Details

analyze286.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

752×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
406×	`unsub-neg_binary64`
389×	`sub-neg_binary64`
376×	`neg-sub0_binary64`
373×	`distribute-rgt-out--_binary64`
362×	`neg-mul-1_binary64`
335×	`distribute-neg-in_binary64`
244×	`*-commutative_binary64`
218×	`div-sub_binary64`
201×	`distribute-lft-neg-out_binary64`
198×	`distribute-rgt-neg-out_binary64`
172×	`associate--r+_binary64`
158×	`+-commutative_binary64`
156×	`times-frac_binary64`
138×	`associate-/l/_binary64`
137×	`associate--l+_binary64`
136×	`associate-+l+_binary64`
133×	`associate-+l-_binary64`
132×	`cancel-sign-sub-inv_binary64`
127×	`distribute-neg-out_binary64`
123×	`associate-+r+_binary64`
117×	`distribute-rgt-neg-in_binary64`
116×	`associate-/r/_binary64`
114×	`distribute-rgt-out_binary64`
107×	`associate--r-_binary64`
100×	`distribute-lft-neg-in_binary64`
98×	`associate--l-_binary64`
93×	`associate-/l*_binary64`
91×	`associate-/r*_binary64`
82×	`associate-+r-_binary64`
75×	`log-div_binary64`
55×	`log-prod_binary64` `distribute-rgt1-in_binary64`
51×	`count-2_binary64`
45×	`associate-l_binary64`
42×	`distribute-neg-frac_binary64`
39×	`associate-r_binary64`
38×	`cancel-sign-sub_binary64`
23×	`+-lft-identity_binary64`
22×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`remove-double-neg_binary64`
20×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
18×	`sub0-neg_binary64`
16×	`--rgt-identity_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
14×	`+-rgt-identity_binary64`
13×	`log-rec_binary64`
12×	`mul0-rgt_binary64` `distribute-lft1-in_binary64`
11×	`distribute-frac-neg_binary64`
10×	`div0_binary64`
8×	`mul-1-neg_binary64`
6×	`mul0-lft_binary64`
3×	`/-rgt-identity_binary64`
2×	`+-inverses_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64` `*-inverses_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` `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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	15
2	26	15
3	40	15
4	60	15
5	81	15
6	117	15
7	201	15
8	367	15
9	492	15
10	574	15
11	566	15
12	611	15
13	681	15
14	841	15
15	1728	15
16	1773	15
17	2096	15
18	2397	15
19	2485	15
20	2514	15
21	2528	15
22	2528	15
23	2718	15
24	2796	15
25	2932	15
26	3066	15
27	3050	15
28	3062	15
29	3066	15
30	4296	15
31	4506	15
32	4713	15
0	1	1
1	1	1

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample83.0ms (1.7%)

Algorithm

1×

intervals

Results

45.0ms	120×	body	1024	valid
15.0ms	68×	body	512	valid
9.0ms	30×	body	256	valid
4.0ms	8×	body	2048	valid
2.0ms	30×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify268.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

752×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`
406×	`unsub-neg_binary64`
389×	`sub-neg_binary64`
376×	`neg-sub0_binary64`
373×	`distribute-rgt-out--_binary64`
362×	`neg-mul-1_binary64`
335×	`distribute-neg-in_binary64`
244×	`*-commutative_binary64`
218×	`div-sub_binary64`
201×	`distribute-lft-neg-out_binary64`
198×	`distribute-rgt-neg-out_binary64`
172×	`associate--r+_binary64`
158×	`+-commutative_binary64`
156×	`times-frac_binary64`
138×	`associate-/l/_binary64`
137×	`associate--l+_binary64`
136×	`associate-+l+_binary64`
133×	`associate-+l-_binary64`
132×	`cancel-sign-sub-inv_binary64`
127×	`distribute-neg-out_binary64`
123×	`associate-+r+_binary64`
117×	`distribute-rgt-neg-in_binary64`
116×	`associate-/r/_binary64`
114×	`distribute-rgt-out_binary64`
107×	`associate--r-_binary64`
100×	`distribute-lft-neg-in_binary64`
98×	`associate--l-_binary64`
93×	`associate-/l*_binary64`
91×	`associate-/r*_binary64`
82×	`associate-+r-_binary64`
75×	`log-div_binary64`
55×	`log-prod_binary64` `distribute-rgt1-in_binary64`
51×	`count-2_binary64`
45×	`associate-l_binary64`
42×	`distribute-neg-frac_binary64`
39×	`associate-r_binary64`
38×	`cancel-sign-sub_binary64`
23×	`+-lft-identity_binary64`
22×	`-rgt-identity_binary64` `-lft-identity_binary64`
21×	`remove-double-neg_binary64`
20×	`distribute-lft-out--_binary64` `associate-*l/_binary64`
18×	`sub0-neg_binary64`
16×	`--rgt-identity_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
14×	`+-rgt-identity_binary64`
13×	`log-rec_binary64`
12×	`mul0-rgt_binary64` `distribute-lft1-in_binary64`
11×	`distribute-frac-neg_binary64`
10×	`div0_binary64`
8×	`mul-1-neg_binary64`
6×	`mul0-lft_binary64`
3×	`/-rgt-identity_binary64`
2×	`+-inverses_binary64` `remove-double-div_binary64`
1×	`1-exp_binary64` `*-inverses_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` `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` `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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	20	15
2	26	15
3	40	15
4	60	15
5	81	15
6	117	15
7	201	15
8	367	15
9	492	15
10	574	15
11	566	15
12	611	15
13	681	15
14	841	15
15	1728	15
16	1773	15
17	2096	15
18	2397	15
19	2485	15
20	2514	15
21	2528	15
22	2528	15
23	2718	15
24	2796	15
25	2932	15
26	3066	15
27	3050	15
28	3062	15
29	3066	15
30	4296	15
31	4506	15
32	4713	15

