Details

analyze70.0ms (2.1%)

Algorithm

1×

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)

sample25.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	238×	body	128	valid
2.0ms	5×	body	1024	valid
2.0ms	6×	body	512	valid
1.0ms	7×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify170.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	96	14
1	96	14

prune2.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2487`
8×	`log-prod_binary64_2573`
6×	`add-log-exp_binary64_2526`
5×	`add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
4×	`add-exp-log_binary64_2525` `associate--l+_binary64_2424` `log-div_binary64_2574` `pow1_binary64_2548`
3×	`distribute-lft-out_binary64_2438` `flip-+_binary64_2461` `flip3-+_binary64_2490` `add-cbrt-cube_binary64_2523`
2×	`associate--l-_binary64_2425`
1×	`flip--_binary64_2462` `sub-neg_binary64_2480` `cancel-sign-sub-inv_binary64_2453` `diff-log_binary64_2579` `rem-log-exp_binary64_2528` `+-commutative_binary64_2417` `sum-log_binary64_2578` `log-pow_binary64_2576` `flip3--_binary64_2491`

Counts

3 → 45

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
5.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series155.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
70.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
10.0ms	(+.f64 1 (exp.f64 x))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5066	767

prune77.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0b

Counts

55 → 3

Compiler

Compiled 1185 to 764 computations (35.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
4.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite47.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_2487`
28×	`add-sqr-sqrt_binary64_2509`
26×	`log-prod_binary64_2573`
22×	`add-cube-cbrt_binary64_2522`
20×	`times-frac_binary64_2493`
13×	`distribute-lft-out_binary64_2438`
8×	`pow-pow_binary64_2559`
7×	`add-exp-log_binary64_2525` `unpow-prod-down_binary64_2566` `pow1_binary64_2548`
6×	`pow-unpow_binary64_2564` `exp-prod_binary64_2539` `add-log-exp_binary64_2526`
5×	`distribute-lft-out--_binary64_2439` `add-cbrt-cube_binary64_2523`
4×	`difference-of-squares_binary64_2456`
3×	`cancel-sign-sub-inv_binary64_2453` `cube-prod_binary64_2515` `sqr-pow_binary64_2459` `unpow2_binary64_2552`
2×	`pow-exp_binary64_2555` `associate-/r/_binary64_2433` `pow-to-exp_binary64_2556` `rem-log-exp_binary64_2528`
1×	`flip--_binary64_2462` `sub-neg_binary64_2480` `unpow3_binary64_2553` `diff-log_binary64_2579` `rem-cube-cbrt_binary64_2510` `distribute-rgt-out--_binary64_2441` `flip-+_binary64_2461` `div-inv_binary64_2484` `flip3-+_binary64_2490` `div-exp_binary64_2538` `log-div_binary64_2574` `cube-mult_binary64_2517` `log-pow_binary64_2576` `flip3--_binary64_2491`

Counts

4 → 104

Calls

4 calls:

18.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) 3)

series498.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

402.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
37.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
37.0ms	(pow.f64 (exp.f64 x) 3)
22.0ms	(pow.f64 (exp.f64 x) 2)

simplify93.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4971	2243
1	4971	2243

prune152.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 3103 to 1850 computations (40.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_2487`
14×	`log-prod_binary64_2573`
8×	`sqrt-prod_binary64_2503` `add-cube-cbrt_binary64_2522` `pow1_binary64_2548` `add-log-exp_binary64_2526` `add-sqr-sqrt_binary64_2509`
6×	`add-exp-log_binary64_2525` `log-pow_binary64_2576`
4×	`distribute-lft-out_binary64_2438` `flip-+_binary64_2461` `flip3-+_binary64_2490` `add-cbrt-cube_binary64_2523` `log-div_binary64_2574` `sqrt-div_binary64_2504`
2×	`rem-log-exp_binary64_2528` `sqrt-pow1_binary64_2505` `+-commutative_binary64_2417` `sum-log_binary64_2578` `pow1/2_binary64_2567`

Counts

4 → 64

Calls

4 calls:

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

series234.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
102.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
9.0ms	(+.f64 1 (exp.f64 x))
9.0ms	(+.f64 1 (exp.f64 x))

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5019	988

prune86.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1654 to 1058 computations (36% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3)
13.2b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2487`
12×	`cbrt-prod_binary64_2518`
11×	`add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
6×	`add-exp-log_binary64_2525` `unpow-prod-down_binary64_2566` `cube-prod_binary64_2515` `pow1_binary64_2548` `add-log-exp_binary64_2526`
5×	`add-cbrt-cube_binary64_2523`
4×	`cube-div_binary64_2516` `log-prod_binary64_2573`
3×	`pow-unpow_binary64_2564`
2×	`flip--_binary64_2462` `unpow3_binary64_2553` `distribute-lft-out_binary64_2438` `cbrt-div_binary64_2519` `flip-+_binary64_2461` `flip3-+_binary64_2490` `log-div_binary64_2574` `cube-mult_binary64_2517` `sqr-pow_binary64_2459` `flip3--_binary64_2491`
1×	`pow-exp_binary64_2555` `rem-cbrt-cube_binary64_2511` `rem-cube-cbrt_binary64_2510` `pow-to-exp_binary64_2556` `pow-pow_binary64_2559` `rem-log-exp_binary64_2528` `pow1/3_binary64_2569` `+-commutative_binary64_2417` `sum-log_binary64_2578` `log-pow_binary64_2576`

Counts

4 → 75

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3))
5.0ms	(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3)
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series355.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3)
81.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
79.0ms	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3))
9.0ms	(+.f64 1 (exp.f64 x))

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5080	1676

prune97.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

Compiler

Compiled 1708 to 1070 computations (37.4% saved)

regimes34.0ms (1%)

Compiler: Compiled 172 to 147 computations (14.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	33
1	53	33

end0.0ms (0%)

sample850.0ms (26%)

Algorithm

1×

intervals

Results

367.0ms	7382×	body	128	valid
100.0ms	232×	body	1024	valid
51.0ms	225×	body	512	valid
20.0ms	157×	body	256	valid
4.0ms	4×	body	2048	valid
3.0ms	47×	body	128	invalid
0.0ms	8×	body	128	overflowed

Compiler

Compiled 107 to 88 computations (17.8% saved)

Details

analyze70.0ms (2.1%)

sample25.0ms (0.8%)

simplify170.0ms (5.2%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite18.0ms (0.6%)

series155.0ms (4.7%)

simplify66.0ms (2%)

prune77.0ms (2.4%)

localize14.0ms (0.4%)

rewrite47.0ms (1.5%)

series498.0ms (15.3%)

simplify93.0ms (2.8%)

prune152.0ms (4.7%)

localize12.0ms (0.4%)

rewrite23.0ms (0.7%)

series234.0ms (7.2%)

simplify61.0ms (1.9%)

prune86.0ms (2.6%)

localize11.0ms (0.3%)

rewrite25.0ms (0.8%)

series355.0ms (10.9%)

simplify77.0ms (2.3%)

prune97.0ms (3%)

regimes34.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample850.0ms (26%)

Profiling