`
20×	`*-lft-identity_binary64`
17×	`*-rgt-identity_binary64`
14×	`cube-prod_binary64`
12×	`exp-prod_binary64` `distribute-rgt1-in_binary64`
11×	`unpow3_binary64`
9×	`log-rec_binary64` `cube-div_binary64`
8×	`distribute-rgt-out--_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `associate-+r-_binary64`
4×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
3×	`log-pow_binary64` `cube-mult_binary64` `pow-sqr_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `div-sub_binary64` `difference-of-sqr--1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `count-2_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` `unpow1/3_binary64` `pow-plus_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-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

181 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	4412
1	621	3963
2	1902	3800
3	4939	3800
4	4996	3800
5	4977	3800

prune121.0ms (3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	145	5	150

Error

Counts

150 → 5

Compiler

Compiled 2626 to 1509 computations (42.5% saved)

regimes381.0ms (9.5%)

Accuracy

Total 0.0b remaining (67%)

Threshold costs 0.0b (67%)

Compiler

Compiled 4802 to 3532 computations (26.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64` `*-commutative_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` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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	9	16
1	14	16
2	13	16

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample616.0ms (15.4%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
17.0ms	263×	body	128	invalid

Compiler

Compiled 111 to 87 computations (21.6% saved)

Details

analyze241.0ms (6%)

sample17.0ms (0.4%)

simplify106.0ms (2.6%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite98.0ms (2.4%)

series92.0ms (2.3%)

simplify130.0ms (3.3%)

prune46.0ms (1.1%)

localize10.0ms (0.2%)

rewrite338.0ms (8.4%)

series169.0ms (4.2%)

simplify287.0ms (7.2%)

prune174.0ms (4.3%)

localize7.0ms (0.2%)

rewrite172.0ms (4.3%)

series105.0ms (2.6%)

simplify251.0ms (6.3%)

prune87.0ms (2.2%)

localize9.0ms (0.2%)

rewrite199.0ms (5%)

series151.0ms (3.8%)

simplify189.0ms (4.7%)

prune121.0ms (3%)

regimes381.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample616.0ms (15.4%)

Profiling