Details

analyze745.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

610×	`sqr-pow_binary64`
410×	`associate-l_binary64`
402×	`pow-sqr_binary64`
400×	`associate-/l*_binary64`
362×	`*-commutative_binary64`
348×	`associate-/r*_binary64`
330×	`associate-r_binary64`
214×	`associate-/r/_binary64`
196×	`unswap-sqr_binary64` `associate-/l/_binary64`
192×	`cube-prod_binary64`
98×	`associate-*r/_binary64`
88×	`unpow3_binary64` `cube-mult_binary64`
84×	`div-sub_binary64`
76×	`associate-*l/_binary64`
40×	`neg-mul-1_binary64`
36×	`sub-neg_binary64`
32×	`*-lft-identity_binary64`
30×	`distribute-frac-neg_binary64`
28×	`pow-plus_binary64`
26×	`/-rgt-identity_binary64`
22×	`neg-sub0_binary64`
20×	`*-rgt-identity_binary64` `distribute-rgt-in_binary64`
18×	`rem-sqrt-square_binary64`
16×	`exp-prod_binary64`
12×	`unpow1/2_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `+-commutative_binary64`
10×	`unpow2_binary64` `unpow1_binary64`
8×	`cube-unmult_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
6×	`exp-diff_binary64` `exp-sum_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-lft-neg-in_binary64` `associate--l-_binary64`
4×	`rec-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`exp-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate--r+_binary64` `associate-+l-_binary64`
1×	`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` `log-rec_binary64` `log-div_binary64` `log-prod_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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_binary64` `times-frac_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_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	13	26
1	31	26
2	65	22
3	146	22
4	377	22
5	1232	22
6	2371	22
7	2418	22
8	2614	22
9	3036	22
10	3852	22
11	4997	22
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample424.0ms (2.8%)

Algorithm

1×

intervals

Results

332.0ms	181×	body	8192	exit
35.0ms	105×	body	1024	nan
14.0ms	256×	body	128	valid
8.0ms	48×	body	512	nan
4.0ms	32×	body	256	nan
0.0ms	9×	body	128	nan
0.0ms	6×	body	128	invalid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 17 to 17 computations (0% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
542×	`sqr-pow_binary64`
393×	`pow-sqr_binary64`
205×	`associate-l_binary64`
200×	`associate-/l*_binary64`
181×	`*-commutative_binary64`
174×	`cube-prod_binary64` `associate-/r*_binary64`
167×	`unpow3_binary64`
165×	`associate-r_binary64`
107×	`associate-/r/_binary64`
98×	`associate-/l/_binary64`
85×	`cube-mult_binary64`
52×	`div-sub_binary64`
49×	`associate-*r/_binary64`
44×	`rem-sqrt-square_binary64`
38×	`associate-*l/_binary64`
29×	`neg-mul-1_binary64`
24×	`sub-neg_binary64`
23×	`distribute-frac-neg_binary64`
22×	`/-rgt-identity_binary64`
18×	`pow-plus_binary64`
17×	`distribute-rgt-in_binary64`
16×	`neg-sub0_binary64` `*-lft-identity_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
10×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
8×	`exp-prod_binary64`
7×	`unpow1/2_binary64` `+-rgt-identity_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`
6×	`cube-unmult_binary64`
5×	`unpow2_binary64` `unpow1_binary64`
4×	`remove-double-neg_binary64` `associate--l-_binary64`
3×	`exp-diff_binary64` `exp-sum_binary64` `remove-double-div_binary64`
2×	`rec-exp_binary64` `distribute-neg-frac_binary64` `associate--r+_binary64` `associate-+l-_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `sub0-neg_binary64` `--rgt-identity_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` `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` `prod-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	37	11
3	79	11
4	198	11
5	633	11
6	2299	11
7	2294	11
8	2404	11
9	2625	11
10	3051	11
11	3758	11
12	4990	11
13	4896	11

