Details

analyze1.2s (17%)

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 (0.4%)

Algorithm

1×

intervals

Results

10.0ms	253×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify138.0ms (2%)

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

0.4b

Counts

1 → 1

Compiler

Compiled 13 to 13 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.4b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite118.0ms (1.7%)

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` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 70

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
10.0ms	(/.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)

series223.0ms (3.3%)

Error

0.1b

Counts

3 → 62

Calls

3 calls:

106.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
65.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
21.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 2084 to 1784 computations (14.4% saved)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-/l*_binary64`
417×	`distribute-rgt-in_binary64`
399×	`distribute-lft-in_binary64`
369×	`times-frac_binary64`
141×	`associate-/l/_binary64`
133×	`cancel-sign-sub-inv_binary64`
120×	`exp-prod_binary64`
117×	`div-sub_binary64`
116×	`associate-/r/_binary64`
106×	`sub-neg_binary64`
97×	`*-commutative_binary64`
87×	`distribute-rgt-neg-in_binary64`
71×	`distribute-lft-neg-in_binary64`
61×	`associate-l_binary64`
59×	`associate-r_binary64`
55×	`+-commutative_binary64`
54×	`neg-sub0_binary64`
53×	`neg-mul-1_binary64`
47×	`distribute-lft-neg-out_binary64`
42×	`distribute-neg-frac_binary64`
39×	`sqr-pow_binary64` `associate-*r/_binary64`
37×	`distribute-rgt-neg-out_binary64`
35×	`associate-*l/_binary64`
24×	`associate-/r*_binary64`
21×	`associate--l+_binary64`
19×	`distribute-rgt-out_binary64`
18×	`unpow3_binary64`
15×	`log-div_binary64` `distribute-neg-in_binary64`
13×	`distribute-rgt-out--_binary64`
12×	`cube-div_binary64`
11×	`unsub-neg_binary64`
10×	`log-prod_binary64` `exp-sum_binary64` `cube-prod_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64` `associate--r+_binary64` `associate-+l+_binary64`
9×	`cube-mult_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
8×	`*-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`exp-diff_binary64`
5×	`remove-double-neg_binary64` `associate-+r+_binary64`
3×	`cube-unmult_binary64` `/-rgt-identity_binary64` `cancel-sign-sub_binary64`
2×	`exp-neg_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_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

132 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1974
1	525	1866
2	1527	1833
3	4939	1833
4	5001	1833

prune47.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Error

0.0b

Counts

77 → 7

Compiler

Compiled 815 to 437 computations (46.4% saved)

localize12.0ms (0.2%)

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)))

rewrite155.0ms (2.3%)

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:

15.0ms	(*.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)

series244.0ms (3.6%)

Error

0.0b

Counts

3 → 71

Calls

3 calls:

106.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
65.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
55.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2542 to 2118 computations (16.7% saved)

simplify139.0ms (2%)

Algorithm

1×	egg-herbie

Rules

674×	`times-frac_binary64`
576×	`distribute-rgt-in_binary64`
547×	`distribute-lft-in_binary64`
233×	`associate-/l*_binary64`
145×	`cancel-sign-sub-inv_binary64`
127×	`associate-/l/_binary64`
112×	`sub-neg_binary64`
97×	`associate-/r/_binary64`
93×	`*-commutative_binary64`
73×	`associate-*r/_binary64`
70×	`distribute-rgt-neg-in_binary64`
67×	`div-sub_binary64`
58×	`distribute-lft-neg-in_binary64`
57×	`neg-sub0_binary64`
55×	`neg-mul-1_binary64`
54×	`associate-l_binary64`
51×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
50×	`associate-r_binary64` `+-commutative_binary64`
43×	`distribute-lft-neg-out_binary64`
32×	`distribute-rgt-neg-out_binary64`
30×	`sqr-pow_binary64`
26×	`exp-prod_binary64`
25×	`associate-/r*_binary64`
24×	`associate--l+_binary64`
21×	`distribute-neg-in_binary64`
18×	`exp-sum_binary64` `distribute-rgt-out_binary64`
17×	`distribute-rgt-out--_binary64`
15×	`associate--r+_binary64`
14×	`cube-prod_binary64`
12×	`log-div_binary64` `associate-+l+_binary64`
11×	`unsub-neg_binary64`
10×	`unpow3_binary64` `exp-diff_binary64` `cube-div_binary64` `*-rgt-identity_binary64` `distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
8×	`unswap-sqr_binary64`
7×	`cube-mult_binary64` `/-rgt-identity_binary64`
6×	`log-prod_binary64`
4×	`cube-unmult_binary64` `sqr-neg_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
3×	`remove-double-neg_binary64` `associate--r-_binary64`
2×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-sqrt-square_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` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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

