Details

analyze1.2s (9.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

858×	`div-sub_binary64`
819×	`sub-neg_binary64`
386×	`neg-mul-1_binary64` `unsub-neg_binary64`
346×	`associate-/l*_binary64`
295×	`cancel-sign-sub-inv_binary64`
261×	`distribute-rgt-in_binary64`
244×	`neg-sub0_binary64`
240×	`times-frac_binary64`
208×	`distribute-frac-neg_binary64`
185×	`associate-/r*_binary64`
166×	`+-commutative_binary64`
120×	`distribute-lft-in_binary64`
106×	`associate-+r+_binary64`
101×	`associate-+l+_binary64`
87×	`associate--r+_binary64`
86×	`distribute-neg-in_binary64`
83×	`distribute-rgt-neg-in_binary64`
81×	`distribute-rgt-neg-out_binary64`
77×	`*-commutative_binary64`
75×	`distribute-lft-neg-in_binary64`
73×	`associate-/r/_binary64`
61×	`distribute-lft-neg-out_binary64`
56×	`associate-+l-_binary64`
47×	`associate-+r-_binary64`
45×	`sub0-neg_binary64`
42×	`associate-*l/_binary64`
40×	`associate-r_binary64` `associate--r-_binary64`
38×	`distribute-neg-frac_binary64`
35×	`associate-*r/_binary64`
26×	`+-rgt-identity_binary64`
25×	`associate-l_binary64`
22×	`div0_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`distribute-rgt-out--_binary64`
11×	`remove-double-neg_binary64`
8×	`mul-1-neg_binary64`
7×	`+-lft-identity_binary64` `distribute-rgt-out_binary64`
6×	`associate--l+_binary64`
4×	`*-lft-identity_binary64` `distribute-neg-out_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` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_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-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	209
1	122	209
2	250	209
3	493	209
4	1048	209
5	2045	209
6	4212	209
7	5265	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	248×	body	128	valid
1.0ms	16×	body	128	invalid
1.0ms	3×	body	1024	valid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify136.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1521×	`div-sub_binary64`
653×	`distribute-rgt-in_binary64`
513×	`distribute-lft-in_binary64`
427×	`times-frac_binary64`
338×	`sub-neg_binary64`
297×	`associate-/l*_binary64`
266×	`distribute-neg-frac_binary64`
236×	`distribute-rgt-neg-in_binary64`
231×	`associate-/r*_binary64`
204×	`cancel-sign-sub-inv_binary64`
193×	`associate-/l/_binary64`
189×	`associate-/r/_binary64` `*-commutative_binary64`
187×	`distribute-lft-neg-in_binary64`
166×	`distribute-lft-neg-out_binary64`
161×	`neg-mul-1_binary64`
137×	`neg-sub0_binary64`
136×	`distribute-rgt-neg-out_binary64` `associate-*l/_binary64`
113×	`unsub-neg_binary64` `distribute-frac-neg_binary64`
103×	`associate--r+_binary64`
78×	`cancel-sign-sub_binary64` `distribute-neg-in_binary64`
76×	`associate-r_binary64`
73×	`associate-*r/_binary64`
71×	`+-commutative_binary64`
60×	`associate--r-_binary64`
57×	`associate-l_binary64`
43×	`associate-+l+_binary64`
39×	`associate-+l-_binary64` `associate-+r+_binary64`
35×	`associate--l+_binary64`
31×	`remove-double-neg_binary64`
27×	`*-lft-identity_binary64` `associate--l-_binary64`
24×	`associate-+r-_binary64`
21×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
20×	`sub0-neg_binary64`
18×	`mul0-rgt_binary64`
17×	`div0_binary64` `distribute-rgt-out--_binary64`
16×	`*-rgt-identity_binary64` `mul0-lft_binary64` `distribute-neg-out_binary64`
14×	`+-lft-identity_binary64`
13×	`/-rgt-identity_binary64`
11×	`+-rgt-identity_binary64`
7×	`--rgt-identity_binary64` `remove-double-div_binary64`
5×	`mul-1-neg_binary64`
4×	`distribute-lft-out--_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` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	19
2	44	19
3	83	19
4	154	19
5	264	19
6	565	19
7	1302	19
8	2510	19
9	2552	19
10	2685	19
11	2748	19
12	2813	19
13	2836	19
14	4302	19
15	5048	19