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 15 to 12 computations (20% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.1b	(pow.f64 l (exp.f64 w))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `prod-exp_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `associate-*l/_binary64`
1×	`pow-pow_binary64` `cbrt-unprod_binary64` `neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 612 to 148 computations (75.8% saved)

series87.0ms (0.6%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

43.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
32.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 996 to 591 computations (40.7% saved)

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-+l+_binary64`
397×	`associate-+r+_binary64`
194×	`associate--l+_binary64`
177×	`distribute-rgt-out_binary64`
175×	`associate-r_binary64`
174×	`unswap-sqr_binary64`
162×	`associate--r+_binary64`
155×	`associate-l_binary64`
133×	`cancel-sign-sub-inv_binary64`
119×	`exp-prod_binary64`
100×	`times-frac_binary64`
85×	`*-commutative_binary64`
71×	`sqr-pow_binary64` `associate-/l*_binary64`
69×	`log-prod_binary64`
67×	`distribute-rgt-in_binary64` `+-commutative_binary64`
62×	`associate-*l/_binary64`
61×	`sub-neg_binary64`
60×	`distribute-lft-in_binary64`
59×	`log-pow_binary64` `log-div_binary64`
42×	`distribute-lft-out_binary64`
37×	`distribute-neg-in_binary64`
36×	`distribute-rgt-neg-in_binary64`
33×	`associate-/r*_binary64`
32×	`associate-+l-_binary64`
31×	`associate-*r/_binary64` `associate-+r-_binary64`
30×	`distribute-lft-neg-in_binary64`
22×	`pow-sqr_binary64`
20×	`neg-sub0_binary64` `unsub-neg_binary64`
19×	`prod-exp_binary64`
16×	`neg-mul-1_binary64`
14×	`*-lft-identity_binary64`
13×	`*-rgt-identity_binary64` `distribute-rgt1-in_binary64`
11×	`log-rec_binary64` `unpow3_binary64` `cube-prod_binary64` `associate-/l/_binary64`
10×	`distribute-lft-neg-out_binary64`
9×	`exp-sum_binary64`
8×	`exp-diff_binary64` `exp-neg_binary64` `distribute-rgt-out--_binary64`
7×	`exp-to-pow_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
6×	`unpow1/2_binary64` `div-exp_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`
5×	`cube-unmult_binary64` `associate--r-_binary64`
4×	`pow-base-1_binary64` `sub0-neg_binary64` `count-2_binary64`
3×	`pow-plus_binary64` `unpow1_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
2×	`unpow2_binary64` `rec-exp_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `div-sub_binary64` `+-inverses_binary64` `distribute-frac-neg_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` `pow-base-0_binary64` `unpow1/3_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` `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-square-sqrt_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` `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`

Counts

62 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1175
1	359	1065
2	1338	996
3	4727	996
4	4970	996
5	4992	996
6	4971	996

prune37.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

0.0b

Counts

48 → 3

Compiler

Compiled 676 to 273 computations (59.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
0.0b	(*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.0b	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.1b	(pow.f64 l (exp.f64 w))

rewrite260.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

68×	`cbrt-div_binary64`
36×	`add-sqr-sqrt_binary64` `add-exp-log_binary64`
34×	`neg-sub0_binary64` `exp-diff_binary64` `exp-neg_binary64`
32×	`frac-times_binary64`
30×	`associate-*r/_binary64`
22×	`prod-exp_binary64` `cbrt-prod_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
17×	`pow1_binary64`
16×	`associate-*l/_binary64`
14×	`associate-l_binary64`
13×	`associate-r_binary64`
11×	`add-cbrt-cube_binary64`
10×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
8×	`unpow-prod-down_binary64`
6×	`pow1/3_binary64` `swap-sqr_binary64`
5×	`pow-prod-down_binary64`
4×	`pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-unpow_binary64` `*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-pow_binary64` `pow2_binary64` `pow-plus_binary64`

