Details

analyze151.0ms (2.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

710×	`associate-/l*_binary64`
440×	`associate-*l/_binary64`
248×	`distribute-neg-frac_binary64`
242×	`associate-/l/_binary64`
236×	`associate-/r*_binary64`
226×	`distribute-rgt-neg-in_binary64`
224×	`cancel-sign-sub-inv_binary64`
222×	`distribute-lft-neg-in_binary64`
216×	`times-frac_binary64`
208×	`associate-/r/_binary64`
110×	`distribute-rgt-in_binary64`
108×	`distribute-lft-in_binary64`
102×	`div-sub_binary64`
100×	`associate-r_binary64`
84×	`associate-l_binary64`
60×	`neg-sub0_binary64` `*-commutative_binary64`
54×	`neg-mul-1_binary64`
46×	`distribute-lft-neg-out_binary64`
44×	`sub-neg_binary64` `distribute-rgt-neg-out_binary64`
20×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
18×	`associate-*r/_binary64`
13×	`-rgt-identity_binary64` `-lft-identity_binary64`
12×	`unsub-neg_binary64`
8×	`+-commutative_binary64`
6×	`sub0-neg_binary64` `associate-+l-_binary64`
2×	`difference-of-sqr-1_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	86
1	102	86
2	341	80
3	1570	80
4	4978	80
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
719×	`distribute-neg-frac_binary64`
509×	`associate-/r*_binary64`
353×	`associate-/l*_binary64`
343×	`div-sub_binary64`
266×	`neg-sub0_binary64`
252×	`neg-mul-1_binary64`
251×	`associate-l_binary64`
232×	`associate-r_binary64`
192×	`associate-*l/_binary64`
145×	`associate-*r/_binary64`
121×	`associate-/l/_binary64`
113×	`distribute-rgt-neg-in_binary64`
112×	`cancel-sign-sub-inv_binary64`
111×	`distribute-lft-neg-in_binary64`
91×	`*-commutative_binary64`
86×	`associate-/r/_binary64`
83×	`sub-neg_binary64`
68×	`unsub-neg_binary64`
55×	`distribute-rgt-in_binary64`
54×	`distribute-lft-in_binary64`
35×	`/-rgt-identity_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`div0_binary64`
16×	`*-rgt-identity_binary64`
15×	`*-lft-identity_binary64`
13×	`mul0-rgt_binary64` `mul0-lft_binary64`
10×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
9×	`+-commutative_binary64`
5×	`mul-1-neg_binary64` `sub0-neg_binary64`
4×	`associate-+l-_binary64`
3×	`associate-+l+_binary64`
1×	`1-exp_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `difference-of-sqr-1_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	40
3	803	40
4	3764	40
5	4802	40
6	4990	40

prune4.0ms (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 52 to 40 computations (23.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 v (.f64 -6 v))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.4b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite214.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow1_binary64`
16×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`sqrt-div_binary64` `associate-l_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64`
8×	`frac-times_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-*l/_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`sqrt-prod_binary64` `-commutative_binary64` `times-frac_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `unswap-sqr_binary64`

Counts

4 → 112

Calls

4 calls:

18.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
13.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
5.0ms	(.f64 v (.f64 -6 v))
3.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4193 to 2518 computations (39.9% saved)

series168.0ms (2.4%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

74.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
48.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
9.0ms	(*.f64 PI.f64 t)
9.0ms	(.f64 v (.f64 -6 v))

Compiler

Compiled 1995 to 1565 computations (21.6% saved)

simplify141.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-r_binary64`
532×	`times-frac_binary64`
495×	`associate-l_binary64`
385×	`associate-/r*_binary64`
228×	`associate-/l*_binary64`
113×	`*-commutative_binary64`
87×	`div-sub_binary64`
80×	`exp-prod_binary64`
65×	`distribute-rgt-in_binary64`
63×	`distribute-lft-in_binary64`
61×	`log-prod_binary64`
59×	`associate-*r/_binary64`
58×	`associate-*l/_binary64`
57×	`sub-neg_binary64`
54×	`cancel-sign-sub-inv_binary64`
45×	`cube-prod_binary64`
44×	`distribute-rgt-neg-in_binary64`
35×	`distribute-lft-neg-in_binary64`
34×	`+-commutative_binary64`
26×	`neg-sub0_binary64`
25×	`neg-mul-1_binary64`
24×	`swap-sqr_binary64`
22×	`sqr-pow_binary64`
21×	`associate-/r/_binary64`
19×	`distribute-neg-in_binary64`
16×	`associate-+r+_binary64`
12×	`distribute-lft-neg-out_binary64`
10×	`cube-unmult_binary64`
9×	`log-div_binary64`
8×	`*-lft-identity_binary64` `associate--r+_binary64`
7×	`cube-div_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
6×	`unpow3_binary64`
5×	`exp-sum_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64`
4×	`distribute-rgt-out--_binary64`
3×	`rem-square-sqrt_binary64`
2×	`pow-plus_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `unsub-neg_binary64` `/-rgt-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` `pow-sqr_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-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

