Details

analyze123.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Rules

868×	`unswap-sqr_binary64`
394×	`associate-l_binary64`
352×	`exp-prod_binary64`
334×	`distribute-neg-frac_binary64`
316×	`associate-/l/_binary64`
260×	`associate-r_binary64`
254×	`associate-/r/_binary64`
240×	`sqr-pow_binary64`
224×	`associate-/l_binary64` `-commutative_binary64`
152×	`cancel-sign-sub-inv_binary64` `associate-*r/_binary64`
150×	`times-frac_binary64`
142×	`div-sub_binary64`
134×	`associate-/r*_binary64`
110×	`exp-diff_binary64`
108×	`pow-plus_binary64` `associate-*l/_binary64`
106×	`cube-prod_binary64`
102×	`pow-sqr_binary64`
100×	`distribute-rgt-neg-in_binary64`
82×	`distribute-lft-neg-in_binary64`
72×	`div-exp_binary64`
64×	`neg-sub0_binary64`
62×	`neg-mul-1_binary64`
60×	`exp-sqrt_binary64`
54×	`unpow3_binary64`
52×	`prod-exp_binary64` `rem-sqrt-square_binary64`
44×	`swap-sqr_binary64`
34×	`sub-neg_binary64`
28×	`cube-mult_binary64`
26×	`exp-lft-sqr_binary64` `cube-unmult_binary64`
24×	`distribute-rgt-out_binary64`
20×	`unpow2_binary64` `*-lft-identity_binary64`
14×	`unpow1_binary64` `exp-sum_binary64` `*-rgt-identity_binary64`
12×	`distribute-rgt-in_binary64`
10×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
8×	`unpow1/2_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
6×	`rec-exp_binary64` `remove-double-neg_binary64`
4×	`sub0-neg_binary64` `remove-double-div_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-in_binary64` `associate--r+_binary64` `associate-+l-_binary64` `+-commutative_binary64`
2×	`unpow-1_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-neg_binary64` `e-exp-1_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` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	29	30
2	41	30
3	56	30
4	99	30
5	196	30
6	419	30
7	1110	30
8	2748	30
9	3722	30
10	4851	30
11	4863	30
12	4986	30
13	4924	30
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample32.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	62×	body	1024	valid
5.0ms	138×	body	128	valid
3.0ms	29×	body	512	valid
2.0ms	8×	body	2048	valid
1.0ms	19×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
434×	`unswap-sqr_binary64`
378×	`associate-*l/_binary64`
351×	`associate-/l*_binary64`
326×	`exp-prod_binary64`
324×	`distribute-neg-frac_binary64`
252×	`*-commutative_binary64`
197×	`associate-l_binary64`
184×	`sqr-pow_binary64`
158×	`associate-/l/_binary64`
138×	`prod-exp_binary64`
130×	`associate-r_binary64`
127×	`associate-/r/_binary64`
120×	`distribute-rgt-neg-in_binary64`
98×	`div-sub_binary64`
87×	`cancel-sign-sub-inv_binary64`
85×	`exp-diff_binary64`
82×	`sub-neg_binary64`
80×	`pow-sqr_binary64`
77×	`distribute-lft-neg-in_binary64`
76×	`associate-*r/_binary64`
73×	`cube-prod_binary64`
70×	`div-exp_binary64`
67×	`associate-/r*_binary64`
60×	`pow-plus_binary64`
57×	`rem-sqrt-square_binary64`
44×	`exp-sum_binary64` `neg-mul-1_binary64`
40×	`neg-sub0_binary64`
38×	`exp-sqrt_binary64`
34×	`unpow3_binary64`
30×	`unsub-neg_binary64`
28×	`distribute-rgt-out_binary64`
26×	`distribute-rgt-in_binary64`
23×	`*-rgt-identity_binary64`
22×	`swap-sqr_binary64`
20×	`cube-mult_binary64` `/-rgt-identity_binary64`
17×	`exp-lft-sqr_binary64`
16×	`cube-unmult_binary64`
13×	`distribute-lft-neg-out_binary64`
12×	`associate-+l-_binary64`
11×	`associate-+r-_binary64`
10×	`unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `*-lft-identity_binary64`
9×	`distribute-lft-out_binary64` `associate--l-_binary64`
8×	`remove-double-div_binary64`
7×	`distribute-rgt-out--_binary64` `associate--r-_binary64` `associate--r+_binary64`
6×	`remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
5×	`distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
4×	`distribute-lft-in_binary64` `associate--l+_binary64`
3×	`unpow1/2_binary64`
2×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `--rgt-identity_binary64` `distribute-neg-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` `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` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	33	15
4	57	15
5	109	15
6	227	15
7	585	15
8	1455	15
9	2454	15
10	4303	15
11	4786	15
12	4758	15

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.2b

Counts

1 → 1

Compiler

Compiled 10 to 11 computations (-10% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.2b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite125.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

27.8b

Rules

27×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out_binary64`
4×	`difference-of-squares_binary64` `associate-/r*_binary64`
3×	`pow1_binary64` `cancel-sign-sub-inv_binary64` `associate-/l*_binary64`
2×	`difference-of-sqr-1_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 66