Counts

4 → 148

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
9.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
7.0ms	(*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w))))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 3603 to 666 computations (81.5% saved)

series191.0ms (1.3%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

63.0ms	(*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w))))
42.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w)))) (*.f64 (pow.f64 l (exp.f64 w)) (cbrt.f64 (exp.f64 (neg.f64 w)))))
33.0ms	(pow.f64 l (exp.f64 w))
21.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))

Compiler

Compiled 2359 to 1261 computations (46.5% saved)

simplify157.0ms (1%)

Algorithm

1×	egg-herbie

Rules

695×	`unswap-sqr_binary64`
429×	`associate-r_binary64`
383×	`associate-l_binary64`
322×	`log-prod_binary64`
272×	`times-frac_binary64`
179×	`*-commutative_binary64`
136×	`associate-+r+_binary64`
118×	`exp-prod_binary64`
116×	`+-commutative_binary64`
105×	`sub-neg_binary64`
100×	`sqr-pow_binary64`
94×	`associate-+l+_binary64`
45×	`swap-sqr_binary64`
43×	`associate--l+_binary64`
41×	`log-pow_binary64` `cube-prod_binary64`
34×	`cancel-sign-sub-inv_binary64`
30×	`neg-sub0_binary64`
28×	`unsub-neg_binary64` `pow-sqr_binary64`
26×	`neg-mul-1_binary64` `associate--r+_binary64`
23×	`*-rgt-identity_binary64`
21×	`*-lft-identity_binary64`
18×	`log-div_binary64`
15×	`rem-sqrt-square_binary64`
13×	`cube-unmult_binary64`
12×	`distribute-rgt-out_binary64`
10×	`distribute-neg-in_binary64`
9×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
8×	`log-rec_binary64`
7×	`pow-plus_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `distribute-lft-neg-in_binary64`
6×	`associate-*r/_binary64`
5×	`associate-/r*_binary64`
4×	`unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `associate-/l*_binary64`
3×	`pow-base-1_binary64` `rem-3cbrt-rft_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
2×	`unpow3_binary64` `exp-to-pow_binary64` `cube-mult_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/l/_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` `pow-base-0_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `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` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate--l-_binary64`

Counts

181 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	4448
1	642	3370
2	2489	3285
3	4537	3285
4	4952	3285

prune109.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	134	4	138

Error

0.0b

Counts

138 → 4

Compiler

Compiled 1809 to 597 computations (67% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
0.0b	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
0.0b	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
0.1b	(pow.f64 l (exp.f64 w))

rewrite220.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`pow-pow_binary64`
30×	`exp-prod_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`unpow-prod-down_binary64` `pow-unpow_binary64`
9×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
8×	`pow1_binary64`
5×	`add-exp-log_binary64`
4×	`pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `sqr-pow_binary64`
3×	`neg-mul-1_binary64`

Counts

4 → 98

Calls

4 calls:

5.0ms	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
5.0ms	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
4.0ms	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 3321 to 1457 computations (56.1% saved)

series150.0ms (1%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

42.0ms	(pow.f64 l (exp.f64 w))
20.0ms	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
19.0ms	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)
19.0ms	(pow.f64 (exp.f64 (neg.f64 w)) 2/3)

