Details

analyze459.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

954×	`sqr-pow_binary64`
639×	`*-commutative_binary64`
526×	`associate-l_binary64`
470×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`
334×	`cube-prod_binary64`
332×	`associate-r_binary64`
248×	`unpow3_binary64`
240×	`cube-mult_binary64`
78×	`pow-plus_binary64`
34×	`rem-sqrt-square_binary64`
14×	`unpow1/2_binary64`
12×	`unpow2_binary64` `unpow1_binary64`
10×	`cube-unmult_binary64`
2×	`+-commutative_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` `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` `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-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` `div-sub_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` `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` `swap-sqr_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-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` `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	28	52
1	57	52
2	100	52
3	167	52
4	359	52
5	986	52
6	1184	52
7	1819	52
8	1862	52
9	2023	52
10	2216	52
11	2526	52
12	2612	52
13	3115	52
14	3751	52
15	3963	52
16	4093	52
17	4125	52
18	4129	52
19	4129	52
20	4936	52
21	4873	52
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample54.0ms (0.9%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify160.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`sqr-pow_binary64`
818×	`unswap-sqr_binary64`
693×	`pow-sqr_binary64`
461×	`cube-prod_binary64`
405×	`unpow3_binary64`
401×	`cube-mult_binary64`
358×	`*-commutative_binary64`
263×	`associate-l_binary64`
166×	`associate-r_binary64`
68×	`pow-plus_binary64`
32×	`rem-sqrt-square_binary64`
10×	`unpow1/2_binary64`
9×	`unpow2_binary64` `unpow1_binary64`
8×	`cube-unmult_binary64`
5×	`swap-sqr_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` `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` `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-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` `div-sub_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` `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-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-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` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	26
1	37	26
2	60	26
3	95	26
4	193	26
5	510	26
6	613	26
7	798	26
8	1384	26
9	1423	26
10	1454	26
11	1550	26
12	1803	26
13	2143	26
14	2453	26
15	3043	26
16	3813	26
17	4084	26
18	4339	26
19	4514	26
20	4616	26
21	4640	26
22	5644	26

prune7.0ms (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

0.4b

Counts

2 → 1

Compiler

Compiled 32 to 32 computations (0% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite108.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`sqrt-prod_binary64` `*-commutative_binary64` `sqrt-pow1_binary64`
1×	`unswap-sqr_binary64` `pow1/2_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

8.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1317 to 1005 computations (23.7% saved)

series121.0ms (1.9%)

Error

0.2b

Counts

4 → 17

Calls

4 calls:

58.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
28.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
15.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
8.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 831 to 773 computations (7% saved)

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

479×	`*-commutative_binary64`
417×	`cancel-sign-sub-inv_binary64`
328×	`unswap-sqr_binary64`
238×	`distribute-rgt-neg-in_binary64`
222×	`distribute-lft-neg-in_binary64`
214×	`distribute-rgt-in_binary64`
198×	`distribute-lft-in_binary64`
196×	`associate-l_binary64`
186×	`associate-r_binary64`
181×	`sub-neg_binary64`
169×	`sqr-pow_binary64`
164×	`associate-+l+_binary64`
153×	`associate-+r+_binary64`
138×	`neg-mul-1_binary64`
77×	`neg-sub0_binary64`
76×	`distribute-rgt-out_binary64`
69×	`+-commutative_binary64`
59×	`exp-prod_binary64`
57×	`distribute-neg-in_binary64`
54×	`pow-sqr_binary64`
49×	`cube-prod_binary64` `swap-sqr_binary64`
48×	`unsub-neg_binary64`
45×	`log-prod_binary64`
39×	`rem-sqrt-square_binary64`
34×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
31×	`associate-+l-_binary64`
27×	`associate-+r-_binary64`
24×	`associate--r+_binary64`
21×	`unpow3_binary64`
18×	`associate-/l*_binary64`
17×	`associate--l+_binary64`
15×	`sub0-neg_binary64`
14×	`cube-mult_binary64`
13×	`+-rgt-identity_binary64` `distribute-lft-out--_binary64`
10×	`cube-unmult_binary64` `*-rgt-identity_binary64` `associate--r-_binary64`
9×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
8×	`log-pow_binary64` `unpow1/2_binary64` `pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`log-div_binary64`
4×	`prod-exp_binary64` `cube-div_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
3×	`unpow1_binary64` `exp-lft-sqr_binary64` `times-frac_binary64` `+-lft-identity_binary64` `count-2_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `exp-sum_binary64` `associate-/r*_binary64` `associate--l-_binary64`
1×	`exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-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-cbrt_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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_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-neg-out_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

