Details

analyze186.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

2334×	`associate--r-_binary64`
1537×	`associate--l-_binary64`
380×	`unsub-neg_binary64`
277×	`sub-neg_binary64`
261×	`div-sub_binary64`
233×	`distribute-rgt-in_binary64`
229×	`distribute-neg-in_binary64`
153×	`distribute-lft-in_binary64`
123×	`times-frac_binary64`
116×	`associate-/l*_binary64`
104×	`+-commutative_binary64`
103×	`cancel-sign-sub-inv_binary64`
84×	`associate--r+_binary64`
83×	`distribute-neg-out_binary64`
74×	`log-prod_binary64`
68×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
66×	`neg-mul-1_binary64`
65×	`log-div_binary64`
54×	`distribute-lft-neg-out_binary64`
52×	`cancel-sign-sub_binary64`
47×	`associate-+r+_binary64`
44×	`associate-+l-_binary64`
42×	`distribute-rgt-out--_binary64` `*-commutative_binary64`
41×	`associate--l+_binary64`
38×	`associate-/r*_binary64` `associate-+l+_binary64`
35×	`*-lft-identity_binary64`
33×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate-+r-_binary64`
30×	`distribute-rgt-neg-out_binary64`
28×	`distribute-neg-frac_binary64`
26×	`associate-r_binary64`
25×	`distribute-lft-out_binary64`
24×	`associate-l_binary64`
22×	`associate-/l/_binary64`
17×	`remove-double-neg_binary64`
16×	`associate-*l/_binary64`
15×	`sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64`
12×	`distribute-rgt-out_binary64`
11×	`+-lft-identity_binary64` `mul0-rgt_binary64`
10×	`div0_binary64`
9×	`mul-1-neg_binary64` `distribute-frac-neg_binary64`
8×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-*r/_binary64`
7×	`log-rec_binary64` `mul0-lft_binary64`
5×	`/-rgt-identity_binary64`
1×	`1-exp_binary64` `*-inverses_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-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` `+-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	26	12
3	38	12
4	64	12
5	82	12
6	123	12
7	219	12
8	360	12
9	442	12
10	534	12
11	922	12
12	1392	12
13	1486	12
14	1714	12
15	1797	12
16	1830	12
17	1835	12
18	1845	12
19	1845	12
20	1845	12
21	1845	12
22	1845	12
23	5283	12
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 9 to 8 computations (11.1% saved)

sample77.0ms (1.7%)

Algorithm

1×

intervals

Results

42.0ms	123×	body	1024	valid
13.0ms	69×	body	512	valid
9.0ms	18×	body	2048	valid
3.0ms	29×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify160.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2334×	`associate--r-_binary64`
1537×	`associate--l-_binary64`
380×	`unsub-neg_binary64`
277×	`sub-neg_binary64`
261×	`div-sub_binary64`
233×	`distribute-rgt-in_binary64`
229×	`distribute-neg-in_binary64`
153×	`distribute-lft-in_binary64`
123×	`times-frac_binary64`
116×	`associate-/l*_binary64`
104×	`+-commutative_binary64`
103×	`cancel-sign-sub-inv_binary64`
84×	`associate--r+_binary64`
83×	`distribute-neg-out_binary64`
74×	`log-prod_binary64`
68×	`neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
66×	`neg-mul-1_binary64`
65×	`log-div_binary64`
54×	`distribute-lft-neg-out_binary64`
52×	`cancel-sign-sub_binary64`
47×	`associate-+r+_binary64`
44×	`associate-+l-_binary64`
42×	`distribute-rgt-out--_binary64` `*-commutative_binary64`
41×	`associate--l+_binary64`
38×	`associate-/r*_binary64` `associate-+l+_binary64`
35×	`*-lft-identity_binary64`
33×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate-+r-_binary64`
30×	`distribute-rgt-neg-out_binary64`
28×	`distribute-neg-frac_binary64`
26×	`associate-r_binary64`
25×	`distribute-lft-out_binary64`
24×	`associate-l_binary64`
22×	`associate-/l/_binary64`
17×	`remove-double-neg_binary64`
16×	`associate-*l/_binary64`
15×	`sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64`
12×	`distribute-rgt-out_binary64`
11×	`+-lft-identity_binary64` `mul0-rgt_binary64`
10×	`div0_binary64`
9×	`mul-1-neg_binary64` `distribute-frac-neg_binary64`
8×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-*r/_binary64`
7×	`log-rec_binary64` `mul0-lft_binary64`
5×	`/-rgt-identity_binary64`
1×	`1-exp_binary64` `*-inverses_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-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` `+-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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	26	12
3	38	12
4	64	12
5	82	12
6	123	12
7	219	12
8	360	12
9	442	12
10	534	12
11	922	12
12	1392	12
13	1486	12
14	1714	12
15	1797	12
16	1830	12
17	1835	12
18	1845	12
19	1845	12
20	1845	12
21	1845	12
22	1845	12
23	5283	12

