Details

analyze205.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

889×	`associate-/r*_binary64`
839×	`neg-mul-1_binary64`
735×	`sub-neg_binary64`
637×	`neg-sub0_binary64`
568×	`associate-/l/_binary64`
553×	`distribute-rgt-in_binary64`
548×	`distribute-rgt-neg-out_binary64`
516×	`unsub-neg_binary64`
509×	`distribute-lft-neg-out_binary64`
439×	`distribute-lft-in_binary64`
421×	`distribute-rgt-neg-in_binary64`
303×	`associate--r+_binary64`
292×	`distribute-neg-in_binary64`
243×	`distribute-lft-out--_binary64`
221×	`remove-double-neg_binary64`
220×	`distribute-lft-out_binary64`
195×	`*-commutative_binary64`
183×	`associate--l+_binary64`
147×	`--rgt-identity_binary64`
133×	`associate-l_binary64`
124×	`distribute-rgt-out--_binary64`
123×	`associate--l-_binary64`
121×	`associate-r_binary64`
114×	`*-lft-identity_binary64`
110×	`*-rgt-identity_binary64` `+-commutative_binary64`
108×	`distribute-lft-neg-in_binary64`
107×	`cancel-sign-sub-inv_binary64`
103×	`associate--r-_binary64`
91×	`sub0-neg_binary64`
86×	`associate-+l-_binary64`
68×	`mul0-rgt_binary64` `mul0-lft_binary64`
53×	`distribute-rgt-out_binary64`
47×	`+-lft-identity_binary64`
46×	`distribute-neg-out_binary64`
33×	`associate-+r+_binary64`
28×	`distribute-rgt1-in_binary64`
12×	`cancel-sign-sub_binary64` `associate-+l+_binary64`
11×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
10×	`+-rgt-identity_binary64`
6×	`mul-1-neg_binary64`
2×	`+-inverses_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	102	28
3	247	28
4	623	28
5	883	28
6	1301	28
7	2726	28
8	3095	28
9	3370	28
10	3431	28
11	3460	28
12	3552	28
13	4935	28
14	4948	28
15	4655	28
16	4895	28
17	4843	28
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 17 computations (19% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify193.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

889×	`associate-/r*_binary64`
839×	`neg-mul-1_binary64`
735×	`sub-neg_binary64`
637×	`neg-sub0_binary64`
568×	`associate-/l/_binary64`
553×	`distribute-rgt-in_binary64`
548×	`distribute-rgt-neg-out_binary64`
516×	`unsub-neg_binary64`
509×	`distribute-lft-neg-out_binary64`
439×	`distribute-lft-in_binary64`
421×	`distribute-rgt-neg-in_binary64`
303×	`associate--r+_binary64`
292×	`distribute-neg-in_binary64`
243×	`distribute-lft-out--_binary64`
221×	`remove-double-neg_binary64`
220×	`distribute-lft-out_binary64`
195×	`*-commutative_binary64`
183×	`associate--l+_binary64`
147×	`--rgt-identity_binary64`
133×	`associate-l_binary64`
124×	`distribute-rgt-out--_binary64`
123×	`associate--l-_binary64`
121×	`associate-r_binary64`
114×	`*-lft-identity_binary64`
110×	`*-rgt-identity_binary64` `+-commutative_binary64`
108×	`distribute-lft-neg-in_binary64`
107×	`cancel-sign-sub-inv_binary64`
103×	`associate--r-_binary64`
91×	`sub0-neg_binary64`
86×	`associate-+l-_binary64`
68×	`mul0-rgt_binary64` `mul0-lft_binary64`
53×	`distribute-rgt-out_binary64`
47×	`+-lft-identity_binary64`
46×	`distribute-neg-out_binary64`
33×	`associate-+r+_binary64`
28×	`distribute-rgt1-in_binary64`
12×	`cancel-sign-sub_binary64` `associate-+l+_binary64`
11×	`/-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
10×	`+-rgt-identity_binary64`
6×	`mul-1-neg_binary64`
2×	`+-inverses_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	42	28
2	102	28
3	247	28
4	623	28
5	883	28
6	1301	28
7	2726	28
8	3095	28
9	3370	28
10	3431	28
11	3460	28
12	3552	28
13	4935	28
14	4948	28
15	4655	28
16	4895	28
17	4843	28