76 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	1382
1	360	1258
2	1125	1238
3	2050	1228
4	3781	1228
5	4897	1228
6	4927	1228

prune43.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	7	42

Error

0.0b

Counts

42 → 7

Compiler

Compiled 769 to 592 computations (23% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
0.2b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
0.2b	(.f64 (.f64 2 PI.f64) u2)

rewrite142.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`pow1_binary64`
19×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`sqrt-pow1_binary64`
11×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
9×	`sqrt-prod_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`pow1/2_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64` `sqrt-unprod_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
7.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1799 to 1453 computations (19.2% saved)

series80.0ms (1.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
21.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
17.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
9.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 698 to 675 computations (3.3% saved)

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

374×	`*-commutative_binary64`
343×	`associate-+l+_binary64`
293×	`neg-mul-1_binary64`
275×	`distribute-rgt-in_binary64`
216×	`distribute-lft-in_binary64`
213×	`sub-neg_binary64`
205×	`sqr-pow_binary64` `associate--r+_binary64`
196×	`associate-l_binary64`
183×	`unswap-sqr_binary64` `distribute-neg-in_binary64`
166×	`cancel-sign-sub-inv_binary64`
161×	`associate-r_binary64`
153×	`associate--r-_binary64`
151×	`unsub-neg_binary64`
131×	`distribute-lft-neg-out_binary64`
129×	`associate-+r-_binary64`
126×	`distribute-rgt-neg-out_binary64`
119×	`times-frac_binary64`
95×	`exp-prod_binary64`
94×	`log-prod_binary64`
84×	`cube-prod_binary64`
76×	`log-div_binary64`
75×	`pow-sqr_binary64`
74×	`cube-div_binary64`
71×	`associate-/l*_binary64`
56×	`rem-sqrt-square_binary64`
52×	`associate-+r+_binary64`
46×	`associate-/l/_binary64`
38×	`+-commutative_binary64`
36×	`swap-sqr_binary64`
34×	`neg-sub0_binary64`
33×	`associate-*r/_binary64`
31×	`associate-+l-_binary64`
29×	`associate--l+_binary64`
28×	`*-rgt-identity_binary64` `associate-/r/_binary64`
27×	`*-lft-identity_binary64`
25×	`associate--l-_binary64`
20×	`unpow3_binary64` `associate-/r*_binary64`
18×	`cube-mult_binary64`
12×	`exp-lft-sqr_binary64`
11×	`unpow1/2_binary64` `cube-unmult_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
9×	`exp-sqrt_binary64` `associate-*l/_binary64`
8×	`--rgt-identity_binary64` `distribute-rgt-out_binary64`
7×	`log-rec_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64`
5×	`log-pow_binary64` `prod-exp_binary64` `distribute-rgt-neg-in_binary64` `distribute-rgt1-in_binary64`
4×	`pow-plus_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `count-2_binary64`
3×	`distribute-lft-neg-in_binary64`
2×	`unpow1_binary64` `exp-sum_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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-cbrt_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` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_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-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

93 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1334
1	261	1130
2	767	1130
3	1070	1122
4	1506	1122
5	3343	1122
6	4406	1122
7	5026	1122

prune65.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Error

Counts

65 → 5

Compiler

Compiled 936 to 749 computations (20% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

rewrite102.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
3×	`sqrt-pow1_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

5.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
3.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))

Compiler

Compiled 1287 to 984 computations (23.5% saved)

series105.0ms (1.6%)

Error

Counts

4 → 17

Calls

4 calls:

50.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
15.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
15.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
8.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 775 to 714 computations (7.9% saved)

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

455×	`*-commutative_binary64`
389×	`unswap-sqr_binary64`
275×	`unsub-neg_binary64`
224×	`associate-l_binary64`
201×	`associate-+l+_binary64`
195×	`sqr-pow_binary64`
191×	`associate-+r+_binary64`
184×	`distribute-rgt-in_binary64`
178×	`associate-r_binary64`
171×	`distribute-lft-in_binary64`
163×	`cancel-sign-sub-inv_binary64`
144×	`distribute-rgt-neg-in_binary64`
139×	`sub-neg_binary64`
123×	`distribute-lft-neg-in_binary64`
104×	`neg-mul-1_binary64`
100×	`neg-sub0_binary64`
96×	`exp-prod_binary64`
95×	`log-prod_binary64`
83×	`cube-prod_binary64`
76×	`exp-sum_binary64`
74×	`+-commutative_binary64`
56×	`swap-sqr_binary64`
55×	`pow-sqr_binary64`
33×	`distribute-rgt-out_binary64`
31×	`div-sub_binary64` `associate-+l-_binary64`
29×	`associate-+r-_binary64`
28×	`exp-diff_binary64`
26×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`associate-/l*_binary64`
17×	`*-rgt-identity_binary64` `associate--l+_binary64`
15×	`*-lft-identity_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64`
14×	`unpow3_binary64`
12×	`rem-sqrt-square_binary64`
11×	`cube-unmult_binary64`
10×	`exp-to-pow_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
9×	`unpow1/2_binary64`
8×	`pow-plus_binary64` `cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64`
7×	`log-pow_binary64` `sqr-neg_binary64` `remove-double-neg_binary64`
5×	`exp-lft-sqr_binary64` `prod-exp_binary64` `distribute-lft-out_binary64`
4×	`cube-neg_binary64` `+-lft-identity_binary64` `count-2_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `times-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`log-div_binary64` `unpow-1_binary64` `associate-/r*_binary64` `associate--l-_binary64`
1×	`log-E_binary64` `log-rec_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_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-neg-out_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