Compiler

Compiled 2302 to 1423 computations (38.2% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-l_binary64`
543×	`associate-r_binary64`
223×	`*-commutative_binary64`
193×	`exp-prod_binary64` `cancel-sign-sub-inv_binary64`
185×	`sqr-pow_binary64`
182×	`associate-+l+_binary64`
171×	`associate-+r+_binary64`
164×	`log-prod_binary64`
122×	`unswap-sqr_binary64`
110×	`times-frac_binary64`
93×	`+-commutative_binary64`
84×	`log-pow_binary64`
79×	`distribute-rgt-out_binary64`
75×	`pow-sqr_binary64`
73×	`sub-neg_binary64`
64×	`exp-sum_binary64`
47×	`unpow3_binary64`
45×	`distribute-rgt-in_binary64`
41×	`distribute-lft-in_binary64`
40×	`log-div_binary64`
37×	`cube-prod_binary64`
33×	`distribute-neg-in_binary64`
31×	`neg-sub0_binary64` `*-rgt-identity_binary64`
28×	`neg-mul-1_binary64`
27×	`cube-unmult_binary64` `unsub-neg_binary64`
24×	`pow-plus_binary64` `distribute-lft-out_binary64`
23×	`div-sub_binary64` `swap-sqr_binary64`
22×	`exp-to-pow_binary64` `distribute-rgt-neg-in_binary64`
19×	`exp-diff_binary64` `distribute-lft-neg-in_binary64`
14×	`associate-/l*_binary64` `associate-+r-_binary64`
13×	`rem-sqrt-square_binary64` `associate-+l-_binary64`
12×	`-lft-identity_binary64` `associate-r/_binary64`
11×	`associate-/r*_binary64` `associate--l+_binary64` `associate--r+_binary64`
10×	`log-rec_binary64` `pow-base-1_binary64` `exp-neg_binary64` `distribute-lft-neg-out_binary64` `associate-/l/_binary64`
8×	`unpow1/2_binary64`
7×	`unpow1/3_binary64` `distribute-rgt-neg-out_binary64`
6×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
5×	`rem-exp-log_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `count-2_binary64`
3×	`rem-log-exp_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
2×	`prod-exp_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `distribute-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` `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` `pow-base-0_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `div0_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` `associate--l-_binary64`

Counts

125 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1329
1	313	1235
2	905	1160
3	3531	1160
4	4693	1160
5	4931	1160

prune126.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Error

0.0b

Counts

90 → 4

Compiler

Compiled 2258 to 1005 computations (55.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
0.1b	(pow.f64 l (exp.f64 w))
0.4b	(*.f64 1/3 (neg.f64 w))
4.7b	(exp.f64 (+.f64 (log.f64 (pow.f64 l (exp.f64 w))) (*.f64 1/3 (neg.f64 w))))

rewrite109.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-r_binary64` `cbrt-prod_binary64`
14×	`pow1_binary64`
12×	`cbrt-div_binary64`
9×	`add-exp-log_binary64` `associate-l_binary64`
7×	`exp-diff_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `pow1/3_binary64` `neg-sub0_binary64` `exp-neg_binary64` `swap-sqr_binary64`
5×	`unswap-sqr_binary64`
4×	`frac-times_binary64`
3×	`exp-prod_binary64` `pow-prod-down_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64`
2×	`distribute-rgt-neg-out_binary64` `rem-exp-log_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `-commutative_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-*r/_binary64`
1×	`unsub-neg_binary64` `exp-sum_binary64` `sum-log_binary64` `neg-mul-1_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `pow2_binary64` `pow-plus_binary64`

Counts

4 → 105

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
5.0ms	(*.f64 1/3 (neg.f64 w))
4.0ms	(exp.f64 (+.f64 (log.f64 (pow.f64 l (exp.f64 w))) (*.f64 1/3 (neg.f64 w))))
2.0ms	(pow.f64 l (exp.f64 w))

Compiler

Compiled 2602 to 823 computations (68.4% saved)

series136.0ms (0.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

50.0ms	(exp.f64 (+.f64 (log.f64 (pow.f64 l (exp.f64 w))) (*.f64 1/3 (neg.f64 w))))
37.0ms	(pow.f64 l (exp.f64 w))
19.0ms	(*.f64 (cbrt.f64 (exp.f64 (neg.f64 w))) (cbrt.f64 (exp.f64 (neg.f64 w))))
7.0ms	(*.f64 1/3 (neg.f64 w))

Compiler

Compiled 1988 to 1143 computations (42.5% saved)

