Details

analyze384.0ms (9.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

795×	`sub-neg_binary64`
682×	`unsub-neg_binary64`
574×	`+-commutative_binary64`
540×	`neg-sub0_binary64`
481×	`distribute-neg-in_binary64`
371×	`neg-mul-1_binary64`
370×	`distribute-neg-out_binary64`
283×	`distribute-rgt-neg-in_binary64`
272×	`distribute-lft-neg-in_binary64`
263×	`remove-double-neg_binary64`
224×	`*-commutative_binary64`
204×	`distribute-rgt-out--_binary64`
190×	`associate-+l+_binary64`
188×	`associate-+l-_binary64`
183×	`associate--r+_binary64`
156×	`associate--l+_binary64`
155×	`associate-+r-_binary64`
151×	`distribute-lft-neg-out_binary64`
141×	`distribute-lft-out--_binary64`
139×	`associate-+r+_binary64`
134×	`cancel-sign-sub_binary64`
130×	`distribute-rgt-in_binary64`
124×	`cancel-sign-sub-inv_binary64`
110×	`associate-l_binary64`
100×	`mul-1-neg_binary64`
93×	`*-lft-identity_binary64`
86×	`distribute-rgt-neg-out_binary64`
83×	`distribute-rgt-out_binary64`
68×	`distribute-lft-in_binary64` `associate--r-_binary64`
67×	`associate-r_binary64`
64×	`associate--l-_binary64`
50×	`sub0-neg_binary64`
40×	`distribute-lft-out_binary64`
29×	`+-rgt-identity_binary64`
24×	`log-prod_binary64`
19×	`--rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`distribute-rgt1-in_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` `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` `times-frac_binary64` `div-sub_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` `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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	75	72
2	228	72
3	741	72
4	1924	72
5	2766	72
6	3683	72
7	3978	72
8	4187	72
9	4073	72
10	4011	72
11	4689	72
12	4991	72
13	4949	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify168.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

763×	`associate--r+_binary64`
658×	`associate--r-_binary64`
630×	`associate--l+_binary64`
490×	`associate--l-_binary64`
440×	`associate-+l-_binary64`
374×	`unsub-neg_binary64`
316×	`distribute-neg-out_binary64`
312×	`cancel-sign-sub-inv_binary64`
306×	`sub-neg_binary64`
258×	`distribute-rgt-in_binary64`
238×	`distribute-neg-in_binary64`
156×	`+-commutative_binary64`
147×	`associate-+r+_binary64`
143×	`associate-+l+_binary64`
106×	`distribute-lft-in_binary64`
104×	`distribute-rgt-neg-in_binary64`
97×	`associate-l_binary64`
89×	`associate-+r-_binary64`
81×	`neg-sub0_binary64`
78×	`neg-mul-1_binary64`
77×	`distribute-lft-neg-out_binary64` `*-commutative_binary64`
62×	`associate-r_binary64`
61×	`distribute-lft-neg-in_binary64`
42×	`distribute-rgt-neg-out_binary64`
40×	`cancel-sign-sub_binary64`
36×	`sub0-neg_binary64`
17×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`*-lft-identity_binary64`
13×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
12×	`*-rgt-identity_binary64`
9×	`--rgt-identity_binary64`
8×	`log-prod_binary64`
6×	`distribute-rgt-out_binary64`
2×	`mul-1-neg_binary64` `+-lft-identity_binary64` `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` `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` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	25	18
2	73	18
3	229	18
4	556	18
5	1278	18
6	1440	18
7	1609	18
8	1711	18
9	1737	18
10	1764	18
11	1764	18
12	1910	18
13	1850	18
14	1850	18
15	1850	18
16	4710	18
17	4948	18

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.1b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite96.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
9×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-l_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `diff-log_binary64` `sum-log_binary64` `sub-neg_binary64` `associate-+l+_binary64` `cancel-sign-sub-inv_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `log-pow_binary64` `*-commutative_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64`

Counts

3 → 62

Calls

3 calls:

7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
5.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 1181 to 654 computations (44.6% saved)

series130.0ms (3.3%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

50.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
48.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
16.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 875 to 657 computations (24.9% saved)

simplify150.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

770×	`distribute-rgt-in_binary64`
737×	`distribute-lft-in_binary64`
159×	`exp-sum_binary64`
141×	`associate-+l+_binary64`
138×	`cancel-sign-sub-inv_binary64`
125×	`associate-+r+_binary64`
124×	`neg-mul-1_binary64`
106×	`distribute-rgt-neg-in_binary64`
100×	`sub-neg_binary64`
97×	`associate--r+_binary64`
86×	`exp-diff_binary64`
81×	`exp-prod_binary64`
80×	`distribute-lft-neg-in_binary64`
74×	`distribute-neg-in_binary64`
70×	`associate-l_binary64`
66×	`*-commutative_binary64`
61×	`associate-r_binary64`
55×	`log-prod_binary64`
45×	`neg-sub0_binary64` `associate-+l-_binary64`
43×	`+-commutative_binary64`
40×	`associate--l+_binary64`
39×	`distribute-lft-neg-out_binary64`
36×	`associate-+r-_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`associate--r-_binary64`
22×	`sqr-pow_binary64` `distribute-rgt-out_binary64`
20×	`cube-prod_binary64`
18×	`exp-to-pow_binary64`
16×	`unsub-neg_binary64`
15×	`*-rgt-identity_binary64`
14×	`log-pow_binary64` `log-div_binary64`
12×	`*-lft-identity_binary64`
10×	`times-frac_binary64`
8×	`mul-1-neg_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`unpow3_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
5×	`div-exp_binary64` `sqr-neg_binary64` `associate-/l*_binary64` `associate--l-_binary64`
4×	`prod-exp_binary64` `cube-mult_binary64` `div-sub_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate-/r*_binary64`
3×	`log-rec_binary64` `+-rgt-identity_binary64`
2×	`unpow1/2_binary64` `cube-neg_binary64` `associate-*l/_binary64`
1×	`log-E_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `+-inverses_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `unpow2_binary64` `pow-plus_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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `sub0-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

89 → 77

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	148	1341
1	391	1278
2	1132	1259
3	4552	1259
4	4948	1256
5	4997	1256
6	4996	1256
7	4949	1256

prune71.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Error

0.0b

Counts

78 → 7

Compiler

Compiled 1070 to 612 computations (42.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 1/2 y) (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite237.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`log-prod_binary64`
54×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
36×	`cbrt-prod_binary64`
29×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`pow1/3_binary64` `distribute-lft-out_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

13.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
9.0ms	(.f64 (+.f64 1/2 y) (.f64 2 (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3964 to 2164 computations (45.4% saved)

series127.0ms (3.2%)

Error

Counts

4 → 16

Calls

4 calls:

43.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
30.0ms	(.f64 (+.f64 1/2 y) (.f64 2 (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

Compiler

Compiled 1026 to 819 computations (20.2% saved)

simplify124.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

306×	`associate-r_binary64`
292×	`associate-+l+_binary64`
284×	`associate-l_binary64`
267×	`associate-+r+_binary64`
244×	`distribute-rgt-out_binary64`
232×	`+-commutative_binary64`
196×	`*-commutative_binary64`
175×	`cancel-sign-sub-inv_binary64`
155×	`distribute-rgt-in_binary64`
144×	`distribute-lft-in_binary64`
127×	`distribute-lft-out_binary64`
122×	`log-prod_binary64`
121×	`neg-mul-1_binary64`
105×	`distribute-rgt-neg-in_binary64`
95×	`distribute-lft-neg-in_binary64`
85×	`exp-prod_binary64`
80×	`cube-prod_binary64`
56×	`exp-sum_binary64`
48×	`distribute-rgt-out--_binary64`
47×	`unswap-sqr_binary64`
41×	`sqr-pow_binary64`
38×	`swap-sqr_binary64` `associate--r+_binary64`
32×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
29×	`associate--l+_binary64`
27×	`distribute-neg-in_binary64`
26×	`exp-to-pow_binary64`
22×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
21×	`log-pow_binary64`
20×	`unpow3_binary64`
19×	`log-div_binary64`
14×	`distribute-rgt1-in_binary64` `associate-/r*_binary64`
13×	`cube-mult_binary64`
12×	`associate-+l-_binary64`
11×	`div-sub_binary64` `associate-+r-_binary64`
9×	`pow-plus_binary64` `exp-diff_binary64`
8×	`prod-exp_binary64` `*-rgt-identity_binary64`
7×	`cube-unmult_binary64`
6×	`exp-lft-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l*_binary64`
5×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
4×	`log-rec_binary64` `unsub-neg_binary64`
3×	`unpow1/3_binary64`
2×	`rec-exp_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_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` `unpow2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