prune10.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.1b	(.f64 (.f64 v v) 6)

rewrite182.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`associate-*r/_binary64`
18×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
12×	`*-un-lft-identity_binary64` `frac-times_binary64`
11×	`add-cube-cbrt_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
9×	`associate-l_binary64`
8×	`associate-/r/_binary64`
7×	`pow-prod-down_binary64`
6×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `sqrt-prod_binary64`
3×	`unswap-sqr_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `associate-/l_binary64`
2×	`difference-of-squares_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
10.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
9.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 3261 to 2040 computations (37.4% saved)

series102.0ms (2.7%)

Error

Counts

4 → 21

Calls

4 calls:

29.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
19.0ms	(.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))
17.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
9.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1392 to 1209 computations (13.1% saved)

simplify144.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-in_binary64`
359×	`cancel-sign-sub-inv_binary64`
265×	`associate-r_binary64`
238×	`associate-l_binary64`
229×	`neg-mul-1_binary64`
223×	`distribute-rgt-neg-in_binary64`
184×	`distribute-lft-neg-in_binary64`
175×	`times-frac_binary64` `associate-/r*_binary64`
163×	`*-commutative_binary64`
150×	`associate-/l*_binary64`
147×	`sub-neg_binary64`
98×	`+-commutative_binary64`
78×	`distribute-neg-in_binary64`
75×	`associate-+r+_binary64`
69×	`exp-prod_binary64`
66×	`associate-+l+_binary64`
61×	`neg-sub0_binary64`
50×	`distribute-neg-frac_binary64`
49×	`sqr-pow_binary64`
48×	`associate--r+_binary64`
47×	`distribute-lft-neg-out_binary64`
46×	`associate-l/_binary64` `associate-r/_binary64`
40×	`log-prod_binary64`
39×	`associate--l+_binary64`
37×	`cube-prod_binary64`
35×	`distribute-lft-in_binary64`
31×	`unsub-neg_binary64`
27×	`unswap-sqr_binary64`
26×	`distribute-rgt-out_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`*-lft-identity_binary64`
21×	`*-rgt-identity_binary64` `swap-sqr_binary64`
18×	`exp-sum_binary64` `div-sub_binary64`
17×	`unpow3_binary64`
16×	`cube-div_binary64`
15×	`cube-mult_binary64` `associate-/r/_binary64`
14×	`log-div_binary64`
9×	`cube-unmult_binary64`
7×	`/-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
4×	`exp-diff_binary64` `distribute-rgt-out--_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64`
2×	`log-pow_binary64` `exp-neg_binary64` `pow-sqr_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `distribute-lft1-in_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-rec_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` `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` `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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

129 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	3874
1	772	3457
2	3063	3412
3	4829	3412
4	5077	3412

prune141.0ms (3.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 2652 to 1804 computations (32% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)
0.2b	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) PI.f64))
0.2b	(.f64 3 (-.f64 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) PI.f64) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)))
0.2b	(/.f64 (*.f64 v v) (sqrt.f64 2))

rewrite237.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
14×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
10×	`sqrt-prod_binary64` `pow-prod-down_binary64`
8×	`associate-r_binary64`
6×	`associate-/r*_binary64`
5×	`associate-*l/_binary64`
4×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
3×	`*-commutative_binary64`
2×	`div-inv_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `flip--_binary64` `distribute-rgt-out--_binary64`

Counts

4 → 108

Calls

4 calls:

14.0ms	(.f64 3 (-.f64 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) PI.f64) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)))
8.0ms	(.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)
8.0ms	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) PI.f64))
5.0ms	(/.f64 (*.f64 v v) (sqrt.f64 2))

Compiler

Compiled 5292 to 3783 computations (28.5% saved)

series104.0ms (2.8%)

Error

Counts

4 → 15

Calls

4 calls:

42.0ms	(.f64 3 (-.f64 (.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 2)) PI.f64) (.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)))
18.0ms	(.f64 (/.f64 (.f64 v v) (sqrt.f64 2)) PI.f64)
16.0ms	(/.f64 (*.f64 v v) (sqrt.f64 2))
16.0ms	(.f64 (.f64 v v) (*.f64 (sqrt.f64 2) PI.f64))

Compiler

Compiled 1487 to 1218 computations (18.1% saved)

simplify112.0ms (3%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-/l*_binary64`
255×	`times-frac_binary64`
223×	`associate-l_binary64`
199×	`associate-r_binary64`
173×	`cube-div_binary64`
155×	`associate-/l/_binary64`
153×	`exp-prod_binary64`
152×	`distribute-rgt-in_binary64`
146×	`distribute-lft-in_binary64`
141×	`associate-/r*_binary64`
136×	`associate-/r/_binary64`
132×	`*-commutative_binary64`
101×	`associate-*l/_binary64`
99×	`log-div_binary64` `distribute-rgt-neg-in_binary64`
97×	`cancel-sign-sub-inv_binary64`
86×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
72×	`associate-*r/_binary64`
61×	`distribute-neg-frac_binary64`
50×	`cube-prod_binary64`
48×	`unswap-sqr_binary64`
46×	`swap-sqr_binary64`
45×	`sqr-pow_binary64`
42×	`+-commutative_binary64`
40×	`distribute-rgt-out_binary64`
39×	`unpow3_binary64` `sub-neg_binary64`
35×	`cube-mult_binary64`
34×	`distribute-lft-neg-out_binary64`
33×	`associate-+l-_binary64`
29×	`distribute-rgt-out--_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
23×	`associate-+r-_binary64`
22×	`associate-+r+_binary64`
21×	`exp-sum_binary64` `associate-+l+_binary64`
20×	`distribute-rgt-neg-out_binary64`
14×	`exp-diff_binary64` `*-rgt-identity_binary64`
10×	`distribute-lft-out_binary64` `associate--l-_binary64`
8×	`*-lft-identity_binary64`
7×	`exp-lft-cube_binary64` `div-sub_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`cube-unmult_binary64`
5×	`pow-plus_binary64`
4×	`log-rec_binary64`
3×	`/-rgt-identity_binary64` `pow-sqr_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `exp-neg_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `distribute-neg-in_binary64` `count-2_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-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-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` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64`

Counts

123 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2419
1	435	2165
2	1635	2107
3	4526	2107
4	4988	2107

prune87.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	80	2	82

Error

Counts

82 → 2

Compiler

Compiled 2218 to 1599 computations (27.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
0.1b	(.f64 6 (.f64 v v))
1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

rewrite159.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`pow1_binary64`
18×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`add-sqr-sqrt_binary64` `sqrt-div_binary64` `pow-prod-down_binary64` `associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
8×	`frac-times_binary64` `associate-/r/_binary64`
5×	`associate-l_binary64`
4×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*l/_binary64`
3×	`times-frac_binary64` `associate-/l_binary64` `-commutative_binary64` `sqrt-prod_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `unswap-sqr_binary64`

Counts

4 → 110

Calls

4 calls:

14.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
14.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
7.0ms	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
5.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 3404 to 2236 computations (34.3% saved)

series97.0ms (2.6%)

Error

Counts

4 → 21

Calls

4 calls:

28.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
24.0ms	(.f64 (.f64 (.f64 3 PI.f64) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
17.0ms	(.f64 (.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
8.0ms	(.f64 6 (.f64 v v))