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

250×	`associate-r_binary64`
245×	`unswap-sqr_binary64`
214×	`distribute-rgt-neg-out_binary64`
194×	`associate-l_binary64`
188×	`distribute-lft-neg-out_binary64`
173×	`distribute-rgt-out_binary64`
156×	`cancel-sign-sub-inv_binary64`
148×	`associate--l+_binary64`
144×	`exp-prod_binary64`
116×	`log-prod_binary64`
115×	`*-commutative_binary64`
95×	`sqr-pow_binary64`
94×	`distribute-rgt-in_binary64`
89×	`distribute-lft-in_binary64`
81×	`distribute-rgt-neg-in_binary64`
78×	`associate-+r+_binary64`
77×	`distribute-lft-neg-in_binary64`
73×	`distribute-lft-out_binary64`
71×	`+-commutative_binary64`
66×	`neg-sub0_binary64`
63×	`sub-neg_binary64`
60×	`neg-mul-1_binary64`
54×	`log-pow_binary64`
53×	`associate-+l+_binary64`
45×	`associate-/l*_binary64`
44×	`log-div_binary64`
38×	`prod-exp_binary64`
37×	`unsub-neg_binary64`
31×	`pow-sqr_binary64`
30×	`associate-*r/_binary64`
28×	`swap-sqr_binary64`
24×	`times-frac_binary64`
22×	`associate-*l/_binary64`
20×	`exp-sum_binary64` `cube-prod_binary64`
18×	`associate-/r*_binary64`
15×	`unpow3_binary64`
14×	`exp-to-pow_binary64` `div-exp_binary64`
13×	`pow-plus_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
12×	`cube-unmult_binary64`
10×	`*-rgt-identity_binary64`
9×	`exp-diff_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `distribute-neg-in_binary64` `associate-/l/_binary64`
8×	`log-rec_binary64` `exp-neg_binary64` `rem-log-exp_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
7×	`count-2_binary64`
6×	`unpow1/2_binary64`
4×	`unpow1/3_binary64` `unpow2_binary64` `pow-base-1_binary64` `unpow1_binary64` `rec-exp_binary64` `cube-mult_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
3×	`rem-exp-log_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `associate-/r/_binary64`
2×	`cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `div-sub_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `associate--l-_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` `pow-base-0_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` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `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`

Counts

132 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	2107
1	548	1895
2	1829	1670
3	4595	1626
4	4919	1626

prune69.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	99	4	103

Error

0.0b

Counts

103 → 4

Compiler

Compiled 1801 to 729 computations (59.5% saved)

regimes550.0ms (3.6%)

Accuracy

Total 0.2b remaining (66.5%)

Threshold costs 0.2b (66.5%)

Compiler

Compiled 8267 to 5177 computations (37.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_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` `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	12	31
1	17	31
2	19	31
3	20	31
4	20	31

end1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

sample11.3s (74.2%)

Algorithm

1×

intervals

Results

8.4s	4843×	body	8192	exit
1.1s	3314×	body	1024	nan
435.0ms	8000×	body	128	valid
275.0ms	1607×	body	512	nan
91.0ms	873×	body	256	nan
14.0ms	334×	body	128	nan
11.0ms	159×	body	128	overflowed
6.0ms	103×	body	128	invalid
4.0ms	3×	body	4096	nan
2.0ms	1×	body	8192	nan
1.0ms	3×	body	2048	nan

Compiler

Compiled 190 to 135 computations (28.9% saved)

Details

analyze745.0ms (4.9%)

sample424.0ms (2.8%)

simplify100.0ms (0.7%)

prune3.0ms (0%)

localize6.0ms (0%)

rewrite48.0ms (0.3%)

series87.0ms (0.6%)

simplify123.0ms (0.8%)

prune37.0ms (0.2%)

localize9.0ms (0.1%)

rewrite260.0ms (1.7%)

series191.0ms (1.3%)

simplify157.0ms (1%)

prune109.0ms (0.7%)

localize17.0ms (0.1%)

rewrite220.0ms (1.5%)

series150.0ms (1%)

simplify113.0ms (0.7%)

prune126.0ms (0.8%)

localize15.0ms (0.1%)

rewrite109.0ms (0.7%)

series136.0ms (0.9%)

simplify107.0ms (0.7%)

prune69.0ms (0.5%)

regimes550.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample11.3s (74.2%)

Profiling