Details

analyze99.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

362×	`fabs-div_binary64`
302×	`associate-/l*_binary64`
296×	`fabs-mul_binary64`
286×	`associate-/r/_binary64`
258×	`times-frac_binary64`
257×	`sub-neg_binary64`
190×	`distribute-rgt-in_binary64`
188×	`associate-*l/_binary64`
184×	`associate-/l/_binary64`
174×	`div-sub_binary64` `distribute-lft-in_binary64`
154×	`associate-*r/_binary64`
146×	`unsub-neg_binary64`
132×	`cancel-sign-sub-inv_binary64`
117×	`fabs-sub_binary64`
116×	`associate-/r*_binary64`
83×	`neg-mul-1_binary64`
76×	`associate--r+_binary64`
71×	`associate-r_binary64`
70×	`neg-sub0_binary64`
65×	`associate-l_binary64`
63×	`*-commutative_binary64`
60×	`distribute-neg-frac_binary64`
48×	`+-commutative_binary64`
40×	`distribute-rgt-neg-in_binary64`
39×	`associate-+r+_binary64`
30×	`distribute-lft-neg-in_binary64`
26×	`distribute-neg-in_binary64`
25×	`associate-+l+_binary64`
16×	`associate--l+_binary64`
12×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
11×	`associate-+r-_binary64`
10×	`sub0-neg_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64`
8×	`div0_binary64` `difference-of-squares_binary64`
6×	`difference-of-sqr--1_binary64` `associate--r-_binary64` `associate--l-_binary64`
4×	`sqr-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_binary64`
2×	`cube-unmult_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-fabs_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	45	34
2	119	34
3	353	34
4	983	34
5	3936	34
6	4982	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample25.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-/r*_binary64`
566×	`associate-l_binary64`
494×	`associate-r_binary64`
376×	`fabs-div_binary64`
362×	`distribute-rgt-in_binary64`
330×	`distribute-lft-in_binary64`
210×	`div-sub_binary64`
119×	`cancel-sign-sub-inv_binary64`
109×	`associate-/r/_binary64`
100×	`fabs-mul_binary64`
99×	`associate-/l*_binary64`
86×	`sub-neg_binary64`
75×	`times-frac_binary64`
64×	`associate-*l/_binary64`
59×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
56×	`associate-*r/_binary64`
54×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
48×	`fabs-sub_binary64`
40×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
35×	`*-commutative_binary64`
32×	`distribute-neg-in_binary64` `associate-+r+_binary64`
31×	`neg-mul-1_binary64`
30×	`neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
26×	`associate-+l+_binary64`
23×	`+-commutative_binary64`
21×	`distribute-rgt-out_binary64`
19×	`distribute-frac-neg_binary64`
16×	`distribute-rgt-out--_binary64`
12×	`mul0-rgt_binary64`
11×	`sub0-neg_binary64` `mul0-lft_binary64` `associate--r+_binary64` `associate-+l-_binary64`
10×	`div0_binary64`
9×	`*-rgt-identity_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
8×	`cube-prod_binary64` `distribute-lft-out_binary64`
6×	`cube-div_binary64` `+-lft-identity_binary64`
5×	`*-lft-identity_binary64`
4×	`cube-unmult_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--l+_binary64`
3×	`remove-double-neg_binary64` `*-inverses_binary64`
2×	`sqr-neg_binary64` `mul-1-neg_binary64` `cancel-sign-sub_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `fabs-sqr_binary64` `fabs-fabs_binary64` `/-rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `distribute-rgt1-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` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `sqr-abs_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` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	25	17
2	68	17
3	187	17
4	441	17
5	1424	17
6	4841	17
7	5086	17

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

15.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
30.7b	(/.f64 (.f64 b b) (.f64 a a))

rewrite72.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
9×	`fabs-mul_binary64`
8×	`*-un-lft-identity_binary64`
4×	`prod-exp_binary64` `div-exp_binary64` `add-cube-cbrt_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `times-frac_binary64` `rem-sqrt-square_binary64`
2×	`add-log-exp_binary64` `fabs-div_binary64` `sqrt-div_binary64` `fabs-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

2 → 47

Calls

2 calls:

6.0ms	(/.f64 (.f64 b b) (.f64 a a))
6.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 901 to 378 computations (58% saved)

series45.0ms (1.5%)

Error

15.1b

Counts

2 → 12

Calls

2 calls:

23.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
21.0ms	(/.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 275 to 275 computations (0% saved)

simplify108.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
516×	`distribute-neg-frac_binary64`
385×	`associate-/l*_binary64`
363×	`unswap-sqr_binary64`
337×	`cancel-sign-sub-inv_binary64`
275×	`associate-*l/_binary64`
206×	`associate-*r/_binary64`
194×	`associate-/r_binary64` `associate-l*_binary64`
172×	`associate-r_binary64`
116×	`log-prod_binary64`
97×	`associate-/l/_binary64`
81×	`associate-/r/_binary64`
80×	`distribute-rgt-neg-in_binary64`
78×	`log-div_binary64`
72×	`distribute-lft-neg-in_binary64`
66×	`sub-neg_binary64`
58×	`cube-prod_binary64`
51×	`neg-sub0_binary64`
49×	`neg-mul-1_binary64`
48×	`sqr-pow_binary64`
47×	`swap-sqr_binary64`
45×	`unpow3_binary64`
43×	`cube-div_binary64`
41×	`div-sub_binary64`
30×	`*-commutative_binary64`
26×	`exp-prod_binary64` `fabs-mul_binary64` `*-lft-identity_binary64`
25×	`+-commutative_binary64`
18×	`log-pow_binary64`
16×	`/-rgt-identity_binary64` `*-rgt-identity_binary64`
13×	`fabs-sub_binary64`
11×	`pow-sqr_binary64` `distribute-rgt-in_binary64` `associate-+l-_binary64`
10×	`associate-+l+_binary64`
9×	`associate-+r+_binary64`
8×	`rem-sqrt-square_binary64`
7×	`log-rec_binary64` `pow-plus_binary64`
6×	`difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out_binary64`
5×	`distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64`
4×	`cube-unmult_binary64` `cube-mult_binary64` `fabs-sqr_binary64` `unsub-neg_binary64` `sub0-neg_binary64` `distribute-lft-in_binary64` `associate--l+_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64` `fabs-div_binary64` `div0_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_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` `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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

59 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1103
1	222	980
2	622	931
3	2961	904
4	4884	904
5	4995	904
6	4954	904

prune21.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Error

0.0b

Counts

40 → 2

Compiler

Compiled 273 to 153 computations (44% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.4b	(pow.f64 (/.f64 b a) 6)
27.6b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite137.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64`
30×	`unpow-prod-down_binary64`
28×	`*-un-lft-identity_binary64`
25×	`cbrt-prod_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
18×	`sqrt-prod_binary64`
15×	`fabs-mul_binary64`
10×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
5×	`pow1_binary64`
4×	`sqr-pow_binary64`
3×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `pow-unpow_binary64` `rem-sqrt-square_binary64`
2×	`div-inv_binary64` `pow-exp_binary64` `fabs-div_binary64` `sqrt-div_binary64` `fabs-sqr_binary64`
1×	`pow1/3_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `div-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

3 → 85

Calls

3 calls:

12.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
4.0ms	(pow.f64 (/.f64 b a) 6)
4.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

Compiler

Compiled 1575 to 1083 computations (31.2% saved)

series68.0ms (2.3%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

26.0ms	(pow.f64 (/.f64 b a) 6)
20.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))
19.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))

Compiler

Compiled 431 to 429 computations (0.5% saved)

simplify121.0ms (4%)

Algorithm

1×	egg-herbie

Rules

360×	`log-prod_binary64`
356×	`log-div_binary64`
315×	`associate-l_binary64`
292×	`cube-prod_binary64`
290×	`associate-r_binary64`
259×	`exp-prod_binary64`
187×	`fabs-mul_binary64`
173×	`cube-div_binary64`
171×	`associate-*l/_binary64`
161×	`associate-*r/_binary64`
112×	`sqr-pow_binary64`
108×	`log-pow_binary64`
89×	`unswap-sqr_binary64`
66×	`associate-/l*_binary64`
58×	`fabs-div_binary64`
57×	`associate-/r*_binary64`
53×	`swap-sqr_binary64`
48×	`pow-plus_binary64` `cube-unmult_binary64`
46×	`times-frac_binary64`
45×	`unpow3_binary64`
42×	`cube-mult_binary64`
39×	`cancel-sign-sub-inv_binary64`
37×	`*-commutative_binary64`
36×	`distribute-rgt-neg-in_binary64`
31×	`sub-neg_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`
27×	`associate-/l/_binary64`
15×	`neg-mul-1_binary64`
14×	`neg-sub0_binary64` `distribute-neg-frac_binary64`
11×	`pow-sqr_binary64`
10×	`rem-sqrt-square_binary64`
9×	`fabs-sub_binary64` `distribute-rgt-in_binary64` `associate-+l-_binary64`
8×	`distribute-lft-in_binary64` `associate-/r/_binary64`
7×	`difference-of-sqr-1_binary64`
6×	`rem-cbrt-cube_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`unpow1/2_binary64` `*-rgt-identity_binary64`
3×	`unpow1_binary64` `rem-cube-cbrt_binary64` `fabs-sqr_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `difference-of-sqr--1_binary64` `count-2_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
2×	`unpow2_binary64` `rem-square-sqrt_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `distribute-rgt-neg-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` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-neg_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_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-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