prune3.0ms (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

56.8b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite158.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

56.6b

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`associate-/r/_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64` `div-exp_binary64` `rem-log-exp_binary64` `add-log-exp_binary64` `associate-/l/_binary64`
1×	`log-pow_binary64` `log-div_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 1372 to 1094 computations (20.3% saved)

series32.0ms (0.6%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

12.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 315 to 293 computations (7% saved)

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

506×	`div-sub_binary64`
437×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`
329×	`associate-/l*_binary64`
229×	`sub-neg_binary64`
189×	`associate-/l/_binary64`
165×	`log-div_binary64`
139×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-out_binary64` `associate-/r/_binary64`
105×	`times-frac_binary64`
103×	`div-exp_binary64` `associate-l_binary64`
95×	`prod-exp_binary64` `associate-r_binary64`
92×	`associate-+l+_binary64`
84×	`+-commutative_binary64`
82×	`log-prod_binary64`
73×	`*-commutative_binary64`
71×	`distribute-rgt-neg-out_binary64`
70×	`unsub-neg_binary64`
67×	`associate-/r*_binary64`
62×	`associate-+r+_binary64`
57×	`distribute-lft-neg-out_binary64` `associate--l-_binary64`
48×	`associate-+l-_binary64`
43×	`distribute-lft-out_binary64`
42×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
41×	`neg-mul-1_binary64`
40×	`log-rec_binary64`
38×	`associate-+r-_binary64`
37×	`cube-prod_binary64`
33×	`distribute-lft-neg-in_binary64`
32×	`exp-sum_binary64`
29×	`sqr-pow_binary64` `associate--l+_binary64`
26×	`exp-prod_binary64`
25×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`
24×	`cube-div_binary64`
23×	`associate-*l/_binary64`
22×	`rec-exp_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64`
20×	`associate-*r/_binary64`
19×	`*-rgt-identity_binary64`
18×	`exp-diff_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64`
16×	`cube-unmult_binary64` `*-lft-identity_binary64`
13×	`distribute-neg-in_binary64`
11×	`swap-sqr_binary64`
10×	`unpow3_binary64` `distribute-lft1-in_binary64`
7×	`+-rgt-identity_binary64` `cancel-sign-sub_binary64` `count-2_binary64`
6×	`sqr-neg_binary64` `distribute-frac-neg_binary64`
5×	`rem-exp-log_binary64` `sub0-neg_binary64` `remove-double-div_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
3×	`pow-plus_binary64` `cube-neg_binary64` `mul-1-neg_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
2×	`exp-to-pow_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`

Counts

105 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	2071
1	325	1979
2	757	1931
3	1995	1927
4	4256	1927
5	5617	1927

prune54.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Error

0.0b

Counts

93 → 4

Compiler

Compiled 1164 to 920 computations (21% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/3 (pow.f64 x 3))

rewrite92.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`cube-prod_binary64` `sqr-pow_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 2/3 (pow.f64 x 3))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))

Compiler

Compiled 1452 to 1086 computations (25.2% saved)

series44.0ms (0.9%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

22.0ms	(+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))
10.0ms	(*.f64 2/5 (pow.f64 x 5))
9.0ms	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 378 to 307 computations (18.8% saved)

