Details

analyze101.0ms (2.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	60×	body	1024	valid
3.0ms	136×	body	128	valid
2.0ms	30×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	21×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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: 30.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`difference-of-squares_binary64_388`
3×	`distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`pow1/3_binary64_501` `cbrt-div_binary64_451` `distribute-lft-out_binary64_370`
1×	`flip3-+_binary64_422` `sub-neg_binary64_412` `flip3--_binary64_423` `flip-+_binary64_393` `diff-log_binary64_511` `flip--_binary64_394`

Counts

3 → 49

Calls

3 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series179.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

91.0ms	(cbrt.f64 x)
62.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
26.0ms	(cbrt.f64 (+.f64 x 1))

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4796	788
1	4796	788

prune61.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.3b

Counts

59 → 5

Compiler

Compiled 828 to 551 computations (33.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.3b	(pow.f64 x 2/3)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_419`
11×	`cbrt-prod_binary64_450`
9×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`add-log-exp_binary64_458` `cbrt-div_binary64_451` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501` `unpow-prod-down_binary64_498` `pow-unpow_binary64_496`
2×	`flip3-+_binary64_422` `distribute-lft-out_binary64_370` `flip-+_binary64_393`
1×	`pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `pow-pow_binary64_491`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
2.0ms	(pow.f64 x 2/3)
1.0ms	(cbrt.f64 x)

series219.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 x)
84.0ms	(pow.f64 x 2/3)
24.0ms	(cbrt.f64 (+.f64 x 1))
22.0ms	(cbrt.f64 (+.f64 x 1))

simplify84.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4956	631
1	4956	631

prune94.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	65	8	73

Merged error: 0.2b

Counts

73 → 8

Compiler

Compiled 1675 to 1234 computations (26.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 73

Calls

4 calls:

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

series348.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
95.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune114.0ms (3.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	79	14	93

Merged error: 0.1b

Counts

93 → 14

Compiler

Compiled 2211 to 1376 computations (37.8% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64_450`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
9×	`unpow-prod-down_binary64_498`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow-unpow_binary64_496`
2×	`pow-pow_binary64_491`
1×	`pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series452.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
127.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
86.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4827	561
1	4827	561

prune98.0ms (2.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	65	16	81

Merged error: 0.1b

Counts

81 → 16

Compiler

Compiled 2012 to 1158 computations (42.4% saved)

regimes138.0ms (3.9%)

Compiler: Compiled 1622 to 1213 computations (25.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	30
1	17	30

end0.0ms (0%)

sample1.3s (36.6%)

Algorithm

1×

intervals

Results

196.0ms	2075×	body	1024	valid
103.0ms	4114×	body	128	valid
65.0ms	1008×	body	512	valid
31.0ms	262×	body	2048	valid
24.0ms	541×	body	256	valid

Compiler

Compiled 802 to 599 computations (25.3% saved)

Details

analyze101.0ms (2.9%)

sample17.0ms (0.5%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite17.0ms (0.5%)

series179.0ms (5.1%)

simplify80.0ms (2.2%)

prune61.0ms (1.7%)

localize14.0ms (0.4%)

rewrite13.0ms (0.4%)

series219.0ms (6.2%)

simplify84.0ms (2.4%)

prune94.0ms (2.6%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series348.0ms (9.8%)

simplify62.0ms (1.7%)

prune114.0ms (3.2%)

localize17.0ms (0.5%)

rewrite15.0ms (0.4%)

series452.0ms (12.7%)

simplify83.0ms (2.3%)

prune98.0ms (2.7%)

regimes138.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (36.6%)

Profiling