Details

analyze434.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

682×	`div-sub_binary64`
564×	`times-frac_binary64`
462×	`associate-/r*_binary64`
420×	`associate-/l/_binary64`
320×	`cancel-sign-sub-inv_binary64`
308×	`associate-/r/_binary64`
306×	`distribute-rgt-neg-in_binary64`
234×	`associate-/l*_binary64`
214×	`distribute-lft-neg-in_binary64`
212×	`distribute-rgt-in_binary64`
162×	`distribute-lft-in_binary64`
150×	`associate-l_binary64` `*-commutative_binary64`
136×	`associate-r_binary64`
112×	`distribute-lft-neg-out_binary64`
104×	`sub-neg_binary64`
100×	`distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
98×	`neg-sub0_binary64`
96×	`neg-mul-1_binary64`
94×	`unsub-neg_binary64`
66×	`distribute-neg-in_binary64`
40×	`associate--r+_binary64`
36×	`*-rgt-identity_binary64`
32×	`sqr-pow_binary64` `unswap-sqr_binary64`
28×	`-lft-identity_binary64` `associate-l/_binary64`
24×	`sub0-neg_binary64`
22×	`associate-+l-_binary64`
18×	`distribute-rgt-out--_binary64` `+-commutative_binary64`
16×	`pow-sqr_binary64`
14×	`cube-prod_binary64` `remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`swap-sqr_binary64`
10×	`--rgt-identity_binary64` `associate-*r/_binary64`
8×	`exp-diff_binary64` `exp-sum_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
6×	`associate--l+_binary64` `associate-+l+_binary64`
4×	`pow-plus_binary64` `exp-prod_binary64` `rec-exp_binary64` `+-lft-identity_binary64` `div0_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64`
2×	`unpow3_binary64` `exp-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`exp-0_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` `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` `prod-exp_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_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` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	38	36
2	89	36
3	197	36
4	327	36
5	580	36
6	1044	36
7	1830	36
8	4024	36
9	4887	36
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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample119.0ms (1.4%)

Algorithm

1×

intervals

Results

55.0ms	146×	body	1024	valid
14.0ms	63×	body	1024	invalid
12.0ms	57×	body	512	valid
7.0ms	12×	body	2048	valid
6.0ms	35×	body	512	invalid
3.0ms	25×	body	256	valid
2.0ms	17×	body	256	invalid
2.0ms	27×	body	128	invalid
1.0ms	16×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64`
547×	`div-sub_binary64`
534×	`unswap-sqr_binary64`
468×	`sub-neg_binary64`
462×	`times-frac_binary64`
367×	`associate-/r*_binary64`
357×	`distribute-neg-frac_binary64`
321×	`cancel-sign-sub-inv_binary64`
252×	`distribute-rgt-neg-in_binary64`
229×	`neg-mul-1_binary64`
226×	`neg-sub0_binary64`
223×	`associate-l_binary64`
204×	`associate-r_binary64`
189×	`associate-/l/_binary64`
181×	`distribute-lft-neg-in_binary64`
150×	`associate-/r/_binary64` `*-commutative_binary64`
148×	`distribute-rgt-neg-out_binary64`
130×	`difference-of-squares_binary64`
125×	`div0_binary64`
118×	`distribute-rgt-in_binary64`
111×	`associate-*l/_binary64`
109×	`unsub-neg_binary64`
92×	`distribute-lft-in_binary64`
84×	`remove-double-neg_binary64`
79×	`distribute-lft-neg-out_binary64`
71×	`sqr-pow_binary64`
58×	`distribute-frac-neg_binary64`
49×	`associate-*r/_binary64`
43×	`*-lft-identity_binary64`
40×	`distribute-neg-in_binary64`
33×	`*-rgt-identity_binary64` `pow-sqr_binary64`
32×	`cube-prod_binary64`
27×	`mul0-rgt_binary64` `mul0-lft_binary64`
26×	`associate--r+_binary64`
22×	`/-rgt-identity_binary64`
16×	`mul-1-neg_binary64` `associate-+l-_binary64`
14×	`sub0-neg_binary64`
12×	`remove-double-div_binary64` `cancel-sign-sub_binary64`
11×	`exp-prod_binary64` `swap-sqr_binary64` `+-commutative_binary64`
10×	`pow-plus_binary64` `+-lft-identity_binary64`
9×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
8×	`unpow3_binary64` `exp-sum_binary64`
7×	`--rgt-identity_binary64`
5×	`exp-diff_binary64`
4×	`unpow2_binary64` `associate--l+_binary64`
3×	`exp-lft-sqr_binary64` `cube-mult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `associate-+l+_binary64`
2×	`exp-sqrt_binary64` `rec-exp_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `prod-exp_binary64` `exp-neg_binary64` `exp-1-e_binary64` `exp-0_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_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` `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` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	49	18
3	104	18
4	174	18
5	306	18
6	543	18
7	1241	18
8	3282	18
9	4150	18
10	4354	18
11	5340	18