135 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	2905
1	591	2567
2	2070	2345
3	4577	2337
4	4932	2337

prune147.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	112	6	118

Error

Counts

118 → 6

Compiler

Compiled 2319 to 1317 computations (43.2% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite91.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1536 to 707 computations (54% saved)

series89.0ms (2.3%)

Error

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (cbrt.f64 y))
19.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

Compiler

Compiled 1018 to 760 computations (25.3% saved)

simplify102.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

513×	`log-prod_binary64`
450×	`unswap-sqr_binary64`
391×	`associate-+l+_binary64`
359×	`associate-+r+_binary64`
347×	`distribute-rgt-in_binary64`
341×	`distribute-lft-in_binary64`
328×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
214×	`distribute-rgt-out_binary64`
192×	`*-commutative_binary64`
149×	`distribute-lft-out_binary64`
137×	`cancel-sign-sub-inv_binary64`
126×	`sqr-pow_binary64`
123×	`associate-l_binary64`
88×	`associate-r_binary64`
84×	`log-pow_binary64`
51×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
38×	`pow-sqr_binary64`
34×	`rem-sqrt-square_binary64`
33×	`exp-prod_binary64`
28×	`sub-neg_binary64`
27×	`pow-plus_binary64`
24×	`unpow3_binary64` `unsub-neg_binary64`
23×	`cube-prod_binary64`
22×	`cube-unmult_binary64`
19×	`distribute-rgt1-in_binary64`
15×	`distribute-lft1-in_binary64`
14×	`count-2_binary64`
9×	`unpow2_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`cube-mult_binary64`
5×	`associate-/l/_binary64` `associate-*r/_binary64`
4×	`associate-/l*_binary64`
3×	`unpow1/3_binary64` `unpow1_binary64` `+-commutative_binary64`
2×	`rem-3cbrt-lft_binary64` `swap-sqr_binary64` `associate-/r/_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `times-frac_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `associate-/r*_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-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-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

59 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	424
1	63	424
2	158	424
3	489	376
4	976	376
5	3453	376
6	4795	376
7	4957	376
8	4718	376

prune18.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	22	6	28

Error

Counts

28 → 6

Compiler

Compiled 383 to 226 computations (41% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y)))
0.3b	(+.f64 (pow.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))) 1) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.4b	(*.f64 2/3 (log.f64 y))
0.6b	(cbrt.f64 y)

rewrite187.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`log-prod_binary64`
21×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
20×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
12×	`pow1_binary64` `associate-+r+_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l/_binary64`
1×	`pow1/3_binary64` `unswap-sqr_binary64` `log-pow_binary64` `sum-log_binary64` `+-commutative_binary64` `distribute-lft-out_binary64`

Counts

4 → 92

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))) 1) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y)))
4.0ms	(*.f64 2/3 (log.f64 y))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2835 to 1708 computations (39.8% saved)

series135.0ms (3.4%)

Error

Counts

4 → 16

Calls

4 calls:

59.0ms	(+.f64 (pow.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))) 1) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
21.0ms	(.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y)))
17.0ms	(cbrt.f64 y)
14.0ms	(*.f64 2/3 (log.f64 y))

