Details

analyze262.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4882	28
1	4882	28
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
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	240×	body	128	valid
2.0ms	6×	body	1024	valid
1.0ms	6×	body	512	valid
1.0ms	4×	body	256	valid
0.0ms	1×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify132.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite63.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64_3488`
8×	`log-prod_binary64_3574`
6×	`add-log-exp_binary64_3527`
5×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510`
4×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `log-div_binary64_3575` `associate--l+_binary64_3425`
3×	`add-cbrt-cube_binary64_3524` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439`
2×	`associate--l-_binary64_3426`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `cancel-sign-sub-inv_binary64_3454` `sum-log_binary64_3579` `+-commutative_binary64_3418` `log-pow_binary64_3577` `rem-log-exp_binary64_3529`

Counts

3 → 45

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 763 to 425 computations (44.3% saved)

series258.0ms (4.1%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

168.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
61.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
14.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 553 to 426 computations (23% saved)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5100	895

prune63.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

Counts

70 → 3

Compiler

Compiled 963 to 537 computations (44.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (*.f64 x y))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
4.7b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite209.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`*-un-lft-identity_binary64_3488`
28×	`add-sqr-sqrt_binary64_3510`
26×	`log-prod_binary64_3574` `associate--l+_binary64_3425`
22×	`add-cube-cbrt_binary64_3523`
20×	`times-frac_binary64_3494`
13×	`distribute-lft-out_binary64_3439`
8×	`pow-pow_binary64_3560`
7×	`add-log-exp_binary64_3527` `unpow-prod-down_binary64_3567`
6×	`pow1_binary64_3549` `pow-unpow_binary64_3565` `exp-prod_binary64_3540`
5×	`add-cbrt-cube_binary64_3524` `distribute-lft-out--_binary64_3440`
4×	`add-exp-log_binary64_3526` `difference-of-squares_binary64_3457` `cancel-sign-sub-inv_binary64_3454`
3×	`unpow2_binary64_3553` `sqr-pow_binary64_3460` `cube-prod_binary64_3516`
2×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `associate-/r/_binary64_3434`
1×	`distribute-rgt-out--_binary64_3442` `unpow3_binary64_3554` `cube-mult_binary64_3518` `rem-cube-cbrt_binary64_3511` `log-div_binary64_3575` `associate--l-_binary64_3426` `div-inv_binary64_3485` `flip3-+_binary64_3491` `flip-+_binary64_3462`

Counts

4 → 106

Calls

4 calls:

20.0ms	(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (*.f64 x y))
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.0ms	(pow.f64 (exp.f64 x) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 3324 to 2003 computations (39.7% saved)

series638.0ms (10.2%)

Error

Counts

4 → 30

Calls

4 calls:

511.0ms	(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (*.f64 x y))
39.0ms	(pow.f64 (exp.f64 x) 3)
36.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
23.0ms	(pow.f64 (exp.f64 x) 2)

Compiler

Compiled 1412 to 1034 computations (26.8% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5166	2459

prune181.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	136	3	139

Error

Counts

139 → 3

Compiler

Compiled 3680 to 2187 computations (40.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite98.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_3488`
14×	`log-prod_binary64_3574`
8×	`pow1_binary64_3549` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `sqrt-prod_binary64_3504` `add-log-exp_binary64_3527`
6×	`log-pow_binary64_3577` `add-exp-log_binary64_3526`
4×	`flip3-+_binary64_3491` `sqrt-div_binary64_3505` `log-div_binary64_3575` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439` `add-cbrt-cube_binary64_3524`
2×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-log-exp_binary64_3529` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

4 → 64

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 (exp.f64 x) 1)
4.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 1530 to 974 computations (36.3% saved)

series264.0ms (4.2%)

Error

Counts

4 → 24

Calls

4 calls:

99.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
98.0ms	(log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))
16.0ms	(+.f64 1 (exp.f64 x))
16.0ms	(+.f64 (exp.f64 x) 1)

Compiler

Compiled 1368 to 1108 computations (19% saved)