184 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	3205
1	581	3067
2	1673	3013
3	4816	3013
4	5618	3013

prune46.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Error

0.0b

Counts

99 → 7

Compiler

Compiled 842 to 425 computations (49.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (cbrt.f64 60)))
0.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (cbrt.f64 60))
1.0b	(*.f64 (cbrt.f64 60) (cbrt.f64 60))

rewrite262.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

99×	`add-sqr-sqrt_binary64`
81×	`*-un-lft-identity_binary64`
52×	`times-frac_binary64`
38×	`associate-l_binary64`
37×	`add-cube-cbrt_binary64`
34×	`add-exp-log_binary64`
25×	`pow1_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
21×	`cbrt-prod_binary64`
20×	`add-cbrt-cube_binary64`
16×	`prod-exp_binary64` `cbrt-unprod_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64`
8×	`unswap-sqr_binary64`
6×	`pow1/3_binary64` `swap-sqr_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
3×	`*-commutative_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `associate-*r/_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

4 → 174

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (cbrt.f64 60)))
16.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (cbrt.f64 60))
9.0ms	(*.f64 (cbrt.f64 60) (cbrt.f64 60))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 4174 to 2330 computations (44.2% saved)

series294.0ms (4.3%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

110.0ms	(.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (cbrt.f64 60)))
85.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (cbrt.f64 60))
62.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
0.0ms	(*.f64 (cbrt.f64 60) (cbrt.f64 60))

Compiler

Compiled 3391 to 2975 computations (12.3% saved)

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

467×	`distribute-rgt-in_binary64`
456×	`distribute-lft-in_binary64`
353×	`times-frac_binary64`
227×	`associate-r_binary64`
225×	`associate-l_binary64`
128×	`associate-/l*_binary64`
124×	`*-commutative_binary64`
98×	`cancel-sign-sub-inv_binary64`
97×	`sub-neg_binary64`
93×	`div-sub_binary64`
74×	`associate-*l/_binary64`
62×	`distribute-neg-frac_binary64`
57×	`associate-*r/_binary64`
52×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
47×	`distribute-lft-neg-in_binary64`
46×	`*-rgt-identity_binary64`
42×	`neg-mul-1_binary64` `+-commutative_binary64`
41×	`log-prod_binary64`
40×	`exp-prod_binary64`
36×	`sqr-pow_binary64`
33×	`*-lft-identity_binary64`
32×	`unswap-sqr_binary64` `associate-/r/_binary64`
30×	`distribute-lft-neg-out_binary64` `associate-/r*_binary64`
29×	`distribute-rgt-neg-out_binary64` `associate-/l/_binary64`
27×	`swap-sqr_binary64`
20×	`distribute-neg-in_binary64`
17×	`associate--r+_binary64`
16×	`/-rgt-identity_binary64`
14×	`cube-prod_binary64` `associate-+r+_binary64`
13×	`associate-+l+_binary64`
12×	`log-div_binary64` `unsub-neg_binary64` `associate--l+_binary64`
10×	`mul-1-neg_binary64`
9×	`distribute-lft-out--_binary64`
8×	`exp-sum_binary64` `distribute-lft-out_binary64`
7×	`cube-unmult_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
6×	`cube-div_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`pow-sqr_binary64` `associate-+r-_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
2×	`pow-plus_binary64` `exp-diff_binary64` `remove-double-neg_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `div0_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` `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-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-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-frac-neg_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

237 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4784
1	657	3997
2	2133	3701
3	5087	3701

prune106.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	165	6	171

Error

0.0b

Counts

171 → 6

Compiler

Compiled 2205 to 1237 computations (43.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite148.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-r_binary64` `associate-/r*_binary64`
4×	`flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 110

Calls

3 calls:

14.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
12.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
5.0ms	(/.f64 60 (-.f64 z t))

Compiler

Compiled 2273 to 1112 computations (51.1% saved)

series208.0ms (3.1%)