Compiler

Compiled 1219 to 965 computations (20.8% saved)

simplify102.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

259×	`cancel-sign-sub-inv_binary64`
238×	`associate-r_binary64`
230×	`associate-l_binary64`
202×	`associate-+l+_binary64`
195×	`associate-+r+_binary64`
187×	`exp-prod_binary64`
182×	`distribute-rgt-out_binary64`
174×	`+-commutative_binary64`
161×	`neg-mul-1_binary64`
152×	`log-prod_binary64`
145×	`*-commutative_binary64`
141×	`distribute-rgt-neg-in_binary64`
134×	`exp-sum_binary64`
125×	`cube-prod_binary64`
120×	`distribute-lft-neg-in_binary64`
104×	`distribute-rgt-in_binary64`
97×	`distribute-lft-out_binary64`
95×	`distribute-lft-in_binary64`
74×	`unswap-sqr_binary64`
72×	`exp-to-pow_binary64`
58×	`associate--r+_binary64`
57×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
52×	`sub-neg_binary64`
48×	`exp-diff_binary64`
46×	`sqr-pow_binary64`
40×	`distribute-lft-neg-out_binary64`
39×	`div-sub_binary64` `neg-sub0_binary64`
36×	`log-div_binary64`
34×	`associate--l+_binary64`
32×	`associate-/r*_binary64`
30×	`swap-sqr_binary64` `distribute-lft-out--_binary64`
28×	`distribute-rgt-neg-out_binary64`
24×	`log-pow_binary64`
23×	`associate-+r-_binary64`
19×	`unpow3_binary64`
18×	`unsub-neg_binary64` `distribute-neg-out_binary64`
17×	`associate-+l-_binary64`
16×	`count-2_binary64`
12×	`cube-unmult_binary64`
11×	`pow-plus_binary64` `cube-mult_binary64`
10×	`prod-exp_binary64` `associate-/l*_binary64`
9×	`exp-neg_binary64` `pow-sqr_binary64`
8×	`rem-sqrt-square_binary64`
7×	`cube-neg_binary64` `sqr-neg_binary64`
6×	`remove-double-neg_binary64`
5×	`mul-1-neg_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64`
3×	`log-rec_binary64` `unpow1/3_binary64`
2×	`unpow1/2_binary64` `rec-exp_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `associate--l-_binary64`
1×	`unpow1_binary64` `div-exp_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `+-rgt-identity_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` `pow-base-0_binary64` `unpow2_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-1-e_binary64` `exp-0_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

108 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2038
1	524	1540
2	1788	1451
3	3978	1451
4	4887	1451

prune85.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Error

Counts

84 → 6

Compiler

Compiled 1385 to 828 computations (40.2% saved)

regimes510.0ms (13.1%)

Accuracy

Total 0.1b remaining (73.7%)

Threshold costs 0.1b (73.7%)

Compiler

Compiled 6375 to 5126 computations (19.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
1×	`unsub-neg_binary64` `distribute-lft-neg-out_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` `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-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	21	18
2	39	18
3	50	18
4	57	18
5	59	18
6	58	18

end1.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

sample859.0ms (22%)

Algorithm

1×

intervals

Results

379.0ms	7999×	body	128	valid
1.0ms	30×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 172 to 142 computations (17.4% saved)

Details

analyze384.0ms (9.8%)

sample25.0ms (0.6%)

simplify168.0ms (4.3%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite96.0ms (2.5%)

series130.0ms (3.3%)

simplify150.0ms (3.9%)

prune71.0ms (1.8%)

localize14.0ms (0.4%)

rewrite237.0ms (6.1%)

series127.0ms (3.2%)

simplify124.0ms (3.2%)

prune147.0ms (3.8%)

localize20.0ms (0.5%)

rewrite91.0ms (2.3%)

series89.0ms (2.3%)

simplify102.0ms (2.6%)

prune18.0ms (0.5%)

localize18.0ms (0.5%)

rewrite187.0ms (4.8%)

series135.0ms (3.4%)

simplify102.0ms (2.6%)

prune85.0ms (2.2%)

regimes510.0ms (13.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample859.0ms (22%)

Profiling