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4886	1150
1	4886	1150

prune100.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1931 to 1234 computations (36.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 x y) 3)
0.6b	(.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (+.f64 (.f64 x y) (log.f64 (+.f64 (exp.f64 x) 1))))
0.7b	(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)
17.8b	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (+.f64 (.f64 x y) (log.f64 (+.f64 (exp.f64 x) 1))))))

rewrite400.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

70×	`add-sqr-sqrt_binary64_3510`
39×	`times-frac_binary64_3494`
36×	`*-un-lft-identity_binary64_3488`
32×	`difference-of-squares_binary64_3457`
28×	`add-cube-cbrt_binary64_3523`
26×	`sqr-pow_binary64_3460`
13×	`pow1_binary64_3549` `unpow-prod-down_binary64_3567` `cube-prod_binary64_3516` `associate-/l*_binary64_3433`
12×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
6×	`pow-unpow_binary64_3565`
4×	`add-log-exp_binary64_3527` `difference-cubes_binary64_3490` `distribute-lft-out--_binary64_3440` `associate-l_binary64_3429`
3×	`associate-/r_binary64_3432` `log-pow_binary64_3577` `pow-pow_binary64_3560` `pow-exp_binary64_3556` `rem-cube-cbrt_binary64_3511` `associate-r*_binary64_3428`
2×	`associate-/l/_binary64_3435` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `flip-+_binary64_3462` `pow-to-exp_binary64_3557` `unpow3_binary64_3554` `cube-mult_binary64_3518` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `associate-*r/_binary64_3430`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `flip3--_binary64_3492` `flip--_binary64_3463` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `*-commutative_binary64_3419`

Counts

4 → 142

Calls

4 calls:

21.0ms	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (+.f64 (.f64 x y) (log.f64 (+.f64 (exp.f64 x) 1))))))
8.0ms	(.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (+.f64 (.f64 x y) (log.f64 (+.f64 (exp.f64 x) 1))))
4.0ms	(pow.f64 (*.f64 x y) 3)
3.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)

Compiler

Compiled 8377 to 4384 computations (47.7% saved)

series1.3s (20%)

Error

Counts

4 → 39

Calls

4 calls:

636.0ms	(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (+.f64 (.f64 x y) (log.f64 (+.f64 (exp.f64 x) 1))))))
375.0ms	(.f64 (log.f64 (+.f64 (exp.f64 x) 1)) (+.f64 (.f64 x y) (log.f64 (+.f64 (exp.f64 x) 1))))
101.0ms	(pow.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 3)
89.0ms	(pow.f64 (*.f64 x y) 3)

Compiler

Compiled 2914 to 1899 computations (34.8% saved)

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5085	8248

prune440.0ms (7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	181	3	184

Error

Counts

184 → 3

Compiler

Compiled 8736 to 4826 computations (44.8% saved)

regimes145.0ms (2.3%)

Accuracy

Total 0.3b remaining (58.6%)

Threshold costs 0.3b (58.6%)

Compiler

Compiled 1372 to 1073 computations (21.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	33
1	53	33

end0.0ms (0%)

sample1.3s (20.8%)

Algorithm

1×

intervals

Results

367.0ms	7402×	body	128	valid
87.0ms	212×	body	1024	valid
55.0ms	244×	body	512	valid
18.0ms	140×	body	256	valid
3.0ms	56×	body	128	invalid
2.0ms	2×	body	2048	valid
0.0ms	4×	body	128	overflowed

Compiler

Compiled 483 to 377 computations (21.9% saved)

Details

analyze262.0ms (4.2%)

sample26.0ms (0.4%)

simplify132.0ms (2.1%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite63.0ms (1%)

series258.0ms (4.1%)

simplify70.0ms (1.1%)

prune63.0ms (1%)

localize13.0ms (0.2%)

rewrite209.0ms (3.3%)

series638.0ms (10.2%)

simplify77.0ms (1.2%)

prune181.0ms (2.9%)

localize13.0ms (0.2%)

rewrite98.0ms (1.6%)

series264.0ms (4.2%)

simplify90.0ms (1.4%)

prune100.0ms (1.6%)

localize19.0ms (0.3%)

rewrite400.0ms (6.4%)

series1.3s (20%)

simplify123.0ms (2%)

prune440.0ms (7%)

regimes145.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (20.8%)

Profiling