103 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1961
1	333	1639
2	716	1573
3	2753	1453
4	4746	1453
5	5098	1453

prune40.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 584 to 410 computations (29.8% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
5.5b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite133.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
26×	`unpow-prod-down_binary64` `*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`log-pow_binary64`
18×	`exp-prod_binary64` `times-frac_binary64`
11×	`sqrt-prod_binary64`
8×	`fabs-mul_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64`
3×	`log-prod_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `pow-unpow_binary64` `rem-sqrt-square_binary64`
2×	`div-inv_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64` `fabs-div_binary64` `sqrt-div_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `fabs-sqr_binary64`
1×	`rem-log-exp_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `div-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64`

Counts

3 → 84

Calls

3 calls:

12.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
6.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 1554 to 1086 computations (30.1% saved)

series85.0ms (2.8%)

Error

Counts

3 → 18

Calls

3 calls:

44.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
19.0ms	(pow.f64 (/.f64 b a) 2)
16.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 455 to 451 computations (0.9% saved)

simplify97.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

447×	`associate-/r*_binary64`
414×	`associate-/l/_binary64`
247×	`log-pow_binary64`
207×	`exp-prod_binary64`
194×	`associate-/r/_binary64`
176×	`sqr-pow_binary64`
148×	`associate-l_binary64`
139×	`cancel-sign-sub-inv_binary64`
138×	`associate-*l/_binary64`
132×	`associate-r_binary64`
121×	`log-prod_binary64`
115×	`associate-*r/_binary64`
110×	`distribute-rgt-neg-in_binary64`
102×	`distribute-lft-neg-in_binary64`
92×	`distribute-rgt-in_binary64`
87×	`cube-prod_binary64`
79×	`distribute-lft-in_binary64`
68×	`associate-/l*_binary64`
67×	`fabs-mul_binary64` `swap-sqr_binary64`
55×	`distribute-neg-frac_binary64`
52×	`unswap-sqr_binary64`
51×	`rem-sqrt-square_binary64`
41×	`log-div_binary64`
39×	`cube-div_binary64`
38×	`pow-sqr_binary64`
36×	`times-frac_binary64`
34×	`sub-neg_binary64`
33×	`*-commutative_binary64`
32×	`pow-plus_binary64`
31×	`cube-unmult_binary64`
28×	`rem-log-exp_binary64`
23×	`unpow1/2_binary64`
22×	`unpow2_binary64` `unpow1_binary64` `*-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `+-commutative_binary64`
21×	`distribute-rgt-out_binary64`
20×	`*-lft-identity_binary64`
19×	`distribute-rgt-neg-out_binary64`
17×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64` `distribute-lft-out_binary64`
12×	`fabs-div_binary64`
11×	`fabs-sub_binary64` `difference-of-sqr--1_binary64`
10×	`associate-+l+_binary64` `associate-+r+_binary64`
9×	`unpow3_binary64`
8×	`exp-to-pow_binary64` `cube-mult_binary64` `/-rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64`
6×	`unsub-neg_binary64` `count-2_binary64` `associate-+l-_binary64`
5×	`sub0-neg_binary64`
3×	`fabs-sqr_binary64` `rem-square-sqrt_binary64`
2×	`rem-3cbrt-rft_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft1-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` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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-0_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

102 → 85

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	176	1438
1	294	1241
2	592	1186
3	1834	1182
4	4904	1176
5	5081	1176

prune59.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 844 to 550 computations (34.8% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b a))))
0.0b	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) 1)))
0.0b	(*.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) 1))) (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b a)))))

rewrite190.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

89×	`add-sqr-sqrt_binary64`
64×	`sqrt-prod_binary64`
40×	`fabs-mul_binary64`
25×	`*-un-lft-identity_binary64`
24×	`rem-sqrt-square_binary64`
20×	`fabs-sqr_binary64`
16×	`fabs-div_binary64` `sqrt-div_binary64` `unswap-sqr_binary64`
15×	`associate-r_binary64`
13×	`add-cube-cbrt_binary64`
11×	`associate-l_binary64`
9×	`pow1_binary64` `mul-fabs_binary64`
8×	`difference-of-squares_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip3-+_binary64` `frac-times_binary64` `flip--_binary64` `flip-+_binary64` `times-frac_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64`
2×	`associate-l/_binary64` `associate-r/_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `*-commutative_binary64`

Counts

3 → 121

Calls

3 calls:

24.0ms	(*.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) 1))) (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b a)))))
8.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b a))))
8.0ms	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) 1)))

Compiler

Compiled 2682 to 1666 computations (37.9% saved)

series56.0ms (1.9%)

Error

Counts

3 → 18

Calls

3 calls:

23.0ms	(*.f64 (sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) 1))) (sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b a)))))
16.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 b a))))
15.0ms	(sqrt.f64 (fabs.f64 (+.f64 (/.f64 b a) 1)))

Compiler

Compiled 557 to 440 computations (21% saved)

simplify228.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

701×	`times-frac_binary64`
490×	`associate-/l*_binary64`
376×	`div-sub_binary64`
275×	`associate-l_binary64`
229×	`associate-*l/_binary64`
227×	`distribute-neg-frac_binary64`
213×	`associate-r_binary64`
202×	`associate-/r*_binary64`
184×	`cancel-sign-sub-inv_binary64`
160×	`sub-neg_binary64`
158×	`associate-/l/_binary64`
146×	`associate-*r/_binary64`
117×	`unswap-sqr_binary64`
106×	`distribute-neg-in_binary64` `associate-/r/_binary64`
102×	`fabs-mul_binary64`
100×	`unsub-neg_binary64`
98×	`neg-mul-1_binary64`
97×	`distribute-rgt-neg-in_binary64`
87×	`neg-sub0_binary64`
80×	`sqr-pow_binary64`
77×	`*-commutative_binary64`
76×	`fabs-sub_binary64`
75×	`*-rgt-identity_binary64` `distribute-rgt-in_binary64`
74×	`*-lft-identity_binary64`
67×	`distribute-lft-neg-in_binary64`
51×	`distribute-lft-in_binary64`
50×	`distribute-frac-neg_binary64`
36×	`cube-prod_binary64` `+-commutative_binary64`
33×	`associate--l+_binary64`
29×	`distribute-rgt-out_binary64`
28×	`associate-+l+_binary64`
27×	`cube-div_binary64`
26×	`unpow3_binary64`
24×	`--rgt-identity_binary64` `swap-sqr_binary64`
23×	`rem-sqrt-square_binary64`
22×	`pow-sqr_binary64`
21×	`associate-+r+_binary64`
20×	`cancel-sign-sub_binary64`
19×	`distribute-lft-neg-out_binary64`
18×	`cube-unmult_binary64`
17×	`div0_binary64`
15×	`+-lft-identity_binary64` `associate--r+_binary64`
13×	`distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64`
12×	`pow-plus_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
11×	`remove-double-neg_binary64` `sub0-neg_binary64` `mul0-rgt_binary64`
10×	`exp-prod_binary64` `fabs-sqr_binary64` `mul0-lft_binary64` `associate-+l-_binary64`
9×	`log-prod_binary64` `fabs-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64`
8×	`difference-of-sqr-1_binary64`
7×	`/-rgt-identity_binary64` `associate--l-_binary64`
6×	`associate-+r-_binary64`
5×	`+-rgt-identity_binary64`
4×	`cube-neg_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out--_binary64`
3×	`unpow1/2_binary64` `rem-square-sqrt_binary64`
2×	`sqr-neg_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64`

Counts

139 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	3527
1	280	3345
2	541	3250
3	780	3250
4	1836	3250
5	3904	3250
6	4490	3250
7	4950	3250
8	4900	3250

prune75.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1429 to 840 computations (41.2% saved)

regimes351.0ms (11.7%)

Accuracy

Total 0.0b remaining (85.4%)

Threshold costs 0.0b (85.4%)

Compiler

Compiled 5044 to 3675 computations (27.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `fabs-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `*-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` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	18	17
2	24	17
3	27	17
4	28	17
5	26	17

end1.0ms (0%)

Compiler: Compiled 11 to 11 computations (0% saved)

sample890.0ms (29.6%)

Algorithm

1×

intervals

Results

299.0ms	8000×	body	128	valid
161.0ms	8000×	pre	128	true
2.0ms	117×	pre	128	false

Compiler

Compiled 68 to 66 computations (2.9% saved)

Details

analyze99.0ms (3.3%)

sample25.0ms (0.8%)

simplify51.0ms (1.7%)

prune3.0ms (0.1%)

localize12.0ms (0.4%)

rewrite72.0ms (2.4%)

series45.0ms (1.5%)

simplify108.0ms (3.6%)

prune21.0ms (0.7%)

localize9.0ms (0.3%)

rewrite137.0ms (4.6%)

series68.0ms (2.3%)

simplify121.0ms (4%)

prune40.0ms (1.3%)

localize12.0ms (0.4%)

rewrite133.0ms (4.4%)

series85.0ms (2.8%)

simplify97.0ms (3.2%)

prune59.0ms (2%)

localize11.0ms (0.4%)

rewrite190.0ms (6.3%)

series56.0ms (1.9%)

simplify228.0ms (7.6%)

prune75.0ms (2.5%)

regimes351.0ms (11.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample890.0ms (29.6%)

Profiling