Calls

3 calls:

11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1157 to 1054 computations (8.9% saved)

series44.0ms (1.4%)

Error

0.0b

Counts

3 → 16

Calls

3 calls:

16.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
11.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 366 to 365 computations (0.3% saved)

simplify143.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

616×	`cancel-sign-sub-inv_binary64`
362×	`times-frac_binary64`
282×	`sub-neg_binary64`
208×	`*-commutative_binary64`
191×	`unswap-sqr_binary64`
182×	`div-sub_binary64`
155×	`distribute-rgt-in_binary64`
146×	`exp-prod_binary64`
141×	`associate-/l*_binary64`
132×	`associate-+l+_binary64`
120×	`sqr-pow_binary64` `associate-l_binary64` `associate-+r+_binary64`
118×	`distribute-lft-in_binary64`
109×	`associate-r_binary64`
101×	`exp-sum_binary64`
98×	`associate-/r*_binary64`
97×	`distribute-rgt-out_binary64`
96×	`associate-/l/_binary64`
85×	`distribute-rgt-neg-in_binary64`
83×	`associate-+l-_binary64`
81×	`+-commutative_binary64`
78×	`neg-mul-1_binary64`
76×	`associate-*l/_binary64`
75×	`neg-sub0_binary64`
73×	`distribute-lft-neg-in_binary64`
68×	`difference-of-squares_binary64`
64×	`unsub-neg_binary64`
56×	`cube-prod_binary64`
51×	`distribute-lft-out_binary64`
50×	`unpow3_binary64`
42×	`sub0-neg_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
41×	`exp-diff_binary64`
40×	`associate-*r/_binary64`
39×	`associate--l+_binary64`
33×	`distribute-rgt-out--_binary64` `associate--r+_binary64`
29×	`*-lft-identity_binary64`
28×	`*-rgt-identity_binary64`
26×	`pow-sqr_binary64`
24×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
23×	`cube-div_binary64` `distribute-lft-out--_binary64`
22×	`cube-unmult_binary64`
21×	`log-prod_binary64`
20×	`log-div_binary64`
18×	`pow-plus_binary64` `prod-exp_binary64`
16×	`rem-sqrt-square_binary64`
12×	`remove-double-neg_binary64`
11×	`mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-lft1-in_binary64`
10×	`difference-of-sqr-1_binary64`
9×	`difference-of-sqr--1_binary64`
8×	`exp-lft-sqr_binary64` `distribute-lft-neg-out_binary64`
7×	`unpow1/2_binary64` `div-exp_binary64` `cube-mult_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `associate--l-_binary64`
6×	`--rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-rec_binary64` `unpow1_binary64`
4×	`exp-neg_binary64` `sqr-neg_binary64` `count-2_binary64` `associate--r-_binary64`
3×	`exp-sqrt_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
2×	`cube-neg_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64`
1×	`unpow2_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `distribute-frac-neg_binary64`

Counts

82 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1515
1	271	1442
2	572	1422
3	1346	1419
4	3010	1419
5	4447	1419
6	4983	1419
7	4855	1419

prune44.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	2	71

Error

0.0b

Counts

71 → 2

Compiler

Compiled 912 to 816 computations (10.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.1b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 2/15 (pow.f64 x 5)))

rewrite86.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
4×	`cube-prod_binary64` `sqr-pow_binary64`
3×	`pow1_binary64`
2×	`sum-log_binary64` `associate-+l+_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `+-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 71

Calls

3 calls:

6.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 2/15 (pow.f64 x 5)))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 1294 to 1024 computations (20.9% saved)

series32.0ms (1%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

11.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 2/15 (pow.f64 x 5)))
10.0ms	(*.f64 2/15 (pow.f64 x 5))
9.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 261 to 242 computations (7.3% saved)

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
447×	`exp-prod_binary64`
390×	`log-prod_binary64`
337×	`cancel-sign-sub-inv_binary64`
273×	`*-commutative_binary64`
203×	`distribute-rgt-neg-in_binary64`
159×	`distribute-lft-neg-in_binary64`
153×	`distribute-rgt-in_binary64`
142×	`distribute-lft-in_binary64`
106×	`sqr-pow_binary64`
96×	`associate-l_binary64` `associate-r_binary64`
90×	`associate--r+_binary64`
89×	`unsub-neg_binary64`
77×	`swap-sqr_binary64`
74×	`cube-prod_binary64`
71×	`sub-neg_binary64`
69×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
60×	`neg-mul-1_binary64` `neg-sub0_binary64`
56×	`associate-/l*_binary64`
53×	`distribute-rgt-out_binary64`
46×	`unpow3_binary64`
42×	`associate-/r*_binary64` `associate--l+_binary64`
41×	`distribute-neg-in_binary64` `associate-+l+_binary64`
36×	`exp-sum_binary64`
35×	`associate-+r+_binary64`
27×	`log-pow_binary64` `pow-plus_binary64` `+-commutative_binary64`
22×	`associate--r-_binary64`
18×	`exp-diff_binary64`
17×	`pow-sqr_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`times-frac_binary64`
13×	`cube-unmult_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
12×	`cube-mult_binary64`
11×	`associate-/l/_binary64` `associate-+r-_binary64`
10×	`rem-sqrt-square_binary64` `distribute-neg-out_binary64` `associate-/r/_binary64`
8×	`count-2_binary64`
7×	`sub0-neg_binary64` `distribute-lft-out_binary64`
6×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `associate--l-_binary64`
5×	`unpow1/3_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-*l/_binary64`
3×	`div-exp_binary64` `--rgt-identity_binary64`
2×	`unpow2_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-rgt1-in_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