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

570×	`unswap-sqr_binary64`
494×	`cancel-sign-sub-inv_binary64`
330×	`*-commutative_binary64`
217×	`sqr-pow_binary64`
204×	`distribute-rgt-neg-in_binary64`
190×	`distribute-lft-neg-in_binary64`
180×	`distribute-rgt-in_binary64`
164×	`log-prod_binary64`
163×	`distribute-lft-in_binary64`
162×	`exp-prod_binary64`
150×	`associate-+l+_binary64`
146×	`associate-+r+_binary64`
139×	`cube-prod_binary64`
103×	`associate-l_binary64`
101×	`associate-r_binary64`
90×	`sub-neg_binary64`
86×	`neg-mul-1_binary64`
82×	`neg-sub0_binary64`
61×	`pow-sqr_binary64`
60×	`distribute-rgt-out_binary64`
59×	`swap-sqr_binary64`
45×	`rem-sqrt-square_binary64`
42×	`unsub-neg_binary64`
38×	`associate-/l*_binary64`
35×	`unpow3_binary64`
32×	`+-commutative_binary64`
30×	`difference-of-squares_binary64`
29×	`times-frac_binary64`
27×	`log-pow_binary64`
26×	`pow-plus_binary64`
24×	`associate-/r*_binary64`
22×	`distribute-rgt-out--_binary64`
20×	`cube-mult_binary64`
18×	`cube-unmult_binary64`
15×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
12×	`sub0-neg_binary64` `distribute-lft-out_binary64`
11×	`distribute-neg-in_binary64` `associate-+r-_binary64`
10×	`associate-/l/_binary64` `associate-*r/_binary64`
8×	`count-2_binary64` `associate-/r/_binary64`
7×	`+-rgt-identity_binary64`
5×	`mul0-rgt_binary64` `mul0-lft_binary64`
4×	`exp-sum_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `distribute-lft-out--_binary64`
1×	`unpow1/3_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt-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-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/2_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

79 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	972
1	260	908
2	715	908
3	1426	908
4	3692	897
5	5320	897

prune29.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

0.0b

Counts

40 → 4

Compiler

Compiled 578 to 426 computations (26.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
7.5b	(log.f64 (-.f64 1 x))
7.5b	(log.f64 (+.f64 x 1))

rewrite71.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64`
8×	`log-div_binary64` `add-cube-cbrt_binary64`
7×	`log-pow_binary64`
6×	`distribute-lft-out--_binary64` `associate--r+_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64`
3×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`diff-log_binary64` `sub-neg_binary64`

Counts

3 → 66

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1053 to 861 computations (18.2% saved)

series50.0ms (1%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

14.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
12.0ms	(log.f64 (-.f64 1 x))
11.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 687 to 594 computations (13.5% saved)

simplify148.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

352×	`distribute-rgt-in_binary64`
281×	`distribute-lft-in_binary64`
241×	`associate-+l+_binary64`
236×	`sub-neg_binary64`
218×	`associate--r+_binary64`
201×	`neg-mul-1_binary64`
197×	`associate-+l-_binary64`
153×	`associate-r_binary64`
147×	`associate-l_binary64`
129×	`distribute-rgt-out_binary64`
120×	`distribute-rgt-neg-in_binary64`
116×	`associate-+r-_binary64`
109×	`associate--r-_binary64`
106×	`distribute-lft-neg-in_binary64`
97×	`distribute-lft-out_binary64`
96×	`+-commutative_binary64`
95×	`associate--l+_binary64`
89×	`unsub-neg_binary64`
78×	`*-commutative_binary64`
75×	`log-prod_binary64`
74×	`distribute-neg-in_binary64`
73×	`distribute-rgt-out--_binary64`
72×	`cancel-sign-sub-inv_binary64`
58×	`distribute-lft-out--_binary64`
56×	`neg-sub0_binary64`
51×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
48×	`distribute-rgt-neg-out_binary64`
45×	`associate--l-_binary64`
43×	`sqr-pow_binary64`
38×	`sub0-neg_binary64`
34×	`log-pow_binary64` `unswap-sqr_binary64`
31×	`exp-sum_binary64`
28×	`log-div_binary64`
24×	`exp-prod_binary64`
23×	`unpow3_binary64`
22×	`times-frac_binary64`
21×	`+-rgt-identity_binary64`
19×	`distribute-rgt1-in_binary64`
18×	`exp-diff_binary64`
17×	`pow-plus_binary64` `div-sub_binary64`
16×	`cube-unmult_binary64`
14×	`swap-sqr_binary64`
12×	`cube-prod_binary64`
11×	`difference-of-squares_binary64` `associate-/r*_binary64`
9×	`cancel-sign-sub_binary64`
8×	`log-rec_binary64` `mul-1-neg_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l*_binary64`
6×	`sqr-neg_binary64` `rem-sqrt-square_binary64` `count-2_binary64`
5×	`-rgt-identity_binary64` `-lft-identity_binary64` `distribute-neg-out_binary64`
4×	`--rgt-identity_binary64`
3×	`rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
2×	`rec-exp_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `distribute-neg-frac_binary64` `associate-*l/_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `associate-/r/_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64`