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

57.8b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite154.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

57.6b

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-/l*_binary64`
4×	`associate-/r/_binary64` `add-cbrt-cube_binary64` `associate-/r*_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` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

7.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
7.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1250 to 969 computations (22.5% saved)

series28.0ms (0.6%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

10.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 260 to 238 computations (8.5% saved)

simplify124.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

468×	`div-sub_binary64`
447×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`
315×	`sub-neg_binary64`
149×	`distribute-rgt-neg-in_binary64`
134×	`distribute-lft-neg-in_binary64`
108×	`associate-l_binary64`
104×	`log-div_binary64`
103×	`associate-r_binary64`
92×	`unsub-neg_binary64`
91×	`distribute-rgt-out_binary64` `+-commutative_binary64`
89×	`cancel-sign-sub-inv_binary64`
86×	`distribute-rgt-neg-out_binary64`
83×	`distribute-lft-neg-out_binary64`
79×	`prod-exp_binary64`
77×	`associate-/l*_binary64`
74×	`associate-+l+_binary64`
73×	`neg-sub0_binary64`
72×	`associate-+r+_binary64`
70×	`neg-mul-1_binary64`
69×	`distribute-rgt-out--_binary64`
68×	`times-frac_binary64` `*-commutative_binary64`
65×	`associate-/r*_binary64`
64×	`associate-+l-_binary64` `associate-+r-_binary64`
63×	`div-exp_binary64`
61×	`exp-prod_binary64`
57×	`distribute-neg-in_binary64`
56×	`associate--l-_binary64`
53×	`associate-*l/_binary64`
48×	`distribute-neg-frac_binary64`
46×	`cancel-sign-sub_binary64` `associate-/l/_binary64`
44×	`log-prod_binary64` `exp-sum_binary64` `distribute-lft-out_binary64`
42×	`associate--l+_binary64`
40×	`associate-/r/_binary64`
37×	`associate--r+_binary64`
34×	`cube-prod_binary64`
33×	`associate-*r/_binary64`
30×	`sqr-pow_binary64`
29×	`exp-diff_binary64`
24×	`distribute-frac-neg_binary64`
21×	`+-rgt-identity_binary64`
20×	`-rgt-identity_binary64` `-lft-identity_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64`
17×	`cube-div_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64`
14×	`cube-unmult_binary64` `/-rgt-identity_binary64` `distribute-neg-out_binary64`
13×	`rec-exp_binary64`
10×	`unpow3_binary64` `distribute-lft1-in_binary64`
9×	`swap-sqr_binary64`
8×	`log-rec_binary64`
6×	`sqr-neg_binary64` `count-2_binary64`
5×	`rem-exp-log_binary64`
4×	`cube-mult_binary64` `difference-of-squares_binary64`
3×	`pow-plus_binary64` `cube-neg_binary64` `mul-1-neg_binary64`
2×	`exp-to-pow_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `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` `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` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`

