Details

analyze536.0ms (6.1%)

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)

sample41.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms	244×	body	128	valid
2.0ms	3×	body	1024	valid
2.0ms	4×	body	512	valid
1.0ms	5×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify276.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

prune12.0ms (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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.3b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
4×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `associate--l+_binary64_2061` `log-div_binary64_2211`
3×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162`
2×	`associate--l-_binary64_2062` `distribute-lft-out_binary64_2075` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `rem-log-exp_binary64_2165` `log-pow_binary64_2213` `diff-log_binary64_2216` `sub-neg_binary64_2117`

Counts

2 → 33

Calls

2 calls:

12.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
9.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

series409.0ms (4.6%)

Counts

2 → 20

Calls

2 calls:

303.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
106.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 255 to 232 computations (9% saved)

simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4887	778
1	4887	778

prune104.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Error

Counts

54 → 4

Compiler

Compiled 752 to 434 computations (42.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
1.0b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.0b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite64.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2124`
14×	`log-prod_binary64_2210`
12×	`sqrt-prod_binary64_2140`
10×	`sqrt-div_binary64_2141` `add-sqr-sqrt_binary64_2146`
9×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159`
8×	`log-div_binary64_2211`
7×	`add-log-exp_binary64_2163`
6×	`log-pow_binary64_2213` `add-exp-log_binary64_2162`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`associate--l-_binary64_2062` `add-cbrt-cube_binary64_2160`
3×	`sqrt-pow1_binary64_2142` `distribute-lft-out_binary64_2075` `pow1/2_binary64_2204`
2×	`rem-log-exp_binary64_2165` `associate-+r-_binary64_2058` `associate-+l-_binary64_2059` `diff-log_binary64_2216`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `rem-sqrt-square_binary64_2137` `associate--l+_binary64_2061` `sub-neg_binary64_2117`

Counts

4 → 74

Calls

4 calls:

28.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
9.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
9.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
7.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

series881.0ms (9.9%)

Counts

4 → 29

Calls

4 calls:

464.0ms	(-.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
169.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
169.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
78.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 950 to 855 computations (10% saved)

simplify163.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5014	1617

prune205.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	103	4	107

Error

Counts

107 → 4

Compiler

Compiled 2121 to 1339 computations (36.9% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y)))
0.0b	(.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_2146`
12×	`cancel-sign-sub-inv_binary64_2090`
11×	`*-un-lft-identity_binary64_2124`
10×	`associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
9×	`add-cube-cbrt_binary64_2159`
5×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `associate--l+_binary64_2061` `sub-neg_binary64_2117` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`log-prod_binary64_2210` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-+l+_binary64_2057`
2×	`associate-*r/_binary64_2066`
1×	`flip--_binary64_2099` `difference-of-squares_binary64_2093` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`

Counts

2 → 56

Calls

2 calls:

18.0ms	(.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y))
17.0ms	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y)))

series642.0ms (7.2%)

Counts

2 → 27

Calls

2 calls:

432.0ms	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y)))
209.0ms	(.f64 x (-.f64 (+.f64 1/2 (.f64 x 1/8)) y))

Compiler

Compiled 504 to 457 computations (9.3% saved)

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4901	1316
1	4901	1316

prune142.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Error

Counts

87 → 4

Compiler

Compiled 1320 to 960 computations (27.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
0.3b	(log.f64 (+.f64 1 (exp.f64 x)))
1.2b	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`log-prod_binary64_2210`
13×	`*-un-lft-identity_binary64_2124`
9×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
8×	`log-div_binary64_2211`
7×	`pow1_binary64_2185`
6×	`add-exp-log_binary64_2162`
5×	`add-log-exp_binary64_2163`
4×	`associate--l+_binary64_2061` `exp-prod_binary64_2176` `add-cbrt-cube_binary64_2160`
3×	`flip--_binary64_2099` `flip3--_binary64_2128` `log-pow_binary64_2213` `exp-sum_binary64_2170`
2×	`rem-log-exp_binary64_2165` `associate--l-_binary64_2062` `exp-diff_binary64_2172` `distribute-lft-out_binary64_2075` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`cancel-sign-sub-inv_binary64_2090` `diff-log_binary64_2216` `rem-exp-log_binary64_2164` `sub-neg_binary64_2117`

Counts

4 → 64

Calls

4 calls:

12.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
9.0ms	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))
8.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
5.0ms	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))

series2.3s (25.7%)

Counts

4 → 47

Calls

4 calls:

1.6s	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))
317.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
272.0ms	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
117.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 1279 to 1122 computations (12.3% saved)

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5483	2191

prune198.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Error

Counts

115 → 4

Compiler

Compiled 1861 to 1124 computations (39.6% saved)

regimes227.0ms (2.6%)

Accuracy

Total 0.3b remaining (47.9%)

Threshold costs 0.3b (47.9%)

Compiler

Compiled 734 to 667 computations (9.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	62	35
1	62	35

end0.0ms (0%)

sample2.0s (23.1%)

Algorithm

1×

intervals

Results

682.0ms	7406×	body	128	valid
148.0ms	204×	body	1024	valid
103.0ms	246×	body	512	valid
34.0ms	144×	body	256	valid
5.0ms	45×	body	128	invalid
1.0ms	6×	body	128	overflowed

Compiler

Compiled 278 to 246 computations (11.5% saved)

Details

analyze536.0ms (6.1%)

sample41.0ms (0.5%)

simplify276.0ms (3.1%)

prune12.0ms (0.1%)

localize16.0ms (0.2%)

rewrite25.0ms (0.3%)

series409.0ms (4.6%)

simplify130.0ms (1.5%)

prune104.0ms (1.2%)

localize23.0ms (0.3%)

rewrite64.0ms (0.7%)

series881.0ms (9.9%)

simplify163.0ms (1.8%)

prune205.0ms (2.3%)

localize19.0ms (0.2%)

rewrite43.0ms (0.5%)

series642.0ms (7.2%)

simplify155.0ms (1.8%)

prune142.0ms (1.6%)

localize20.0ms (0.2%)

rewrite43.0ms (0.5%)

series2.3s (25.7%)

simplify157.0ms (1.8%)

prune198.0ms (2.2%)

regimes227.0ms (2.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.0s (23.1%)

Profiling