136 → 116

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	342	4944
1	998	4303
2	4604	4303
3	4958	4303

prune126.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Error

0.0b

Counts

117 → 6

Compiler

Compiled 3216 to 1966 computations (38.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 6)
0.3b	(*.f64 t PI.f64)
0.4b	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite256.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64`
54×	`add-exp-log_binary64`
51×	`add-sqr-sqrt_binary64`
48×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
34×	`add-cbrt-cube_binary64`
30×	`sqrt-prod_binary64`
27×	`associate-/l*_binary64`
20×	`div-exp_binary64`
16×	`prod-exp_binary64`
13×	`pow1_binary64`
10×	`cbrt-undiv_binary64` `cbrt-unprod_binary64`
8×	`associate-/r/_binary64`
7×	`associate-/r*_binary64`
6×	`sqrt-div_binary64` `associate-r_binary64`
4×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `associate-l_binary64`
3×	`pow-flip_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-l/_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`inv-pow_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `associate-/l/_binary64`

Counts

4 → 164

Calls

4 calls:

15.0ms	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
9.0ms	(.f64 (.f64 v v) 6)
6.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
3.0ms	(*.f64 t PI.f64)

Compiler

Compiled 5794 to 3578 computations (38.2% saved)

series122.0ms (1.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

64.0ms	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
17.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
10.0ms	(*.f64 t PI.f64)
9.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1830 to 1403 computations (23.3% saved)

simplify187.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

284×	`associate-/r*_binary64`
254×	`times-frac_binary64`
244×	`cancel-sign-sub-inv_binary64`
228×	`associate-l_binary64` `associate-r_binary64`
218×	`distribute-rgt-neg-in_binary64`
198×	`distribute-rgt-in_binary64`
188×	`distribute-lft-neg-in_binary64`
186×	`associate-/l*_binary64`
185×	`distribute-lft-in_binary64`
152×	`*-commutative_binary64`
108×	`sub-neg_binary64`
77×	`+-commutative_binary64`
76×	`associate-/l/_binary64`
70×	`distribute-neg-frac_binary64` `associate-+r+_binary64`
66×	`log-prod_binary64`
63×	`associate-/r/_binary64`
58×	`log-div_binary64` `associate-*l/_binary64`
52×	`associate-*r/_binary64` `associate-+l+_binary64`
51×	`div-sub_binary64`
48×	`cube-div_binary64` `neg-sub0_binary64`
46×	`neg-mul-1_binary64`
41×	`sqr-pow_binary64`
35×	`exp-prod_binary64`
33×	`associate--l+_binary64`
32×	`*-rgt-identity_binary64`
30×	`/-rgt-identity_binary64`
27×	`cube-prod_binary64` `unswap-sqr_binary64`
24×	`distribute-neg-in_binary64`
22×	`distribute-lft-neg-out_binary64`
21×	`unpow3_binary64`
20×	`*-lft-identity_binary64` `swap-sqr_binary64`
19×	`cube-mult_binary64`
18×	`distribute-rgt-out_binary64`
17×	`unsub-neg_binary64`
14×	`associate--r+_binary64`
12×	`cube-unmult_binary64`
9×	`log-rec_binary64` `distribute-rgt-neg-out_binary64`
6×	`distribute-lft-out_binary64` `associate--l-_binary64`
5×	`pow-plus_binary64`
4×	`remove-double-div_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `associate-+r-_binary64`
2×	`log-pow_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `--rgt-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

185 → 124

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	5586
1	802	4967
2	3167	4901
3	4864	4901
4	4937	4901

prune109.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

Counts

130 → 7

Compiler

Compiled 2948 to 1911 computations (35.2% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 (.f64 v v) 12)))) (.f64 t PI.f64))
0.3b	(*.f64 t PI.f64)
0.4b	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 8 (.f64 (pow.f64 v 6) 216)))) (-.f64 1 (.f64 v v))) (/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 (.f64 v v) 12)))) (*.f64 t PI.f64)))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 v 6) 216))))

rewrite599.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

251×	`times-frac_binary64`
163×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
129×	`associate-l_binary64`
118×	`add-cube-cbrt_binary64`
75×	`add-exp-log_binary64`
71×	`sqrt-prod_binary64`
49×	`add-cbrt-cube_binary64`
48×	`difference-of-squares_binary64`
32×	`div-exp_binary64`
22×	`prod-exp_binary64`
18×	`cbrt-undiv_binary64`
14×	`sqrt-div_binary64` `associate-/r/_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
10×	`pow1_binary64` `associate-/l*_binary64`
9×	`div-inv_binary64`
7×	`flip3--_binary64` `flip--_binary64` `associate-/r*_binary64` `unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64` `add-log-exp_binary64`
3×	`pow-flip_binary64` `distribute-lft-out_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `*-commutative_binary64` `associate-/l/_binary64`
1×	`inv-pow_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 275