Counts

106 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	2064
1	351	1976
2	863	1925
3	2373	1921
4	4401	1921
5	5400	1921

prune45.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	2	95

Error

0.0b

Counts

95 → 2

Compiler

Compiled 1053 to 813 computations (22.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite94.0ms (2.1%)

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×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
4×	`cube-prod_binary64` `sqr-pow_binary64`
3×	`pow1_binary64` `diff-log_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `flip3--_binary64` `flip--_binary64` `associate--l-_binary64`

Counts

3 → 72

Calls

3 calls:

7.0ms	(*.f64 2/5 (pow.f64 eps 5))
6.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
6.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 1457 to 1183 computations (18.8% saved)

series36.0ms (0.8%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

12.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
12.0ms	(*.f64 2/5 (pow.f64 eps 5))
9.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 308 to 268 computations (13% saved)

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

535×	`unswap-sqr_binary64`
307×	`cancel-sign-sub-inv_binary64`
263×	`*-commutative_binary64`
258×	`unsub-neg_binary64`
209×	`distribute-rgt-neg-out_binary64`
204×	`log-prod_binary64`
168×	`exp-prod_binary64`
143×	`distribute-neg-out_binary64`
134×	`distribute-rgt-in_binary64`
129×	`sqr-pow_binary64` `distribute-lft-in_binary64`
99×	`neg-mul-1_binary64` `neg-sub0_binary64`
95×	`associate-l_binary64`
90×	`associate-r_binary64`
89×	`swap-sqr_binary64`
87×	`sub-neg_binary64`
82×	`distribute-rgt-neg-in_binary64`
79×	`distribute-lft-neg-in_binary64`
63×	`cube-prod_binary64`
54×	`exp-sum_binary64` `times-frac_binary64`
44×	`exp-diff_binary64`
39×	`associate-+r+_binary64`
32×	`associate-+l+_binary64`
29×	`distribute-neg-in_binary64`
28×	`distribute-lft-neg-out_binary64`
27×	`log-pow_binary64`
25×	`associate-+l-_binary64` `+-commutative_binary64`
19×	`pow-sqr_binary64`
17×	`unpow3_binary64` `distribute-rgt-out_binary64`
16×	`sub0-neg_binary64` `associate-/l*_binary64`
15×	`cube-unmult_binary64` `associate-+r-_binary64`
13×	`associate--r+_binary64`
12×	`pow-plus_binary64` `cube-mult_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64`
10×	`rem-sqrt-square_binary64`
8×	`+-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`associate--l+_binary64`
6×	`sqr-neg_binary64`
5×	`distribute-lft-out_binary64` `associate-/r*_binary64` `associate--r-_binary64`
4×	`div-exp_binary64` `--rgt-identity_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`
3×	`prod-exp_binary64` `cube-neg_binary64` `remove-double-neg_binary64`
2×	`exp-lft-sqr_binary64` `*-lft-identity_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
1×	`unpow1/3_binary64` `unpow-1_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64` `associate-/l/_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` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-*r/_binary64`

Counts

83 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1184
1	291	1095
2	804	1080
3	1996	1080
4	4938	1080
5	5064	1080

prune36.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	2	51

Error

0.0b

Counts

51 → 2

Compiler

Compiled 685 to 550 computations (19.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 2/3 (pow.f64 eps 3)))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite85.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_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` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 68

Calls

3 calls:

6.0ms	(*.f64 2/3 (pow.f64 eps 3))
5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
4.0ms	(-.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 2/3 (pow.f64 eps 3)))

Compiler

Compiled 1351 to 1099 computations (18.7% saved)

series46.0ms (1%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

21.0ms	(-.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 2/3 (pow.f64 eps 3)))
10.0ms	(*.f64 (pow.f64 eps 5) -2/5)
9.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 367 to 316 computations (13.9% saved)

simplify90.0ms (2%)