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

57.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite102.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

57.0b

Rules

10×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`cancel-sign-sub-inv_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`sub-neg_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-*r/_binary64`
1×	`diff-log_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 873 to 289 computations (66.9% saved)

series61.0ms (0.7%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

34.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 596 to 451 computations (24.3% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64`
402×	`*-commutative_binary64`
333×	`exp-prod_binary64`
259×	`distribute-rgt-in_binary64`
252×	`unsub-neg_binary64`
206×	`distribute-lft-in_binary64`
204×	`sub-neg_binary64`
185×	`associate-l_binary64`
155×	`associate-r_binary64`
125×	`neg-sub0_binary64`
121×	`neg-mul-1_binary64`
110×	`associate-+r+_binary64`
94×	`cancel-sign-sub-inv_binary64`
87×	`distribute-rgt-neg-in_binary64`
86×	`associate--r+_binary64`
85×	`distribute-lft-neg-in_binary64`
83×	`associate-+l+_binary64`
74×	`+-commutative_binary64`
72×	`associate-+r-_binary64`
54×	`distribute-neg-in_binary64`
52×	`associate-+l-_binary64`
42×	`exp-sum_binary64`
36×	`sqr-pow_binary64`
34×	`distribute-rgt-neg-out_binary64`
33×	`distribute-lft-neg-out_binary64`
27×	`associate-/r*_binary64`
26×	`exp-diff_binary64`
25×	`cube-prod_binary64` `associate--l+_binary64`
23×	`associate-*l/_binary64`
22×	`distribute-rgt-out_binary64` `associate-*r/_binary64`
20×	`log-prod_binary64`
18×	`*-rgt-identity_binary64`
17×	`*-lft-identity_binary64` `distribute-lft-out_binary64`
15×	`unpow3_binary64` `unswap-sqr_binary64` `swap-sqr_binary64`
14×	`associate--l-_binary64`
13×	`associate-/l*_binary64`
11×	`exp-neg_binary64`
8×	`prod-exp_binary64` `div-sub_binary64`
7×	`unpow1/2_binary64` `cube-unmult_binary64` `distribute-rgt-out--_binary64`
5×	`cube-mult_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
4×	`cube-div_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
3×	`div-exp_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`rec-exp_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `distribute-neg-frac_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul0-lft_binary64` `lft-mult-inverse_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` `log-pow_binary64` `log-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_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` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

62 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1348
1	389	1165
2	1291	1131
3	3014	1131
4	4947	1131
5	5053	1131

prune28.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Error

0.1b

Counts

49 → 3

Compiler

Compiled 577 to 280 computations (51.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
0.1b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
0.2b	(*.f64 (pow.f64 im 3) 1/6)

rewrite199.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64`
25×	`associate-l_binary64`
18×	`add-exp-log_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`add-cbrt-cube_binary64` `associate-r_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1_binary64` `prod-exp_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cube-prod_binary64` `sqr-pow_binary64` `-commutative_binary64` `associate-r/_binary64`
3×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 102

Calls

4 calls:

7.0ms	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
7.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
6.0ms	(*.f64 (pow.f64 im 3) 1/6)
5.0ms	(*.f64 (pow.f64 im 5) 1/120)

Compiler

Compiled 3148 to 2134 computations (32.2% saved)

series155.0ms (1.9%)

Error

0.1b

Counts

4 → 26

Calls

4 calls:

62.0ms	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) 1/5040)))
47.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
13.0ms	(*.f64 (pow.f64 im 5) 1/120)
10.0ms	(*.f64 (pow.f64 im 3) 1/6)

Compiler

Compiled 1656 to 1278 computations (22.8% saved)

