Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample24.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify101.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 b c) d)
0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_2124`
7×	`add-log-exp_binary64_2163`
6×	`distribute-lft-out_binary64_2075` `add-sqr-sqrt_binary64_2146`
5×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`sum-log_binary64_2215` `associate-l_binary64_2065`
2×	`associate-*r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `associate-+l+_binary64_2057` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157`

Counts

2 → 39

Calls

2 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms	(+.f64 (+.f64 b c) d)

series44.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
14.0ms	(+.f64 (+.f64 b c) d)

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4970	499
1	4970	499

prune32.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Compiler

Compiled 565 to 138 computations (75.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 b c) d)
0.3b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.3b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

rewrite35.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_2124`
12×	`add-sqr-sqrt_binary64_2146`
11×	`associate-l_binary64_2065`
10×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
7×	`sqrt-prod_binary64_2140` `associate-r_binary64_2064`
6×	`distribute-lft-out_binary64_2075`
4×	`pow-prod-down_binary64_2195` `associate-*l/_binary64_2067` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-r/_binary64_2066`
1×	`+-commutative_binary64_2054` `associate-+l+_binary64_2057`

Counts

3 → 64

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
11.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
6.0ms	(+.f64 (+.f64 b c) d)

series141.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
60.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
13.0ms	(+.f64 (+.f64 b c) d)

simplify64.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5417	947

prune44.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

Counts

77 → 4

Compiler

Compiled 1113 to 230 computations (79.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
0.6b	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.6b	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
0.6b	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2066`
18×	`cbrt-div_binary64_2156`
11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`swap-sqr_binary64_2091` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-*l/_binary64_2067` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
7.0ms	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

series526.0ms (18.4%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(.f64 (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
123.0ms	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
121.0ms	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
112.0ms	(cbrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4929	1525
1	4929	1525

prune71.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 2515 to 383 computations (84.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206`
6×	`swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162`
4×	`unswap-sqr_binary64_2092` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series361.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
90.0ms	(cbrt.f64 a)
84.0ms	(cbrt.f64 a)
83.0ms	(cbrt.f64 a)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune57.0ms (2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 1414 to 321 computations (77.3% saved)

regimes161.0ms (5.6%)

Accuracy

Total 0.0b remaining (81.5%)

Threshold costs 0.0b (81.5%)

Compiler

Compiled 1131 to 847 computations (25.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample876.0ms (30.7%)

Algorithm

1×

intervals

Results

319.0ms	8000×	pre	128	true
198.0ms	8000×	body	128	valid

Compiler

Compiled 154 to 120 computations (22.1% saved)

Details

analyze3.0ms (0.1%)

sample24.0ms (0.8%)

simplify101.0ms (3.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite17.0ms (0.6%)

series44.0ms (1.6%)

simplify67.0ms (2.3%)

prune32.0ms (1.1%)

localize7.0ms (0.2%)

rewrite35.0ms (1.2%)

series141.0ms (4.9%)

simplify64.0ms (2.3%)

prune44.0ms (1.5%)

localize9.0ms (0.3%)

rewrite37.0ms (1.3%)

series526.0ms (18.4%)

simplify84.0ms (2.9%)

prune71.0ms (2.5%)

localize11.0ms (0.4%)

rewrite14.0ms (0.5%)

series361.0ms (12.6%)

simplify62.0ms (2.2%)

prune57.0ms (2%)

regimes161.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample876.0ms (30.7%)

Profiling