Error

0.0b

Counts

3 → 59

Calls

3 calls:

106.0ms	(+.f64 (.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y)) (.f64 a 120))
66.0ms	(*.f64 (/.f64 60 (-.f64 z t)) (-.f64 x y))
19.0ms	(/.f64 60 (-.f64 z t))

Compiler

Compiled 2132 to 1816 computations (14.8% saved)

simplify188.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

500×	`distribute-rgt-in_binary64`
476×	`distribute-lft-in_binary64`
311×	`associate-*l/_binary64`
246×	`associate-/l*_binary64`
137×	`cancel-sign-sub-inv_binary64`
124×	`*-commutative_binary64`
115×	`associate-l_binary64`
105×	`associate-/r*_binary64`
103×	`associate-r_binary64`
98×	`times-frac_binary64`
85×	`sub-neg_binary64`
81×	`distribute-rgt-neg-in_binary64`
69×	`exp-prod_binary64`
67×	`distribute-lft-neg-out_binary64`
66×	`distribute-lft-neg-in_binary64`
65×	`+-commutative_binary64`
60×	`distribute-rgt-neg-out_binary64`
56×	`associate-*r/_binary64`
53×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
39×	`sqr-pow_binary64`
36×	`div-sub_binary64`
35×	`associate-/r/_binary64`
31×	`exp-sum_binary64`
29×	`distribute-neg-frac_binary64`
28×	`associate-/l/_binary64`
26×	`distribute-rgt-out_binary64`
20×	`unpow3_binary64`
19×	`*-rgt-identity_binary64` `associate--l+_binary64`
18×	`log-div_binary64` `unswap-sqr_binary64` `distribute-lft-out_binary64`
17×	`log-prod_binary64` `exp-diff_binary64` `cube-prod_binary64` `*-lft-identity_binary64`
16×	`distribute-rgt-out--_binary64`
14×	`cube-div_binary64` `unsub-neg_binary64`
13×	`distribute-neg-in_binary64`
12×	`swap-sqr_binary64`
11×	`cube-mult_binary64` `distribute-lft-out--_binary64` `associate-+l+_binary64`
9×	`exp-neg_binary64` `associate--r+_binary64`
7×	`difference-of-squares_binary64` `associate-+r+_binary64`
5×	`cube-unmult_binary64`
3×	`log-rec_binary64` `/-rgt-identity_binary64` `associate-+r-_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_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` `unpow1/3_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_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-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

169 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2935
1	628	2698
2	1743	2665
3	4825	2665
4	4995	2665
5	4998	2665
6	4953	2665

prune59.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	105	6	111

Error

0.0b

Counts

111 → 6

Compiler

Compiled 1194 to 617 computations (48.3% saved)

regimes1.8s (26%)

Accuracy

Total 0.1b remaining (81.7%)

Threshold costs 0.1b (81.7%)

Compiler

Compiled 23632 to 20753 computations (12.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64` `*-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	21	19
2	29	19
3	33	19
4	35	19
5	35	19

end1.0ms (0%)

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

sample1.2s (17.4%)

Algorithm

1×

intervals

Results

569.0ms	7881×	body	128	valid
28.0ms	707×	body	128	invalid
11.0ms	44×	body	1024	valid
11.0ms	33×	body	2048	valid
3.0ms	27×	body	512	valid
1.0ms	13×	body	256	valid
0.0ms	2×	body	4096	valid

Compiler

Compiled 151 to 155 computations (-2.6% saved)

Details

analyze1.2s (17%)

sample27.0ms (0.4%)

simplify138.0ms (2%)

prune1.0ms (0%)

localize10.0ms (0.1%)

rewrite118.0ms (1.7%)

series223.0ms (3.3%)

simplify106.0ms (1.6%)

prune47.0ms (0.7%)

localize12.0ms (0.2%)

rewrite155.0ms (2.3%)

series244.0ms (3.6%)

simplify139.0ms (2%)

prune46.0ms (0.7%)

localize13.0ms (0.2%)

rewrite262.0ms (3.9%)

series294.0ms (4.3%)

simplify132.0ms (1.9%)

prune106.0ms (1.6%)

localize9.0ms (0.1%)

rewrite148.0ms (2.2%)

series208.0ms (3.1%)

simplify188.0ms (2.8%)

prune59.0ms (0.9%)

regimes1.8s (26%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.2s (17.4%)

Profiling