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

1 → 1

Compiler

Compiled 13 to 13 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite113.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-r*_binary64`
4×	`associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

3 → 70

Calls

3 calls:

10.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
9.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
7.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1409 to 703 computations (50.1% saved)

series273.0ms (2.1%)

Error

0.1b

Counts

3 → 80

Calls

3 calls:

126.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
88.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
21.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 3242 to 2650 computations (18.3% saved)

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

745×	`times-frac_binary64`
400×	`cancel-sign-sub-inv_binary64`
338×	`div-sub_binary64`
226×	`sub-neg_binary64`
121×	`*-commutative_binary64`
115×	`exp-prod_binary64`
114×	`distribute-rgt-neg-in_binary64` `associate-/l*_binary64`
101×	`+-commutative_binary64`
97×	`distribute-lft-neg-in_binary64`
80×	`associate-r_binary64`
72×	`associate--l+_binary64`
70×	`associate-l_binary64`
66×	`neg-sub0_binary64` `distribute-lft-out--_binary64`
65×	`neg-mul-1_binary64`
59×	`distribute-rgt-out_binary64` `associate-+l+_binary64`
58×	`associate--r+_binary64`
57×	`distribute-neg-frac_binary64`
54×	`distribute-neg-in_binary64`
53×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
50×	`associate-*r/_binary64`
48×	`distribute-lft-neg-out_binary64`
47×	`associate-*l/_binary64`
45×	`associate-+r+_binary64`
44×	`sqr-pow_binary64` `associate-/r*_binary64`
37×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
31×	`unsub-neg_binary64`
24×	`associate-/r/_binary64`
23×	`exp-sum_binary64` `distribute-rgt-out--_binary64`
22×	`unswap-sqr_binary64`
21×	`exp-diff_binary64` `distribute-lft-out_binary64`
19×	`unpow3_binary64`
18×	`associate-/l/_binary64`
15×	`cube-div_binary64`
14×	`log-div_binary64`
13×	`cube-mult_binary64`
11×	`log-prod_binary64`
9×	`exp-neg_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
8×	`*-rgt-identity_binary64`
6×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
5×	`remove-double-neg_binary64`
4×	`rem-sqrt-square_binary64`
3×	`/-rgt-identity_binary64` `cancel-sign-sub_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-neg_binary64` `sqr-neg_binary64` `pow-sqr_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `+-rgt-identity_binary64` `div0_binary64` `distribute-frac-neg_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-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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-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` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

150 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3240
1	692	3057
2	2263	2895
3	4477	2895
4	5162	2895

prune52.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	7	95

Error

0.0b

Counts

95 → 7

Compiler

Compiled 1111 to 583 computations (47.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite148.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-l_binary64` `flip3--_binary64` `flip--_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

14.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
11.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2158 to 802 computations (62.8% saved)

series318.0ms (2.4%)

Error

0.0b

Counts

3 → 98

Calls

3 calls:

126.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
89.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
72.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 4201 to 3332 computations (20.7% saved)