Algorithm

1×	egg-herbie

Rules

546×	`unswap-sqr_binary64`
387×	`exp-prod_binary64`
293×	`distribute-rgt-neg-in_binary64`
281×	`distribute-lft-neg-in_binary64`
272×	`*-commutative_binary64`
266×	`log-prod_binary64`
222×	`cancel-sign-sub-inv_binary64`
194×	`distribute-rgt-in_binary64`
142×	`distribute-rgt-neg-out_binary64`
125×	`distribute-lft-neg-out_binary64`
121×	`sqr-pow_binary64`
116×	`associate-l_binary64`
102×	`associate-r_binary64`
101×	`cube-prod_binary64` `unsub-neg_binary64`
97×	`neg-sub0_binary64`
96×	`neg-mul-1_binary64`
86×	`swap-sqr_binary64`
55×	`distribute-neg-out_binary64`
49×	`unpow3_binary64`
38×	`distribute-rgt-out_binary64`
37×	`sub-neg_binary64`
35×	`distribute-lft-in_binary64`
27×	`log-pow_binary64`
26×	`pow-plus_binary64`
19×	`pow-sqr_binary64`
18×	`cancel-sign-sub_binary64`
15×	`+-commutative_binary64`
14×	`cube-mult_binary64`
13×	`exp-sum_binary64` `distribute-lft-out_binary64`
11×	`cube-unmult_binary64`
10×	`exp-diff_binary64` `rem-sqrt-square_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
9×	`times-frac_binary64`
8×	`difference-of-squares_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`-lft-identity_binary64` `sub0-neg_binary64` `associate-/l_binary64` `associate-+l-_binary64`
5×	`sqr-neg_binary64` `*-rgt-identity_binary64` `associate-+r-_binary64`
4×	`+-rgt-identity_binary64` `distribute-neg-in_binary64`
3×	`cube-neg_binary64`
2×	`unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `count-2_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `--rgt-identity_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

80 → 53

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	993
1	258	923
2	775	923
3	1661	923
4	4558	914
5	5016	914

prune40.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

0.0b

Counts

55 → 2

Compiler

Compiled 789 to 629 computations (20.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 eps 1))
0.0b	(*.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
5.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))
5.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))

rewrite175.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

125×	`*-un-lft-identity_binary64`
99×	`add-sqr-sqrt_binary64`
72×	`times-frac_binary64`
60×	`log-prod_binary64`
46×	`add-cube-cbrt_binary64`
27×	`pow1_binary64`
26×	`difference-of-squares_binary64` `sqrt-prod_binary64`
19×	`distribute-lft-out_binary64`
14×	`add-exp-log_binary64`
13×	`distribute-lft-out--_binary64`
11×	`swap-sqr_binary64`
8×	`log-pow_binary64` `add-cbrt-cube_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
5×	`pow-prod-up_binary64`
4×	`rem-log-exp_binary64` `add-log-exp_binary64` `unswap-sqr_binary64` `associate-/r*_binary64`
3×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `div-exp_binary64` `pow-prod-down_binary64` `pow-sqr_binary64`
2×	`log-div_binary64` `rem-sqrt-square_binary64` `associate-/l/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 188

Calls

4 calls:

10.0ms	(*.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
8.0ms	(/.f64 (-.f64 1 eps) (+.f64 eps 1))
7.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))
7.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))

Compiler

Compiled 3907 to 3117 computations (20.2% saved)

series63.0ms (1.4%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

13.0ms	(*.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))))
13.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))
12.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 eps 1)))
11.0ms	(/.f64 (-.f64 1 eps) (+.f64 eps 1))

