Details

analyze70.0ms (2.7%)

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)

sample23.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	238×	body	128	valid
2.0ms	9×	body	512	valid
2.0ms	4×	body	1024	valid
1.0ms	5×	body	256	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 19 to 19 computations (0% saved)

simplify224.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

prune3.0ms (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

0.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.4%)

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))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2124`
8×	`log-prod_binary64_2210`
6×	`add-log-exp_binary64_2163`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
4×	`pow1_binary64_2185` `associate--l+_binary64_2061` `log-div_binary64_2211` `add-exp-log_binary64_2162`
3×	`distribute-lft-out_binary64_2075` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`
2×	`associate--l-_binary64_2062`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `rem-log-exp_binary64_2165` `sum-log_binary64_2215` `log-pow_binary64_2213` `diff-log_binary64_2216` `+-commutative_binary64_2054` `sub-neg_binary64_2117`

Counts

3 → 45

Calls

3 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(+.f64 1 (exp.f64 x))

series92.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
41.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	(+.f64 1 (exp.f64 x))

simplify104.0ms (4%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4858	767
1	4858	767

prune48.0ms (1.9%)

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

Error

Counts

55 → 3

Compiler

Compiled 822 to 469 computations (42.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.2b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_2124`
14×	`log-prod_binary64_2210`
8×	`sqrt-prod_binary64_2140` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
6×	`log-pow_binary64_2213` `add-exp-log_binary64_2162`
4×	`distribute-lft-out_binary64_2075` `sqrt-div_binary64_2141` `flip3-+_binary64_2127` `log-div_binary64_2211` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`
2×	`rem-log-exp_binary64_2165` `sum-log_binary64_2215` `sqrt-pow1_binary64_2142` `+-commutative_binary64_2054` `pow1/2_binary64_2204`

Counts

4 → 64

Calls

4 calls:

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

series149.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
68.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
6.0ms	(+.f64 1 (exp.f64 x))
6.0ms	(+.f64 1 (exp.f64 x))

simplify70.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4978	988
1	4978	988

prune85.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1667 to 1069 computations (35.9% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146`
6×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
5×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`log-prod_binary64_2210` `associate-l_binary64_2065` `associate-r_binary64_2064` `associate-+l+_binary64_2057`
2×	`sum-log_binary64_2215` `diff-log_binary64_2216` `associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-in_binary64_2073`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `associate--l+_binary64_2061` `sub-neg_binary64_2117` `cbrt-unprod_binary64_2157`

Counts

3 → 52

Calls

3 calls:

6.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
4.0ms	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

series79.0ms (3%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/8)))
26.0ms	(-.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8)))) (*.f64 x y))
14.0ms	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))

simplify38.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5017	1072

prune65.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 1200 to 851 computations (29.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
0.5b	(log.f64 (+.f64 1 (exp.f64 x)))
1.2b	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_2124`
10×	`log-prod_binary64_2210`
8×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
7×	`pow1_binary64_2185`
6×	`add-log-exp_binary64_2163` `log-div_binary64_2211` `add-exp-log_binary64_2162`
4×	`exp-prod_binary64_2176` `add-cbrt-cube_binary64_2160`
3×	`log-pow_binary64_2213` `exp-sum_binary64_2170`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `rem-log-exp_binary64_2165` `exp-diff_binary64_2172` `distribute-lft-out_binary64_2075` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`sum-log_binary64_2215` `rem-exp-log_binary64_2164` `+-commutative_binary64_2054`

Counts

4 → 58

Calls

4 calls:

4.0ms	(exp.f64 (log.f64 (-.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))
3.0ms	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))

series391.0ms (15%)

Counts

4 → 12

Calls

4 calls:

205.0ms	(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))))
129.0ms	(log.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
51.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

simplify90.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4939	1278
1	4939	1278

prune66.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 1228 to 738 computations (39.9% saved)

regimes46.0ms (1.7%)

Accuracy

Total 0.3b remaining (54.5%)

Threshold costs 0.3b (54.5%)

Compiler

Compiled 268 to 243 computations (9.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample856.0ms (32.7%)

Algorithm

1×

intervals

Results

362.0ms	7407×	body	128	valid
75.0ms	195×	body	1024	valid
54.0ms	248×	body	512	valid
19.0ms	150×	body	256	valid
2.0ms	40×	body	128	invalid
0.0ms	11×	body	128	overflowed

Compiler

Compiled 127 to 112 computations (11.8% saved)

Details

analyze70.0ms (2.7%)

sample23.0ms (0.9%)

simplify224.0ms (8.6%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

rewrite15.0ms (0.6%)

series92.0ms (3.5%)

simplify104.0ms (4%)

prune48.0ms (1.9%)

localize9.0ms (0.3%)

rewrite21.0ms (0.8%)

series149.0ms (5.7%)

simplify70.0ms (2.7%)

prune85.0ms (3.3%)

localize11.0ms (0.4%)

rewrite20.0ms (0.8%)

series79.0ms (3%)

simplify38.0ms (1.5%)

prune65.0ms (2.5%)

localize10.0ms (0.4%)

rewrite18.0ms (0.7%)

series391.0ms (15%)

simplify90.0ms (3.5%)

prune66.0ms (2.5%)

regimes46.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample856.0ms (32.7%)

Profiling