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

459×	`exp-prod_binary64`
419×	`distribute-rgt-in_binary64`
346×	`associate-l_binary64`
326×	`associate-r_binary64`
282×	`log-prod_binary64`
266×	`cancel-sign-sub-inv_binary64`
218×	`distribute-rgt-neg-in_binary64`
210×	`unswap-sqr_binary64`
186×	`distribute-lft-neg-in_binary64`
159×	`*-commutative_binary64`
138×	`distribute-lft-neg-out_binary64`
125×	`distribute-rgt-neg-out_binary64`
98×	`cube-prod_binary64`
77×	`sqr-pow_binary64`
62×	`swap-sqr_binary64`
58×	`distribute-lft-in_binary64`
54×	`unpow3_binary64`
52×	`sub-neg_binary64`
47×	`neg-sub0_binary64`
43×	`neg-mul-1_binary64`
34×	`-rgt-identity_binary64` `-lft-identity_binary64`
22×	`+-commutative_binary64`
20×	`cancel-sign-sub_binary64`
17×	`log-pow_binary64` `distribute-rgt-out--_binary64`
15×	`distribute-lft-out_binary64`
14×	`pow-plus_binary64` `distribute-rgt-out_binary64`
11×	`exp-diff_binary64` `exp-sum_binary64` `cube-unmult_binary64` `unsub-neg_binary64` `pow-sqr_binary64`
9×	`associate--r+_binary64`
8×	`cube-mult_binary64` `associate--l+_binary64`
7×	`rem-sqrt-square_binary64` `div-sub_binary64`
6×	`distribute-neg-out_binary64` `distribute-neg-in_binary64`
5×	`cube-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`unpow1/2_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
2×	`+-rgt-identity_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-frac-neg_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` `log-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `times-frac_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` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

128 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2155
1	537	1943
2	2037	1929
3	4500	1929
4	5159	1929

prune131.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	97	11	108

Error

0.0b

Counts

108 → 11

Compiler

Compiled 2739 to 1891 computations (31% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))

rewrite169.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 2700 to 1377 computations (49% saved)

series114.0ms (1.4%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

23.0ms	(cbrt.f64 (cos.f64 re))
21.0ms	(cbrt.f64 (cos.f64 re))
20.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
20.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 1688 to 1220 computations (27.7% saved)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

832×	`log-prod_binary64`
407×	`sqr-pow_binary64`
316×	`*-commutative_binary64`
296×	`associate-l_binary64`
233×	`cancel-sign-sub-inv_binary64`
203×	`associate-r_binary64`
191×	`distribute-rgt-out_binary64`
188×	`exp-prod_binary64`
164×	`distribute-rgt-neg-in_binary64`
160×	`log-pow_binary64`
159×	`cube-prod_binary64`
129×	`pow-sqr_binary64`
114×	`unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft-neg-in_binary64`
104×	`associate-/l*_binary64`
99×	`log-div_binary64`
88×	`sub-neg_binary64`
82×	`associate-+l+_binary64`
73×	`associate-+r+_binary64`
66×	`distribute-lft-out_binary64`
63×	`distribute-rgt-in_binary64`
61×	`+-commutative_binary64`
57×	`distribute-lft-in_binary64`
47×	`neg-mul-1_binary64`
45×	`pow-plus_binary64`
44×	`rem-sqrt-square_binary64` `neg-sub0_binary64`
41×	`times-frac_binary64`
37×	`associate-/r/_binary64`
35×	`associate-*r/_binary64`
33×	`*-lft-identity_binary64` `distribute-neg-in_binary64`
31×	`unpow3_binary64` `*-rgt-identity_binary64` `associate-/l/_binary64`
29×	`distribute-lft-neg-out_binary64` `count-2_binary64`
28×	`distribute-rgt-neg-out_binary64`
26×	`cube-mult_binary64`
24×	`associate-/r*_binary64`
19×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
18×	`associate-+l-_binary64`
17×	`cube-div_binary64`
15×	`cube-unmult_binary64`
14×	`remove-double-neg_binary64`
13×	`sub0-neg_binary64`
11×	`distribute-lft1-in_binary64`
10×	`unpow1/2_binary64` `associate--r+_binary64`
9×	`unsub-neg_binary64` `associate--r-_binary64`
8×	`unpow2_binary64` `associate-*l/_binary64`
7×	`--rgt-identity_binary64`
6×	`associate-+r-_binary64`
5×	`unpow1_binary64`
4×	`+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
3×	`associate--l-_binary64`
2×	`unpow1/3_binary64` `exp-sqrt_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64`
1×	`cos-neg_binary64` `log-rec_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_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` `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-cbrt_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` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

92 → 55

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	1027
1	117	949
2	344	927
3	1095	909
4	2068	797
5	3183	797
6	4782	797
7	5140	797

prune68.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	55	11	66

Error

0.0b

Counts

66 → 11

Compiler

Compiled 1428 to 914 computations (36% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
0.6b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.6b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.6b	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

rewrite193.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
4.0ms	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

Compiler

Compiled 4790 to 3495 computations (27% saved)

series188.0ms (2.3%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

46.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
33.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
32.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
29.0ms	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

