Details

analyze184.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

770×	`unswap-sqr_binary64`
633×	`associate-l_binary64`
432×	`sub-neg_binary64`
416×	`associate-+l+_binary64`
342×	`associate-+r+_binary64`
284×	`unsub-neg_binary64`
255×	`+-commutative_binary64`
241×	`cancel-sign-sub-inv_binary64`
211×	`distribute-rgt-neg-in_binary64`
196×	`associate--l+_binary64`
188×	`distribute-rgt-in_binary64`
181×	`*-commutative_binary64`
178×	`distribute-lft-neg-in_binary64`
163×	`associate-+l-_binary64`
151×	`neg-sub0_binary64`
150×	`distribute-lft-in_binary64`
147×	`neg-mul-1_binary64`
114×	`distribute-lft-out_binary64`
113×	`distribute-neg-in_binary64`
108×	`associate--r+_binary64`
105×	`associate-r_binary64`
69×	`distribute-rgt-out_binary64`
52×	`associate--r-_binary64` `associate-+r-_binary64`
33×	`distribute-lft-neg-out_binary64`
30×	`sqr-pow_binary64`
22×	`cube-prod_binary64`
19×	`pow-plus_binary64`
18×	`remove-double-neg_binary64`
14×	`difference-of-sqr--1_binary64`
12×	`cube-unmult_binary64` `associate--l-_binary64`
11×	`*-rgt-identity_binary64`
10×	`rem-sqrt-square_binary64` `*-lft-identity_binary64`
7×	`unpow3_binary64` `mul-1-neg_binary64`
6×	`unpow2_binary64` `difference-of-sqr-1_binary64`
4×	`distribute-rgt-neg-out_binary64`
3×	`sqr-neg_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
2×	`unpow1_binary64` `cube-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `cube-mult_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` `log-prod_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` `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-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_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	18	50
1	39	50
2	67	50
3	181	50
4	494	50
5	1458	50
6	3377	50
7	4994	50
8	4815	50
9	5092	50
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

785×	`distribute-rgt-neg-in_binary64`
770×	`unswap-sqr_binary64`
631×	`associate-l_binary64`
289×	`sub-neg_binary64`
232×	`associate-+l+_binary64`
216×	`cancel-sign-sub-inv_binary64`
209×	`distribute-neg-in_binary64`
200×	`associate-+r+_binary64`
176×	`distribute-rgt-in_binary64`
175×	`distribute-lft-neg-in_binary64`
162×	`+-commutative_binary64`
161×	`*-commutative_binary64`
150×	`distribute-lft-in_binary64`
115×	`associate--l+_binary64`
104×	`associate-r_binary64`
99×	`neg-sub0_binary64`
98×	`neg-mul-1_binary64`
96×	`associate-+l-_binary64`
69×	`associate--r+_binary64`
66×	`distribute-lft-out_binary64`
65×	`unsub-neg_binary64`
51×	`distribute-rgt-out_binary64`
40×	`distribute-lft-neg-out_binary64`
34×	`associate--r-_binary64`
31×	`distribute-rgt-neg-out_binary64`
29×	`sqr-pow_binary64`
28×	`associate-+r-_binary64`
19×	`cancel-sign-sub_binary64`
17×	`remove-double-neg_binary64` `swap-sqr_binary64`
14×	`difference-of-sqr--1_binary64`
13×	`pow-plus_binary64`
12×	`associate--l-_binary64`
11×	`*-rgt-identity_binary64`
10×	`*-lft-identity_binary64`
8×	`cube-unmult_binary64`
7×	`cube-prod_binary64` `mul-1-neg_binary64`
6×	`difference-of-sqr-1_binary64`
4×	`distribute-neg-out_binary64`
3×	`pow-sqr_binary64`
2×	`unpow2_binary64` `sub0-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `--rgt-identity_binary64` `+-rgt-identity_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` `log-prod_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` `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-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-square-sqrt_binary64` `times-frac_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	29	25
2	50	25
3	138	25
4	374	25
5	1115	25
6	2833	25
7	5126	25