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-rgt-in_binary64`
445×	`times-frac_binary64`
429×	`cancel-sign-sub-inv_binary64`
286×	`sub-neg_binary64`
117×	`*-commutative_binary64`
114×	`+-commutative_binary64`
107×	`associate-/l*_binary64`
99×	`distribute-rgt-neg-in_binary64`
96×	`associate--l+_binary64`
88×	`distribute-neg-in_binary64`
86×	`distribute-lft-neg-in_binary64`
85×	`associate-*r/_binary64`
84×	`associate--r+_binary64`
83×	`associate-+l+_binary64`
76×	`neg-sub0_binary64`
74×	`neg-mul-1_binary64`
73×	`distribute-neg-frac_binary64`
71×	`associate-r_binary64`
67×	`div-sub_binary64`
63×	`associate-l/_binary64` `associate-l*_binary64`
61×	`distribute-lft-in_binary64` `associate-+r+_binary64`
50×	`distribute-rgt-out_binary64`
45×	`associate-/r*_binary64`
44×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
38×	`distribute-lft-out_binary64` `associate-/l/_binary64`
35×	`sqr-pow_binary64`
32×	`distribute-rgt-neg-out_binary64`
28×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
20×	`associate-/r/_binary64`
15×	`exp-prod_binary64`
14×	`exp-sum_binary64`
12×	`unswap-sqr_binary64`
10×	`*-rgt-identity_binary64`
7×	`log-div_binary64` `unpow3_binary64` `exp-diff_binary64` `cube-prod_binary64` `/-rgt-identity_binary64`
6×	`cube-mult_binary64` `cube-div_binary64` `distribute-rgt1-in_binary64`
5×	`difference-of-squares_binary64`
4×	`swap-sqr_binary64` `associate-+l-_binary64`
3×	`cube-unmult_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
2×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `*-lft-identity_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-neg-out_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-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `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-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

211 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	5047
1	796	4825
2	2572	4534
3	5269	4534

prune52.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Error

0.0b

Counts

126 → 8

Compiler

Compiled 1214 to 618 computations (49.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))

rewrite137.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`pow1/3_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
8×	`associate-l_binary64` `associate-r_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2854 to 808 computations (71.7% saved)

series146.0ms (1.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

41.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
28.0ms	(cbrt.f64 (-.f64 x y))
27.0ms	(cbrt.f64 (-.f64 x y))
26.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2640 to 2041 computations (22.7% saved)

simplify172.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

353×	`unswap-sqr_binary64`
350×	`associate-l_binary64` `associate-r_binary64`
278×	`distribute-rgt-neg-in_binary64`
275×	`distribute-lft-neg-in_binary64`
245×	`cancel-sign-sub-inv_binary64`
202×	`distribute-rgt-in_binary64`
192×	`distribute-lft-in_binary64`
141×	`*-commutative_binary64`
126×	`exp-sum_binary64`
91×	`sqr-pow_binary64`
88×	`exp-prod_binary64`
83×	`div-sub_binary64`
78×	`log-prod_binary64`
69×	`associate-+r+_binary64`
67×	`sub-neg_binary64`
65×	`associate-+l+_binary64`
55×	`exp-diff_binary64`
52×	`neg-sub0_binary64`
48×	`cube-prod_binary64`
46×	`neg-mul-1_binary64`
43×	`+-commutative_binary64`
35×	`swap-sqr_binary64`
34×	`cube-unmult_binary64`
33×	`distribute-rgt-neg-out_binary64`
31×	`distribute-lft-neg-out_binary64`
25×	`unpow3_binary64` `associate-+r-_binary64`
23×	`log-pow_binary64` `*-rgt-identity_binary64`
22×	`pow-plus_binary64` `*-lft-identity_binary64`
21×	`associate--r+_binary64`
19×	`distribute-rgt-out_binary64` `associate-/r*_binary64`
18×	`unsub-neg_binary64`
17×	`rem-sqrt-square_binary64`
16×	`associate-/l*_binary64` `associate--r-_binary64`
14×	`pow-sqr_binary64` `associate-+l-_binary64`
13×	`distribute-lft-out_binary64`
11×	`unpow1/3_binary64`
10×	`difference-of-squares_binary64`
9×	`log-div_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-/l/_binary64`
8×	`exp-to-pow_binary64` `distribute-neg-in_binary64`
7×	`times-frac_binary64`
6×	`unpow2_binary64` `distribute-rgt-out--_binary64` `associate-*r/_binary64`
5×	`unpow1/2_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `count-2_binary64`
4×	`prod-exp_binary64` `exp-neg_binary64` `sqr-neg_binary64` `associate-/r/_binary64` `associate--l+_binary64`
3×	`log-rec_binary64` `unpow1_binary64` `associate--l-_binary64`
2×	`cube-div_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `distribute-lft-out--_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `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` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

