Details

analyze108.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Rules

686×	`times-frac_binary64`
548×	`unsub-neg_binary64`
524×	`distribute-rgt-in_binary64`
494×	`div-sub_binary64`
398×	`distribute-lft-in_binary64`
328×	`associate-/l/_binary64`
253×	`cancel-sign-sub-inv_binary64`
252×	`neg-mul-1_binary64`
226×	`neg-sub0_binary64`
144×	`sub-neg_binary64`
96×	`associate-/r/_binary64`
90×	`distribute-neg-frac_binary64`
88×	`associate-*l/_binary64`
77×	`distribute-neg-in_binary64`
76×	`distribute-lft-neg-out_binary64`
75×	`distribute-frac-neg_binary64`
72×	`distribute-rgt-neg-out_binary64`
70×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
66×	`associate-*r/_binary64`
64×	`associate-/l*_binary64`
49×	`distribute-lft-neg-in_binary64`
31×	`*-commutative_binary64`
29×	`associate-+r+_binary64`
26×	`distribute-rgt-out--_binary64`
25×	`+-commutative_binary64`
24×	`mul0-rgt_binary64`
23×	`associate-r_binary64`
22×	`mul0-lft_binary64`
21×	`associate-l_binary64` `associate-+l+_binary64`
20×	`associate-/r*_binary64`
17×	`sub0-neg_binary64`
16×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
14×	`associate-+l-_binary64`
12×	`sqr-neg_binary64` `+-lft-identity_binary64`
10×	`div0_binary64`
8×	`cube-prod_binary64`
6×	`cube-div_binary64` `+-rgt-identity_binary64` `associate--r-_binary64`
5×	`*-rgt-identity_binary64` `associate-+r-_binary64`
4×	`cube-unmult_binary64` `mul-1-neg_binary64` `*-inverses_binary64`
3×	`*-lft-identity_binary64` `remove-double-neg_binary64`
2×	`cube-neg_binary64` `/-rgt-identity_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `associate--l+_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` `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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	39	34
2	96	34
3	210	34
4	466	34
5	1489	34
6	4308	34
7	4920	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 (1.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify76.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

624×	`neg-mul-1_binary64`
414×	`sub-neg_binary64`
381×	`distribute-frac-neg_binary64`
364×	`div-sub_binary64`
297×	`unsub-neg_binary64`
254×	`*-commutative_binary64`
253×	`times-frac_binary64`
204×	`neg-sub0_binary64`
190×	`cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64`
178×	`associate-/l*_binary64`
174×	`associate-/r/_binary64`
173×	`associate-*l/_binary64`
171×	`distribute-lft-in_binary64`
143×	`distribute-neg-frac_binary64`
137×	`cube-prod_binary64`
134×	`distribute-neg-out_binary64`
131×	`associate-/l/_binary64`
114×	`associate-l_binary64`
103×	`associate-*r/_binary64`
97×	`distribute-lft-neg-out_binary64`
96×	`distribute-rgt-neg-out_binary64`
91×	`distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
89×	`distribute-rgt-out_binary64`
83×	`associate--r+_binary64`
79×	`associate-/r*_binary64`
78×	`associate-+l+_binary64`
70×	`associate-r_binary64`
66×	`distribute-lft-neg-in_binary64`
63×	`cube-div_binary64`
62×	`div0_binary64`
60×	`swap-sqr_binary64`
57×	`associate-+r+_binary64`
55×	`associate--l+_binary64`
50×	`remove-double-neg_binary64`
48×	`distribute-rgt-out--_binary64`
45×	`sqr-neg_binary64` `+-commutative_binary64`
43×	`sub0-neg_binary64`
38×	`associate-+r-_binary64`
34×	`mul0-rgt_binary64`
33×	`mul0-lft_binary64`
31×	`cube-neg_binary64`
29×	`unpow3_binary64` `cube-mult_binary64`
27×	`distribute-neg-in_binary64`
24×	`/-rgt-identity_binary64`
21×	`associate--r-_binary64`
19×	`associate--l-_binary64`
16×	`distribute-lft-out_binary64`
13×	`*-rgt-identity_binary64`
11×	`+-lft-identity_binary64` `cancel-sign-sub_binary64`
10×	`--rgt-identity_binary64` `unswap-sqr_binary64`
8×	`mul-1-neg_binary64`
7×	`*-lft-identity_binary64` `+-rgt-identity_binary64` `sqr-pow_binary64`
6×	`distribute-lft-out--_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`remove-double-div_binary64`
3×	`+-inverses_binary64`
2×	`cube-unmult_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `1-exp_binary64` `difference-of-sqr-1_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` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `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` `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-mult-inverse_binary64` `pow-sqr_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	22	17
2	54	17
3	115	17
4	245	17
5	646	17
6	1944	17
7	3229	17
8	4346	17
9	4836	17

prune3.0ms (0.2%)

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

14.6b

Counts

2 → 1

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
14.1b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

rewrite57.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `times-frac_binary64` `associate-/l*_binary64`
3×	`difference-of-squares_binary64` `sqrt-prod_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

3 → 52

Calls

3 calls:

8.0ms	(-.f64 (.f64 a a) (.f64 b b))
7.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 1120 to 240 computations (78.6% saved)

series96.0ms (5.4%)

Error

0.3b

Counts

3 → 30

Calls

3 calls:

39.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
27.0ms	(-.f64 (.f64 a a) (.f64 b b))
22.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 617 to 564 computations (8.6% saved)

simplify77.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

390×	`times-frac_binary64`
377×	`unswap-sqr_binary64`
279×	`div-sub_binary64`
260×	`associate-l_binary64`
249×	`associate-/l*_binary64`
225×	`associate-r_binary64`
214×	`distribute-rgt-in_binary64`
206×	`distribute-lft-in_binary64`
145×	`associate-/r*_binary64`
143×	`associate-*l/_binary64`
106×	`associate-*r/_binary64`
92×	`exp-prod_binary64`
74×	`sub-neg_binary64`
73×	`*-commutative_binary64`
72×	`unsub-neg_binary64`
62×	`sqr-pow_binary64`
49×	`exp-sum_binary64`
48×	`associate-/l/_binary64`
46×	`difference-of-squares_binary64`
44×	`neg-sub0_binary64`
40×	`cube-prod_binary64`
38×	`cancel-sign-sub-inv_binary64`
37×	`associate-/r/_binary64`
34×	`neg-mul-1_binary64`
29×	`log-prod_binary64`
28×	`distribute-rgt-neg-in_binary64`
27×	`log-div_binary64` `+-commutative_binary64`
23×	`cube-div_binary64` `distribute-lft-neg-in_binary64`
20×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
15×	`exp-diff_binary64`
14×	`distribute-lft-neg-out_binary64`
12×	`unpow3_binary64`
11×	`cube-unmult_binary64` `pow-sqr_binary64` `associate-+l+_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64`
9×	`distribute-rgt-neg-out_binary64`
7×	`cube-mult_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
6×	`pow-plus_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `associate--r+_binary64`
5×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
4×	`remove-double-neg_binary64` `swap-sqr_binary64`
3×	`div0_binary64` `distribute-lft-out_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `sqr-neg_binary64` `*-inverses_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_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` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

82 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1346
1	225	1203
2	660	1189
3	3365	1189
4	4937	1189

prune31.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	1	64

Error

Counts

64 → 1

Compiler

Compiled 618 to 248 computations (59.9% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
0.0b	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
0.1b	(*.f64 b (/.f64 b a))

rewrite69.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64` `sqrt-prod_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

3 → 75

Calls

3 calls:

7.0ms	(*.f64 b (/.f64 b a))
5.0ms	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
1.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))

Compiler

Compiled 1412 to 414 computations (70.7% saved)

series77.0ms (4.3%)

Error

Counts

3 → 24

Calls

3 calls:

36.0ms	(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
21.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
17.0ms	(*.f64 b (/.f64 b a))

Compiler

Compiled 474 to 426 computations (10.1% saved)

simplify109.0ms (6%)

Algorithm

1×	egg-herbie

Rules

344×	`distribute-rgt-in_binary64`
310×	`times-frac_binary64`
309×	`associate-/l*_binary64`
275×	`associate-l_binary64`
246×	`associate-*l/_binary64`
239×	`log-prod_binary64`
235×	`unswap-sqr_binary64`
219×	`associate-r_binary64`
212×	`exp-prod_binary64`
199×	`associate-*r/_binary64`
163×	`associate-/l/_binary64`
153×	`div-sub_binary64`
138×	`associate-/r*_binary64`
119×	`cancel-sign-sub-inv_binary64`
116×	`log-div_binary64`
97×	`associate-/r/_binary64`
94×	`distribute-rgt-neg-in_binary64`
90×	`*-commutative_binary64`
83×	`distribute-rgt-neg-out_binary64`
81×	`distribute-neg-frac_binary64`
77×	`distribute-lft-neg-out_binary64`
72×	`distribute-lft-neg-in_binary64`
62×	`swap-sqr_binary64` `distribute-lft-in_binary64`
60×	`cube-prod_binary64`
57×	`distribute-rgt-out_binary64`
51×	`sub-neg_binary64`
44×	`*-lft-identity_binary64`
42×	`sqr-pow_binary64`
37×	`*-rgt-identity_binary64`
36×	`cube-div_binary64`
33×	`distribute-lft-out_binary64`
31×	`unpow3_binary64`
29×	`neg-sub0_binary64` `distribute-frac-neg_binary64`
28×	`/-rgt-identity_binary64`
25×	`neg-mul-1_binary64`
20×	`+-commutative_binary64`
18×	`log-rec_binary64`
14×	`pow-plus_binary64` `unsub-neg_binary64`
13×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
10×	`log-pow_binary64` `distribute-neg-in_binary64`
8×	`remove-double-div_binary64` `pow-sqr_binary64`
7×	`cube-unmult_binary64`
6×	`rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`exp-diff_binary64`
4×	`unpow1/2_binary64` `exp-sum_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64`
3×	`sub0-neg_binary64` `associate--l+_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out--_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

99 → 79

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1587
1	296	1453
2	843	1442
3	2623	1432
4	4589	1432
5	5079	1432

prune34.0ms (1.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	1	80

Error

Counts

80 → 1

Compiler

Compiled 926 to 335 computations (63.8% saved)

regimes188.0ms (10.5%)

Accuracy

Total 0.0b remaining (4.7%)

Threshold costs 0.0b (4.7%)

Compiler

Compiled 1520 to 1249 computations (17.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`distribute-neg-frac_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` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	15	17
2	25	17
3	32	17
4	36	17
5	37	17
6	37	17

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample829.0ms (46.1%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	128	valid
145.0ms	8000×	pre	128	true
2.0ms	116×	pre	128	false

Compiler

Compiled 43 to 38 computations (11.6% saved)

Details

analyze108.0ms (6%)

sample25.0ms (1.4%)

simplify76.0ms (4.2%)

prune3.0ms (0.2%)

localize7.0ms (0.4%)

rewrite57.0ms (3.2%)

series96.0ms (5.4%)

simplify77.0ms (4.3%)

prune31.0ms (1.7%)

localize7.0ms (0.4%)

rewrite69.0ms (3.8%)

series77.0ms (4.3%)

simplify109.0ms (6%)

prune34.0ms (1.9%)

regimes188.0ms (10.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample829.0ms (46.1%)

Profiling