Compiler

Compiled 959 to 827 computations (13.8% saved)

simplify200.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

312×	`sub-neg_binary64`
277×	`associate-l_binary64`
230×	`associate-r_binary64`
182×	`distribute-rgt-in_binary64`
172×	`div-sub_binary64`
164×	`log-prod_binary64`
144×	`distribute-lft-in_binary64`
129×	`log-div_binary64`
126×	`exp-prod_binary64`
124×	`distribute-rgt-neg-out_binary64`
121×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
116×	`times-frac_binary64`
95×	`associate-/l*_binary64`
94×	`*-commutative_binary64`
92×	`+-commutative_binary64`
90×	`cancel-sign-sub-inv_binary64`
89×	`unswap-sqr_binary64`
87×	`associate-/r*_binary64`
84×	`associate-+r+_binary64`
83×	`associate-+l+_binary64`
81×	`neg-sub0_binary64`
78×	`prod-exp_binary64`
76×	`neg-mul-1_binary64`
69×	`div-exp_binary64`
65×	`distribute-neg-frac_binary64` `associate-+r-_binary64`
62×	`sqr-pow_binary64` `associate-+l-_binary64`
60×	`distribute-neg-in_binary64`
56×	`associate--l-_binary64`
52×	`cancel-sign-sub_binary64` `associate-*l/_binary64`
45×	`distribute-rgt-neg-in_binary64`
44×	`associate-/l/_binary64`
43×	`cube-prod_binary64` `associate--l+_binary64`
41×	`associate-/r/_binary64`
40×	`log-pow_binary64` `distribute-lft-neg-in_binary64`
37×	`distribute-frac-neg_binary64` `associate--r+_binary64`
34×	`*-lft-identity_binary64`
33×	`*-rgt-identity_binary64`
31×	`swap-sqr_binary64` `associate-*r/_binary64`
24×	`exp-sum_binary64`
22×	`distribute-rgt-out_binary64`
21×	`pow-plus_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
20×	`unpow3_binary64`
18×	`pow-sqr_binary64`
17×	`/-rgt-identity_binary64`
16×	`exp-diff_binary64` `sub0-neg_binary64`
14×	`rec-exp_binary64` `cube-unmult_binary64`
13×	`exp-to-pow_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`cube-div_binary64`
9×	`log-rec_binary64`
8×	`rem-sqrt-square_binary64`
7×	`count-2_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`rem-exp-log_binary64`
4×	`unpow2_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`unpow1/2_binary64` `cube-mult_binary64`
2×	`rem-log-exp_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64`
1×	`log-E_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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` `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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`

Counts

214 → 146

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	187	4319
1	399	4005
2	1026	3843
3	3116	3781
4	4582	3766
5	4975	3766

prune69.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	146	2	148

Error

Counts

148 → 2

Compiler

Compiled 1991 to 1584 computations (20.4% saved)

regimes216.0ms (4.8%)

Accuracy

Total 0.1b remaining (42.7%)

Threshold costs 0.1b (42.7%)

Compiler

Compiled 2950 to 2534 computations (14.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	24	22
2	32	22
3	36	22
4	39	22
5	40	22
6	39	22

end1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

sample2.4s (53.9%)

Algorithm

1×

intervals

Results

1.3s	4013×	body	1024	valid
364.0ms	1957×	body	512	valid
197.0ms	401×	body	2048	valid
105.0ms	1024×	body	256	valid
29.0ms	605×	body	128	valid

Compiler

Compiled 89 to 81 computations (9% saved)

Details

analyze186.0ms (4.2%)

sample77.0ms (1.7%)

simplify160.0ms (3.6%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite154.0ms (3.5%)

series28.0ms (0.6%)

simplify124.0ms (2.8%)

prune45.0ms (1%)

localize9.0ms (0.2%)

rewrite94.0ms (2.1%)

series36.0ms (0.8%)

simplify93.0ms (2.1%)

prune36.0ms (0.8%)

localize9.0ms (0.2%)

rewrite85.0ms (1.9%)

series46.0ms (1%)

simplify90.0ms (2%)

prune40.0ms (0.9%)

localize8.0ms (0.2%)

rewrite175.0ms (3.9%)

series63.0ms (1.4%)

simplify200.0ms (4.5%)

prune69.0ms (1.5%)

regimes216.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.4s (53.9%)

Profiling