Counts

137 → 93

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	2094
1	261	2084
2	643	2003
3	1983	1983
4	4536	1815
5	4993	1815
6	5000	1815
7	4912	1815

prune75.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	93	8	101

Error

0.0b

Counts

101 → 8

Compiler

Compiled 1703 to 681 computations (60% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a))) (cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (*.f64 120 a))))
0.5b	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
0.5b	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
0.5b	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))

rewrite191.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 87

Calls

4 calls:

29.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a))) (cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (*.f64 120 a))))
12.0ms	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
11.0ms	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
11.0ms	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))

Compiler

Compiled 5307 to 2531 computations (52.3% saved)

series5.4s (40.6%)

Error

0.0b

Counts

4 → 132

Calls

4 calls:

3.0s	(.f64 (cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a))) (cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (*.f64 120 a))))
552.0ms	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
550.0ms	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))
550.0ms	(cbrt.f64 (+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 120 a)))

Compiler

Compiled 61101 to 43136 computations (29.4% saved)

simplify355.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

751×	`*-commutative_binary64`
378×	`associate-r_binary64`
240×	`associate-*r/_binary64`
238×	`associate-+r+_binary64`
218×	`associate-/l*_binary64`
179×	`times-frac_binary64` `associate-/r*_binary64`
61×	`sqr-pow_binary64`
50×	`sub-neg_binary64`
27×	`associate--l+_binary64`
25×	`unpow1/3_binary64`
23×	`cancel-sign-sub-inv_binary64`
19×	`associate--r+_binary64`
13×	`exp-prod_binary64`
11×	`unpow2_binary64`
8×	`log-div_binary64` `unpow3_binary64` `cube-mult_binary64`
7×	`associate-l_binary64`
4×	`distribute-lft-out_binary64` `associate-*l/_binary64`
3×	`log-rec_binary64`
2×	`cube-prod_binary64` `swap-sqr_binary64`
1×	`log-prod_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-rgt-in_binary64` `distribute-lft-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` `log-pow_binary64` `pow-base-0_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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

219 → 159

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1593	31537
1	5307	31537

prune402.0ms (3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	158	9	167

Error

0.0b

Counts

167 → 9

Compiler

Compiled 21240 to 11937 computations (43.8% saved)

regimes2.6s (19.7%)

Accuracy

Total 0.1b remaining (85.9%)

Threshold costs 0.1b (85.9%)

Compiler

Compiled 40997 to 31020 computations (24.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	20	19
2	28	19
3	32	19
4	34	19
5	34	19

end1.0ms (0%)

Compiler: Compiled 13 to 13 computations (0% saved)

sample1.1s (8.3%)

Algorithm

1×

intervals

Results

377.0ms	7866×	body	128	valid
28.0ms	629×	body	128	invalid
8.0ms	50×	body	1024	valid
8.0ms	37×	body	2048	valid
4.0ms	31×	body	512	valid
1.0ms	14×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 314 to 250 computations (20.4% saved)

Details

analyze1.2s (9.3%)

sample27.0ms (0.2%)

simplify136.0ms (1%)

prune1.0ms (0%)

localize11.0ms (0.1%)

rewrite113.0ms (0.9%)

series273.0ms (2.1%)

simplify130.0ms (1%)

prune52.0ms (0.4%)

localize11.0ms (0.1%)

rewrite148.0ms (1.1%)

series318.0ms (2.4%)

simplify137.0ms (1%)

prune52.0ms (0.4%)

localize15.0ms (0.1%)

rewrite137.0ms (1%)

series146.0ms (1.1%)

simplify172.0ms (1.3%)

prune75.0ms (0.6%)

localize16.0ms (0.1%)

rewrite191.0ms (1.4%)

series5.4s (40.6%)

simplify355.0ms (2.7%)

prune402.0ms (3%)

regimes2.6s (19.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.1s (8.3%)

Profiling