Calls

4 calls:

52.0ms	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 8 (.f64 (pow.f64 v 6) 216)))) (-.f64 1 (.f64 v v))) (/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 (.f64 v v) 12)))) (*.f64 t PI.f64)))
10.0ms	(/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 (.f64 v v) 12)))) (.f64 t PI.f64))
6.0ms	(/.f64 1 (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 v 6) 216))))
3.0ms	(*.f64 t PI.f64)

Compiler

Compiled 14695 to 10565 computations (28.1% saved)

series231.0ms (3.4%)

Error

Counts

4 → 29

Calls

4 calls:

93.0ms	(.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 8 (.f64 (pow.f64 v 6) 216)))) (-.f64 1 (.f64 v v))) (/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 (.f64 v v) 12)))) (*.f64 t PI.f64)))
56.0ms	(/.f64 (sqrt.f64 (+.f64 4 (+.f64 (.f64 (pow.f64 v 4) 36) (.f64 (.f64 v v) 12)))) (.f64 t PI.f64))
36.0ms	(/.f64 1 (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 v 6) 216))))
10.0ms	(*.f64 t PI.f64)

Compiler

Compiled 3070 to 2356 computations (23.3% saved)

simplify386.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-*l/_binary64`
391×	`associate-*r/_binary64`
385×	`associate-/r*_binary64`
381×	`times-frac_binary64`
291×	`associate-/l*_binary64`
214×	`associate-l_binary64`
206×	`associate-r_binary64`
128×	`*-commutative_binary64`
94×	`log-div_binary64`
71×	`log-prod_binary64`
68×	`sub-neg_binary64`
62×	`associate-/l/_binary64`
55×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
50×	`sqr-pow_binary64`
44×	`cancel-sign-sub-inv_binary64`
39×	`+-commutative_binary64`
38×	`unpow3_binary64`
36×	`*-lft-identity_binary64`
34×	`cube-prod_binary64`
33×	`/-rgt-identity_binary64`
32×	`*-rgt-identity_binary64`
28×	`distribute-rgt-neg-in_binary64`
26×	`exp-prod_binary64`
25×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
23×	`cube-div_binary64`
22×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
19×	`associate-+r+_binary64`
16×	`div-sub_binary64`
14×	`swap-sqr_binary64`
13×	`cube-unmult_binary64`
12×	`log-rec_binary64` `associate-+l-_binary64`
11×	`unsub-neg_binary64`
10×	`distribute-neg-in_binary64`
6×	`distribute-rgt-out_binary64`
5×	`cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64` `associate--l+_binary64`
4×	`rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64` `associate-+r-_binary64`
3×	`pow-sqr_binary64` `distribute-rgt1-in_binary64`
2×	`associate--l-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `unswap-sqr_binary64` `distribute-rgt-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` `log-E_binary64` `log-pow_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` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-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-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate-+l+_binary64`

Counts

304 → 260

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	14809
1	1293	13095
2	4604	13053
3	4877	13053
4	4940	13053

prune442.0ms (6.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	261	6	267

Error

Counts

267 → 6

Compiler

Compiled 10830 to 7782 computations (28.1% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 12 (.f64 v v))
0.2b	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (+.f64 4 (.f64 12 (.f64 v v))))) (.f64 t PI.f64))
0.3b	(*.f64 t PI.f64)
0.5b	(/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (+.f64 4 (.f64 12 (.f64 v v))))) (.f64 t PI.f64)) (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 v 6) 216))))

rewrite327.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`times-frac_binary64`
60×	`sqrt-prod_binary64`
57×	`add-sqr-sqrt_binary64`
54×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
11×	`pow1_binary64`
9×	`div-inv_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r*_binary64`
6×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64` `pow-prod-down_binary64` `associate-r_binary64`
3×	`associate-/l/_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 161