Compiler

Compiled 3503 to 2889 computations (17.5% saved)

simplify155.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

405×	`unswap-sqr_binary64`
330×	`*-commutative_binary64`
210×	`unsub-neg_binary64`
201×	`div-sub_binary64`
191×	`times-frac_binary64`
184×	`cancel-sign-sub-inv_binary64`
175×	`neg-sub0_binary64`
172×	`neg-mul-1_binary64`
169×	`cube-prod_binary64`
164×	`sub-neg_binary64`
149×	`sqr-pow_binary64`
135×	`associate-r_binary64`
134×	`distribute-rgt-neg-in_binary64`
128×	`exp-prod_binary64`
122×	`associate-l_binary64`
114×	`distribute-lft-neg-in_binary64`
78×	`distribute-lft-neg-out_binary64`
76×	`distribute-rgt-neg-out_binary64`
74×	`associate-/l*_binary64`
73×	`associate-/r*_binary64`
68×	`exp-sum_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
54×	`log-prod_binary64`
53×	`exp-diff_binary64` `+-commutative_binary64`
50×	`remove-double-neg_binary64`
46×	`unpow3_binary64`
45×	`distribute-rgt-out_binary64`
39×	`distribute-lft-out_binary64`
37×	`associate-+l+_binary64`
33×	`associate-+r-_binary64` `associate-+r+_binary64`
30×	`associate-+l-_binary64`
29×	`cube-mult_binary64`
28×	`swap-sqr_binary64`
23×	`exp-to-pow_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
22×	`pow-plus_binary64`
21×	`+-rgt-identity_binary64`
18×	`unpow1/3_binary64` `associate-*l/_binary64`
17×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
16×	`cube-neg_binary64` `rem-sqrt-square_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`sqr-neg_binary64` `*-rgt-identity_binary64` `sub0-neg_binary64`
13×	`-lft-identity_binary64` `associate-/r/_binary64` `associate-r/_binary64`
12×	`prod-exp_binary64` `/-rgt-identity_binary64`
11×	`log-pow_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`exp-neg_binary64`
8×	`distribute-frac-neg_binary64` `associate--r-_binary64`
7×	`distribute-neg-out_binary64` `associate--l-_binary64`
6×	`log-div_binary64` `exp-lft-cube_binary64` `div0_binary64`
5×	`unpow2_binary64` `rem-exp-log_binary64` `cube-div_binary64` `distribute-neg-in_binary64`
4×	`unpow1/2_binary64` `--rgt-identity_binary64`
3×	`rem-3cbrt-lft_binary64` `distribute-rgt1-in_binary64`
2×	`log-rec_binary64` `unpow1_binary64` `cancel-sign-sub_binary64` `count-2_binary64` `associate--r+_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `+-lft-identity_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` `distribute-neg-frac_binary64` `associate-/l/_binary64`

Counts

113 → 95

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	189	3453
1	451	3212
2	1259	2921
3	3103	2817
4	4633	2555
5	4840	2555

prune129.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	94	12	106

Error

0.0b

Counts

106 → 12

Compiler

Compiled 3980 to 2896 computations (27.2% saved)

regimes1.3s (15.6%)

Accuracy

Total 0.7b remaining (94.4%)

Threshold costs 0.7b (94.4%)

Compiler

Compiled 23920 to 18503 computations (22.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-rgt-neg-in_binary64`
5×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`distribute-lft-neg-out_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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	38
1	34	38
2	47	38
3	59	38
4	84	38
5	93	38
6	99	38
7	101	38
8	99	38

end1.0ms (0%)

Compiler: Compiled 25 to 20 computations (20% saved)

sample4.2s (51.1%)

Algorithm

1×

intervals

Results

1.9s	4845×	body	1024	valid
439.0ms	1942×	body	1024	invalid
375.0ms	1702×	body	512	valid
224.0ms	395×	body	2048	valid
164.0ms	994×	body	512	invalid
96.0ms	701×	body	256	valid
66.0ms	535×	body	256	invalid
46.0ms	725×	body	128	invalid
23.0ms	357×	body	128	valid

Compiler

Compiled 513 to 407 computations (20.7% saved)

Details

analyze434.0ms (5.3%)

sample119.0ms (1.4%)

simplify88.0ms (1.1%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

rewrite102.0ms (1.2%)

series61.0ms (0.7%)

simplify99.0ms (1.2%)

prune28.0ms (0.3%)

localize17.0ms (0.2%)

rewrite199.0ms (2.4%)

series155.0ms (1.9%)

simplify110.0ms (1.3%)

prune131.0ms (1.6%)

localize23.0ms (0.3%)

rewrite169.0ms (2%)

series114.0ms (1.4%)

simplify115.0ms (1.4%)

prune68.0ms (0.8%)

localize30.0ms (0.4%)

rewrite193.0ms (2.3%)

series188.0ms (2.3%)

simplify155.0ms (1.9%)

prune129.0ms (1.6%)

regimes1.3s (15.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample4.2s (51.1%)

Profiling