76 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1314
1	374	1073
2	1143	1053
3	1927	1046
4	3678	1046
5	5058	1046

prune60.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Error

Counts

60 → 5

Compiler

Compiled 847 to 620 computations (26.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.2b	(*.f64 u2 PI.f64)
0.4b	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 PI.f64))))))
0.4b	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 PI.f64)))))

rewrite136.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`pow1_binary64`
24×	`sqrt-prod_binary64`
21×	`associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64`
3×	`*-commutative_binary64`
2×	`neg-mul-1_binary64`
1×	`unswap-sqr_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 91

Calls

4 calls:

11.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 PI.f64))))))
10.0ms	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 PI.f64)))))
4.0ms	(*.f64 u2 PI.f64)
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 1963 to 1171 computations (40.3% saved)

series153.0ms (2.4%)

Error

Counts

4 → 22

Calls

4 calls:

59.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 PI.f64))))))
55.0ms	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 PI.f64)))))
16.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
8.0ms	(*.f64 u2 PI.f64)

Compiler

Compiled 1191 to 1054 computations (11.5% saved)

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

609×	`*-commutative_binary64`
512×	`neg-mul-1_binary64`
260×	`associate-r_binary64`
256×	`distribute-rgt-in_binary64`
224×	`associate-l_binary64`
222×	`distribute-lft-in_binary64`
217×	`distribute-lft-neg-out_binary64`
212×	`distribute-rgt-neg-out_binary64`
207×	`distribute-rgt-neg-in_binary64`
203×	`cancel-sign-sub-inv_binary64`
193×	`distribute-lft-neg-in_binary64`
111×	`neg-sub0_binary64`
103×	`sqr-pow_binary64`
86×	`unswap-sqr_binary64`
81×	`unsub-neg_binary64`
77×	`exp-prod_binary64`
73×	`swap-sqr_binary64`
66×	`log-prod_binary64` `cube-prod_binary64`
54×	`sub-neg_binary64`
35×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`
26×	`associate-+l+_binary64`
24×	`associate-+r+_binary64`
21×	`distribute-lft-out--_binary64`
20×	`distribute-rgt-out_binary64`
17×	`pow-sqr_binary64`
16×	`unpow3_binary64` `distribute-rgt-out--_binary64`
13×	`associate-+r-_binary64`
11×	`cube-unmult_binary64`
10×	`cube-mult_binary64`
9×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l*_binary64`
8×	`associate-+l-_binary64`
7×	`*-lft-identity_binary64`
6×	`log-pow_binary64` `pow-plus_binary64`
5×	`*-rgt-identity_binary64` `sub0-neg_binary64` `associate--l+_binary64`
4×	`unpow1/2_binary64`
3×	`distribute-neg-in_binary64`
2×	`log-div_binary64` `unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `rem-square-sqrt_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_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` `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-diff_binary64` `exp-neg_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` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-rgt1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r+_binary64`

Counts

113 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2522
1	370	2269
2	1182	2233
3	2176	2215
4	4812	2215
5	5174	2215

prune65.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Error

Counts

77 → 5

Compiler

Compiled 1151 to 732 computations (36.4% saved)

regimes2.4s (38.5%)

Accuracy

Total 0.2b remaining (94.4%)

Threshold costs 0.2b (94.4%)

Compiler

Compiled 34265 to 31987 computations (6.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-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` `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	15	23
1	19	23
2	19	23

end1.0ms (0%)

Compiler: Compiled 14 to 14 computations (0% saved)

sample1.5s (24.3%)

Algorithm

1×

intervals

Results

823.0ms	8000×	body	128	valid
203.0ms	8000×	pre	128	true

Compiler

Compiled 153 to 151 computations (1.3% saved)

Details

analyze459.0ms (7.2%)

sample54.0ms (0.9%)

simplify160.0ms (2.5%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite108.0ms (1.7%)

series121.0ms (1.9%)

simplify109.0ms (1.7%)

prune43.0ms (0.7%)

localize17.0ms (0.3%)

rewrite142.0ms (2.2%)

series80.0ms (1.3%)

simplify117.0ms (1.8%)

prune65.0ms (1%)

localize14.0ms (0.2%)

rewrite102.0ms (1.6%)

series105.0ms (1.6%)

simplify90.0ms (1.4%)

prune60.0ms (0.9%)

localize19.0ms (0.3%)

rewrite136.0ms (2.1%)

series153.0ms (2.4%)

simplify122.0ms (1.9%)

prune65.0ms (1%)

regimes2.4s (38.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.5s (24.3%)

Profiling