Compiler

Compiled 1340 to 1150 computations (14.2% saved)

simplify116.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

505×	`distribute-rgt-in_binary64`
434×	`associate-l_binary64`
369×	`associate-r_binary64`
286×	`cancel-sign-sub-inv_binary64`
215×	`distribute-rgt-neg-in_binary64`
210×	`*-commutative_binary64`
194×	`distribute-lft-neg-in_binary64`
180×	`associate-/r*_binary64`
149×	`associate-/l*_binary64`
144×	`times-frac_binary64`
103×	`sub-neg_binary64`
86×	`+-commutative_binary64`
67×	`associate-+r+_binary64`
64×	`distribute-neg-in_binary64`
58×	`associate-+l+_binary64`
53×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64` `sqr-pow_binary64`
51×	`log-prod_binary64`
47×	`exp-prod_binary64`
44×	`*-lft-identity_binary64`
42×	`distribute-neg-frac_binary64` `associate-l/_binary64` `associate-r/_binary64`
38×	`swap-sqr_binary64`
37×	`cube-prod_binary64` `distribute-rgt-out_binary64`
32×	`distribute-lft-neg-out_binary64`
31×	`distribute-lft-in_binary64` `associate--r+_binary64`
28×	`*-rgt-identity_binary64`
27×	`associate--l+_binary64`
23×	`unswap-sqr_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`unsub-neg_binary64`
15×	`div-sub_binary64`
12×	`associate-/l/_binary64` `associate-/r/_binary64`
9×	`log-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
8×	`cube-unmult_binary64`
7×	`unpow3_binary64` `cube-mult_binary64` `distribute-lft-out_binary64`
4×	`exp-sum_binary64` `cube-div_binary64` `distribute-rgt1-in_binary64`
3×	`rem-square-sqrt_binary64` `pow-sqr_binary64`
2×	`pow-plus_binary64` `exp-lft-cube_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

131 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	3988
1	799	3326
2	3317	3280
3	5019	3280

prune105.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

Counts

119 → 2

Compiler

Compiled 2366 to 1630 computations (31.1% saved)

regimes931.0ms (24.9%)

Accuracy

Total 0.0b remaining (52.5%)

Threshold costs 0.0b (52.5%)

Compiler

Compiled 19431 to 15143 computations (22.1% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`distribute-rgt-neg-in_binary64`
14×	`cancel-sign-sub-inv_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-neg-in_binary64`
11×	`*-commutative_binary64`
10×	`sub-neg_binary64` `distribute-neg-in_binary64` `+-commutative_binary64`
6×	`distribute-lft-neg-out_binary64`
5×	`distribute-rgt-neg-out_binary64`
4×	`remove-double-neg_binary64`
3×	`unsub-neg_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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	39	30
2	63	30
3	82	28
4	104	28
5	119	28
6	127	28
7	129	28
8	123	28

end1.0ms (0%)

Compiler: Compiled 18 to 14 computations (22.2% saved)

sample743.0ms (19.9%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 108 to 90 computations (16.7% saved)

Details

analyze205.0ms (5.5%)

sample20.0ms (0.5%)

simplify193.0ms (5.2%)

prune10.0ms (0.3%)

localize11.0ms (0.3%)

rewrite182.0ms (4.9%)

series102.0ms (2.7%)

simplify144.0ms (3.8%)

prune141.0ms (3.8%)

localize23.0ms (0.6%)

rewrite237.0ms (6.3%)

series104.0ms (2.8%)

simplify112.0ms (3%)

prune87.0ms (2.3%)

localize12.0ms (0.3%)

rewrite159.0ms (4.3%)

series97.0ms (2.6%)

simplify116.0ms (3.1%)

prune105.0ms (2.8%)

regimes931.0ms (24.9%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end1.0ms (0%)

sample743.0ms (19.9%)

Profiling