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite92.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 1159 to 526 computations (54.6% saved)

series164.0ms (5.8%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

79.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1303 to 1110 computations (14.8% saved)

simplify115.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

766×	`unswap-sqr_binary64`
412×	`associate-l_binary64`
337×	`associate-r_binary64`
293×	`cancel-sign-sub-inv_binary64`
242×	`log-prod_binary64`
225×	`distribute-rgt-out_binary64`
218×	`distribute-rgt-neg-in_binary64`
201×	`distribute-lft-neg-in_binary64`
140×	`distribute-rgt-in_binary64`
131×	`*-commutative_binary64`
125×	`distribute-lft-in_binary64`
80×	`sqr-pow_binary64`
69×	`exp-prod_binary64`
58×	`distribute-neg-in_binary64`
45×	`cube-prod_binary64`
44×	`associate-+l+_binary64`
41×	`distribute-rgt-out--_binary64`
39×	`sub-neg_binary64`
36×	`+-commutative_binary64`
35×	`distribute-lft-neg-out_binary64`
32×	`associate-+r+_binary64`
31×	`neg-sub0_binary64`
30×	`log-pow_binary64`
27×	`neg-mul-1_binary64`
22×	`pow-sqr_binary64`
20×	`distribute-rgt-neg-out_binary64`
18×	`exp-sum_binary64`
17×	`pow-plus_binary64` `distribute-lft-out_binary64`
15×	`cube-unmult_binary64` `rem-sqrt-square_binary64`
14×	`unsub-neg_binary64`
13×	`swap-sqr_binary64`
8×	`associate--r+_binary64`
7×	`unpow3_binary64` `unpow2_binary64`
6×	`unpow1/2_binary64` `unpow1_binary64` `associate-+r-_binary64`
5×	`+-rgt-identity_binary64` `associate--l+_binary64` `associate-+l-_binary64`
4×	`cube-mult_binary64`
3×	`sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`difference-of-squares_binary64` `associate-/l*_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `count-2_binary64` `associate-/r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

87 → 56

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1551
1	229	1412
2	593	1394
3	2073	1394
4	4730	1394
5	5040	1394

prune44.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 685 to 336 computations (50.9% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
2.7b	(.f64 (.f64 a a) (*.f64 b b))

rewrite165.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

50×	`pow1_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`pow-prod-down_binary64`
21×	`prod-exp_binary64` `cbrt-unprod_binary64`
18×	`add-log-exp_binary64`
9×	`sum-log_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64` `associate-l_binary64`
2×	`pow2_binary64` `pow-sqr_binary64` `associate-r_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`unswap-sqr_binary64` `associate-+r+_binary64` `associate-+l+_binary64`

Counts

4 → 83

Calls

4 calls:

26.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
18.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
12.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
8.0ms	(.f64 (.f64 a a) (*.f64 b b))

Compiler

Compiled 2564 to 1319 computations (48.6% saved)

series211.0ms (7.5%)

Error

Counts

4 → 48

Calls

4 calls:

80.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
67.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
27.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
22.0ms	(.f64 (.f64 a a) (*.f64 b b))

Compiler

Compiled 1784 to 1519 computations (14.9% saved)

simplify85.0ms (3%)

Algorithm

1×	egg-herbie

Rules

786×	`distribute-rgt-in_binary64`
731×	`distribute-lft-in_binary64`
274×	`cancel-sign-sub-inv_binary64`
207×	`associate-r_binary64`
205×	`associate-l_binary64`
135×	`distribute-rgt-neg-in_binary64`
119×	`distribute-lft-neg-in_binary64`
103×	`unswap-sqr_binary64`
91×	`*-commutative_binary64`
82×	`distribute-rgt-out_binary64`
56×	`sqr-pow_binary64`
54×	`exp-prod_binary64`
45×	`sub-neg_binary64`
42×	`+-commutative_binary64`
41×	`distribute-rgt-out--_binary64`
38×	`cube-prod_binary64`
36×	`log-prod_binary64`
35×	`associate-+l+_binary64`
34×	`distribute-neg-in_binary64` `associate-+r+_binary64`
32×	`swap-sqr_binary64`
29×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-out_binary64`
22×	`distribute-lft-neg-out_binary64`
13×	`prod-exp_binary64` `unsub-neg_binary64`
12×	`associate--l+_binary64` `associate--r+_binary64`
11×	`unpow3_binary64`
10×	`exp-sum_binary64` `distribute-lft-out--_binary64`
9×	`pow-sqr_binary64`
8×	`cube-mult_binary64`
6×	`pow-plus_binary64` `distribute-rgt-neg-out_binary64`
3×	`cube-unmult_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-sqrt-square_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_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` `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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