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (+.f64 4 (.f64 12 (.f64 v v))))) (.f64 t PI.f64)) (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 v 6) 216))))
10.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (+.f64 4 (.f64 12 (.f64 v v))))) (.f64 t PI.f64))
6.0ms	(.f64 12 (.f64 v v))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 8028 to 5596 computations (30.3% saved)

series182.0ms (2.7%)

Error

Counts

4 → 26

Calls

4 calls:

75.0ms	(/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (+.f64 4 (.f64 12 (.f64 v v))))) (.f64 t PI.f64)) (sqrt.f64 (-.f64 8 (*.f64 (pow.f64 v 6) 216))))
55.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 v 4) 36) (+.f64 4 (.f64 12 (.f64 v v))))) (.f64 t PI.f64))
12.0ms	(*.f64 t PI.f64)
11.0ms	(.f64 12 (.f64 v v))

Compiler

Compiled 2437 to 1847 computations (24.2% saved)

simplify261.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-*l/_binary64`
472×	`associate-*r/_binary64`
270×	`cancel-sign-sub-inv_binary64`
250×	`associate-/r/_binary64`
202×	`associate-/r*_binary64`
173×	`associate-r_binary64`
161×	`associate-l_binary64`
160×	`times-frac_binary64`
150×	`distribute-rgt-neg-in_binary64`
145×	`associate-/l/_binary64`
142×	`distribute-lft-neg-in_binary64`
139×	`*-commutative_binary64`
113×	`associate-/l*_binary64`
77×	`sub-neg_binary64`
64×	`distribute-rgt-in_binary64`
57×	`distribute-neg-frac_binary64`
54×	`log-prod_binary64`
53×	`distribute-lft-in_binary64`
48×	`+-commutative_binary64`
45×	`log-div_binary64`
44×	`neg-sub0_binary64`
42×	`neg-mul-1_binary64`
39×	`cube-div_binary64` `sqr-pow_binary64`
33×	`swap-sqr_binary64`
30×	`*-rgt-identity_binary64`
29×	`exp-prod_binary64` `associate-+l+_binary64`
25×	`cube-prod_binary64` `/-rgt-identity_binary64`
24×	`associate--l+_binary64`
22×	`unpow3_binary64` `associate-+r+_binary64`
20×	`unswap-sqr_binary64` `distribute-rgt-out_binary64`
18×	`distribute-neg-in_binary64`
17×	`cube-mult_binary64`
16×	`*-lft-identity_binary64`
14×	`unsub-neg_binary64` `distribute-lft-out_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`cube-unmult_binary64` `associate--r+_binary64`
11×	`distribute-lft-neg-out_binary64`
10×	`distribute-lft-out--_binary64`
9×	`div-sub_binary64`
6×	`pow-sqr_binary64`
5×	`log-rec_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64`
3×	`rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `mul-1-neg_binary64` `associate--l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `div0_binary64` `difference-of-squares_binary64` `distribute-neg-out_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-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

187 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	8847
1	757	8260
2	2587	8225
3	4892	8225
4	4930	8225

prune184.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	162	5	167

Error

Counts

167 → 5

Compiler

Compiled 5612 to 3904 computations (30.4% saved)

regimes1.6s (23.5%)

Accuracy

Total 0.3b remaining (95.6%)

Threshold costs 0.3b (95.6%)

Compiler

Compiled 34307 to 25598 computations (25.4% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
12×	`sub-neg_binary64` `+-commutative_binary64`
9×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
8×	`distribute-lft-neg-in_binary64`
6×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	46	55
2	67	55
3	89	55
4	103	55
5	110	55
6	112	55
7	109	55

end1.0ms (0%)

Compiler: Compiled 35 to 30 computations (14.3% saved)

sample988.0ms (14.4%)

Algorithm

1×

intervals

Results

523.0ms	8000×	body	128	valid
0.0ms	8×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 236 to 194 computations (17.8% saved)

Details

analyze151.0ms (2.2%)

sample26.0ms (0.4%)

simplify54.0ms (0.8%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite214.0ms (3.1%)

series168.0ms (2.4%)

simplify141.0ms (2.1%)

prune126.0ms (1.8%)

localize16.0ms (0.2%)

rewrite256.0ms (3.7%)

series122.0ms (1.8%)

simplify187.0ms (2.7%)

prune109.0ms (1.6%)

localize25.0ms (0.4%)

rewrite599.0ms (8.7%)

series231.0ms (3.4%)

simplify386.0ms (5.6%)

prune442.0ms (6.5%)

localize25.0ms (0.4%)

rewrite327.0ms (4.8%)

series182.0ms (2.7%)

simplify261.0ms (3.8%)

prune184.0ms (2.7%)

regimes1.6s (23.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample988.0ms (14.4%)

Profiling