Counts

86 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1229
1	330	1163
2	699	1153
3	1842	1139
4	4682	1139
5	4913	1139
6	4995	1139
7	4876	1139

prune33.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	45	4	49

Error

0.0b

Counts

49 → 4

Compiler

Compiled 686 to 541 computations (21.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (log.f64 (+.f64 x 1)) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))
7.5b	(log.f64 (-.f64 1 x))
7.5b	(log.f64 (+.f64 x 1))

rewrite80.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`cbrt-prod_binary64`
12×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`log-prod_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-pow_binary64`
5×	`add-cbrt-cube_binary64`
4×	`log-div_binary64` `add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`rem-log-exp_binary64` `difference-of-squares_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64`

Counts

4 → 80

Calls

4 calls:

3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 x 1))
2.0ms	(pow.f64 (log.f64 (+.f64 x 1)) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))

Compiler

Compiled 1290 to 1108 computations (14.1% saved)

series76.0ms (1.5%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

18.0ms	(pow.f64 (log.f64 (+.f64 x 1)) 3)
13.0ms	(log.f64 (-.f64 1 x))
12.0ms	(log.f64 (+.f64 x 1))
10.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))

Compiler

Compiled 1264 to 1097 computations (13.2% saved)

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

541×	`times-frac_binary64`
487×	`associate-l_binary64`
447×	`associate-r_binary64`
310×	`log-prod_binary64`
271×	`exp-prod_binary64`
243×	`unswap-sqr_binary64`
239×	`cube-prod_binary64`
109×	`cancel-sign-sub-inv_binary64`
97×	`*-commutative_binary64`
82×	`distribute-rgt-in_binary64`
63×	`sub-neg_binary64` `+-commutative_binary64`
60×	`associate-+l+_binary64`
59×	`distribute-rgt-neg-in_binary64`
56×	`sqr-pow_binary64`
53×	`distribute-lft-in_binary64`
51×	`associate-+l-_binary64`
49×	`distribute-lft-neg-in_binary64`
45×	`associate-+r+_binary64`
44×	`associate--r+_binary64`
40×	`associate-+r-_binary64`
39×	`distribute-neg-in_binary64`
33×	`pow-plus_binary64`
32×	`neg-sub0_binary64` `swap-sqr_binary64`
31×	`log-pow_binary64`
30×	`associate--l+_binary64`
29×	`cube-unmult_binary64` `unsub-neg_binary64`
27×	`neg-mul-1_binary64` `associate-/l*_binary64`
25×	`unpow3_binary64` `distribute-rgt-out_binary64`
18×	`associate-/r*_binary64`
15×	`rem-sqrt-square_binary64`
14×	`associate--r-_binary64`
13×	`cube-mult_binary64` `distribute-lft-out_binary64`
12×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
11×	`exp-to-pow_binary64` `pow-sqr_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`distribute-rgt1-in_binary64`
7×	`log-div_binary64` `distribute-lft-out--_binary64`
6×	`div-sub_binary64`
5×	`mul-1-neg_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64`
4×	`rem-log-exp_binary64` `rem-cbrt-cube_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `associate-l/_binary64` `associate-r/_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `cube-div_binary64` `cube-neg_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `exp-sum_binary64` `rem-exp-log_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

108 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1361
1	322	1240
2	819	1202
3	3278	1202
4	4944	1202

prune36.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

0.0b

Counts

77 → 4

Compiler

Compiled 822 to 657 computations (20.1% saved)

regimes441.0ms (8.8%)

Accuracy

Total 0.2b remaining (94.4%)

Threshold costs 0.2b (94.4%)

Compiler

Compiled 6018 to 5380 computations (10.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	20	25
2	20	25

end1.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

sample2.7s (53.8%)

Algorithm

1×

intervals

Results

1.5s	3966×	body	1024	valid
450.0ms	2058×	body	512	valid
210.0ms	379×	body	2048	valid
120.0ms	966×	body	256	valid
39.0ms	631×	body	128	valid

Compiler

Compiled 102 to 91 computations (10.8% saved)

Details

analyze286.0ms (5.7%)

sample83.0ms (1.7%)

simplify268.0ms (5.4%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite158.0ms (3.2%)

series32.0ms (0.6%)

simplify122.0ms (2.4%)

prune54.0ms (1.1%)

localize11.0ms (0.2%)

rewrite92.0ms (1.8%)

series44.0ms (0.9%)

simplify79.0ms (1.6%)

prune29.0ms (0.6%)

localize8.0ms (0.2%)

rewrite71.0ms (1.4%)

series50.0ms (1%)

simplify148.0ms (2.9%)

prune33.0ms (0.7%)

localize11.0ms (0.2%)

rewrite80.0ms (1.6%)

series76.0ms (1.5%)

simplify87.0ms (1.7%)

prune36.0ms (0.7%)

regimes441.0ms (8.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.7s (53.8%)

Profiling