131 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2692
1	344	2435
2	1490	2302
3	5000	2302

prune43.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

Counts

83 → 2

Compiler

Compiled 931 to 548 computations (41.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
26.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

rewrite93.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`cbrt-prod_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64`
3×	`pow-unpow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`sqr-pow_binary64`
1×	`pow1/3_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

11.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

Compiler

Compiled 1583 to 751 computations (52.6% saved)

series169.0ms (6%)

Error

Counts

4 → 45

Calls

4 calls:

78.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
50.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
17.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
8.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1538 to 1313 computations (14.6% saved)

simplify126.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-l_binary64`
488×	`associate-r_binary64`
420×	`log-prod_binary64`
243×	`exp-prod_binary64`
202×	`swap-sqr_binary64`
183×	`distribute-rgt-out_binary64`
175×	`associate-+l+_binary64`
160×	`cube-prod_binary64`
132×	`distribute-rgt-in_binary64`
130×	`*-commutative_binary64`
123×	`sqr-pow_binary64`
120×	`unswap-sqr_binary64`
118×	`cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64`
110×	`distribute-rgt-neg-in_binary64`
96×	`distribute-lft-neg-in_binary64`
93×	`distribute-lft-out_binary64`
60×	`exp-sum_binary64`
55×	`log-pow_binary64`
45×	`associate-/l*_binary64`
37×	`pow-sqr_binary64`
36×	`+-commutative_binary64`
34×	`pow-plus_binary64`
31×	`sub-neg_binary64`
26×	`cube-unmult_binary64`
23×	`distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
22×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`
16×	`unpow3_binary64`
14×	`associate-+l-_binary64`
13×	`associate-/l/_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`count-2_binary64` `associate-+r-_binary64`
9×	`cube-mult_binary64`
8×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `associate-*r/_binary64`
5×	`+-rgt-identity_binary64`
4×	`associate--r+_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-cbrt-cube_binary64` `sub0-neg_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
2×	`difference-of-squares_binary64` `distribute-neg-in_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `-rgt-identity_binary64` `-lft-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` `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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

107 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	2026
1	257	1846
2	683	1769
3	2605	1683
4	4807	1683
5	5012	1683

prune37.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	2	69

Error

Counts

69 → 2

Compiler

Compiled 801 to 391 computations (51.2% saved)

regimes474.0ms (16.9%)

Accuracy

Total 0.0b remaining (30.5%)

Threshold costs 0.0b (30.5%)

Compiler

Compiled 7106 to 5286 computations (25.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_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	17	34
1	28	34
2	29	34
3	27	34

end1.0ms (0%)

Compiler: Compiled 23 to 19 computations (17.4% saved)

sample694.0ms (24.7%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 87 to 74 computations (14.9% saved)

Details

analyze184.0ms (6.6%)

sample19.0ms (0.7%)

simplify48.0ms (1.7%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite92.0ms (3.3%)

series164.0ms (5.8%)

simplify115.0ms (4.1%)

prune44.0ms (1.6%)

localize14.0ms (0.5%)

rewrite165.0ms (5.9%)

series211.0ms (7.5%)

simplify85.0ms (3%)

prune43.0ms (1.5%)

localize11.0ms (0.4%)

rewrite93.0ms (3.3%)

series169.0ms (6%)

simplify126.0ms (4.5%)

prune37.0ms (1.3%)

regimes474.0ms (16.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample694.0ms (24.7%)

Profiling