82 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	1100
1	289	1021
2	785	1008
3	1973	1008
4	4455	1000
5	5106	1000

prune24.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	42	2	44

Error

Counts

44 → 2

Compiler

Compiled 511 to 394 computations (22.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.1b	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

rewrite81.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`cube-prod_binary64` `sqr-pow_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 68

Calls

3 calls:

6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 2/15 (pow.f64 x 5))
4.0ms	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1231 to 980 computations (20.4% saved)

series44.0ms (1.4%)

Error

Counts

3 → 12

Calls

3 calls:

20.0ms	(-.f64 (.f64 2/15 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
10.0ms	(*.f64 2/15 (pow.f64 x 5))
8.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 282 to 259 computations (8.2% saved)

simplify101.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

544×	`unswap-sqr_binary64`
387×	`exp-prod_binary64`
299×	`*-commutative_binary64`
253×	`distribute-rgt-neg-in_binary64`
247×	`distribute-lft-neg-in_binary64`
231×	`log-prod_binary64`
178×	`cancel-sign-sub-inv_binary64`
169×	`times-frac_binary64`
152×	`distribute-rgt-in_binary64`
139×	`cube-prod_binary64`
138×	`unsub-neg_binary64`
135×	`neg-mul-1_binary64`
130×	`neg-sub0_binary64`
121×	`distribute-lft-in_binary64`
106×	`sqr-pow_binary64`
96×	`associate-l_binary64`
93×	`associate-r_binary64`
92×	`unpow3_binary64`
74×	`sub-neg_binary64`
70×	`pow-sqr_binary64` `associate-+r+_binary64`
66×	`swap-sqr_binary64`
65×	`associate-+l+_binary64`
46×	`associate-/l*_binary64`
45×	`log-pow_binary64` `rem-sqrt-square_binary64`
39×	`distribute-rgt-out_binary64`
32×	`associate-/r*_binary64`
30×	`pow-plus_binary64`
20×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-commutative_binary64`
19×	`cube-unmult_binary64`
18×	`exp-sum_binary64`
16×	`exp-diff_binary64` `distribute-lft-neg-out_binary64`
15×	`distribute-rgt-neg-out_binary64`
12×	`unpow1/3_binary64`
11×	`associate-*r/_binary64`
10×	`associate-/l/_binary64`
9×	`sqr-neg_binary64` `associate-/r/_binary64`
8×	`count-2_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out_binary64`
5×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`div-sub_binary64`
2×	`unpow2_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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` `unpow1/2_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

80 → 54

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	122	986
1	248	922
2	690	921
3	1393	921
4	3682	910
5	4793	907
6	4852	907

prune33.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

56 → 2

Compiler

Compiled 650 to 506 computations (22.2% saved)

regimes833.0ms (26.9%)

Accuracy

Total 0.2b remaining (93.9%)

Threshold costs 0.2b (93.9%)

Compiler

Compiled 7486 to 7746 computations (-3.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`if-if-or-not_binary64` `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` `if-if-and-not_binary64` `if-if-and_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` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	85
1	51	85
2	58	85
3	62	85
4	65	85
5	66	85
6	62	85

end2.0ms (0.1%)

Compiler: Compiled 56 to 50 computations (10.7% saved)

sample1.1s (36.8%)

Algorithm

1×

intervals

Results

393.0ms	1966×	body	1024	valid
151.0ms	4271×	body	128	valid
129.0ms	1061×	body	512	valid
49.0ms	203×	body	2048	valid
45.0ms	499×	body	256	valid

Compiler

Compiled 93 to 96 computations (-3.2% saved)

Details

analyze123.0ms (4%)

sample32.0ms (1%)

simplify82.0ms (2.7%)

prune2.0ms (0%)

localize11.0ms (0.4%)

rewrite125.0ms (4%)

series44.0ms (1.4%)

simplify143.0ms (4.6%)

prune44.0ms (1.4%)

localize8.0ms (0.3%)

rewrite86.0ms (2.8%)

series32.0ms (1%)

simplify91.0ms (2.9%)

prune24.0ms (0.8%)

localize8.0ms (0.3%)

rewrite81.0ms (2.6%)

series44.0ms (1.4%)

simplify101.0ms (3.3%)

prune33.0ms (1.1%)

regimes833.0ms (26.9%)

bsearch1.0ms (0%)

simplify6.0ms (0.2%)

end2.0ms (0.1%)

sample1.1s (36.8%)

Profiling