Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify393.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (290.0ms)

Iter	Nodes	Cost
0	5830	21

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

0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_24311`
11×	`*-un-lft-identity_binary64_24289`
9×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
8×	`add-cube-cbrt_binary64_24324`
7×	`associate-r_binary64_24229`
6×	`cancel-sign-sub-inv_binary64_24255`
4×	`associate-*r/_binary64_24231` `distribute-rgt-in_binary64_24239` `pow1_binary64_24350` `distribute-lft-in_binary64_24238`
3×	`times-frac_binary64_24295` `associate-l_binary64_24230` `associate-/r*_binary64_24233`
2×	`associate-/r/_binary64_24235` `add-log-exp_binary64_24328` `cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `difference-of-squares_binary64_24258` `cbrt-unprod_binary64_24322` `associate-/l/_binary64_24236` `sub-neg_binary64_24282` `prod-exp_binary64_24338` `flip3--_binary64_24293` `flip--_binary64_24264`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `-commutative_binary64_24220` `div-inv_binary64_24286` `unswap-sqr_binary64_24257` `associate-/l_binary64_24234` `difference-of-sqr-1_binary64_24259` `flip-+_binary64_24263` `pow-prod-down_binary64_24360` `distribute-lft-out--_binary64_24241` `frac-2neg_binary64_24300`

Counts

2 → 57

Calls

4 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(*.f64 6 (-.f64 x 1))
0.0ms	(*.f64 6 (-.f64 x 1))
0.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

series50.0ms (1.4%)

Counts

2 → 9

Calls

2 calls:

31.0ms	(*.f64 6 (-.f64 x 1))
19.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

Compiler

Compiled 158 to 141 computations (10.8% saved)

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5180	922

prune109.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Error

Counts

67 → 4

Compiler

Compiled 1298 to 959 computations (26.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
0.0b	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
0.0b	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
0.0b	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))

rewrite48.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

186×	`times-frac_binary64_24295`
150×	`add-sqr-sqrt_binary64_24311`
134×	`*-un-lft-identity_binary64_24289`
86×	`add-cube-cbrt_binary64_24324`
34×	`associate-/r*_binary64_24233`
32×	`difference-of-squares_binary64_24258`
16×	`difference-of-sqr-1_binary64_24259` `distribute-lft-out--_binary64_24241`
11×	`associate-/r/_binary64_24235`
9×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
6×	`div-inv_binary64_24286` `associate-/l*_binary64_24234`
5×	`flip3--_binary64_24293` `flip--_binary64_24264`
4×	`cbrt-undiv_binary64_24323` `div-exp_binary64_24340`
2×	`clear-num_binary64_24288` `add-log-exp_binary64_24328` `associate-/l/_binary64_24236` `pow1_binary64_24350` `frac-2neg_binary64_24300`
1×	`flip3-+_binary64_24292` `flip-+_binary64_24263`

Counts

2 → 173

Calls

4 calls:

13.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
11.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
0.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
0.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))

series36.0ms (1%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
17.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))

Compiler

Compiled 93 to 93 computations (0% saved)

simplify120.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5114	6458

prune287.0ms (8.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	179	4	183

Error

Counts

183 → 4

Compiler

Compiled 5021 to 3681 computations (26.7% saved)

localize11.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.8b	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
0.3b	(*.f64 (-.f64 x 1) (sqrt.f64 6))
0.1b	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.1b	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.3b	(*.f64 (-.f64 x 1) (sqrt.f64 6))
0.8b	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))

rewrite41.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
18×	`add-sqr-sqrt_binary64_24311`
13×	`-un-lft-identity_binary64_24289` `associate-l*_binary64_24230`
10×	`add-cube-cbrt_binary64_24324` `pow1_binary64_24350`
7×	`sqrt-prod_binary64_24305` `associate-r_binary64_24229` `cbrt-unprod_binary64_24322` `prod-exp_binary64_24338`
6×	`associate-*l/_binary64_24232`
4×	`associate-*r/_binary64_24231` `pow-prod-down_binary64_24360`
3×	`add-log-exp_binary64_24328` `cbrt-undiv_binary64_24323` `times-frac_binary64_24295` `div-exp_binary64_24340` `flip3--_binary64_24293` `flip--_binary64_24264` `associate-/r*_binary64_24233`
2×	`associate-/r/_binary64_24235` `difference-of-squares_binary64_24258` `associate-/l/_binary64_24236` `*-commutative_binary64_24220` `unswap-sqr_binary64_24257`
1×	`flip3-+_binary64_24292` `clear-num_binary64_24288` `div-inv_binary64_24286` `associate-/l*_binary64_24234` `difference-of-sqr-1_binary64_24259` `flip-+_binary64_24263` `distribute-lft-out--_binary64_24241` `frac-2neg_binary64_24300`

Counts

3 → 78

Calls

6 calls:

15.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
10.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
8.0ms	(*.f64 (-.f64 x 1) (sqrt.f64 6))
0.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))

series165.0ms (4.6%)

Counts

3 → 15

Calls

3 calls:

74.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
48.0ms	(*.f64 (-.f64 x 1) (sqrt.f64 6))
43.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

Compiler

Compiled 413 to 379 computations (8.2% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4956	1333
1	4956	1333

prune109.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Error

Counts

97 → 4

Compiler

Compiled 1970 to 1517 computations (23% saved)

localize14.0ms (0.4%)

Local error

Found 8 expressions with local error:

15.7b	(/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) (/.f64 6 (+.f64 x 1)))
0.0b	(/.f64 6 (+.f64 x 1))
0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(/.f64 6 (+.f64 x 1))
0.0b	(-.f64 (*.f64 x x) 1)
0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) (/.f64 6 (+.f64 x 1)))
15.7b	(/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite65.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64_24289`
64×	`times-frac_binary64_24295`
63×	`add-sqr-sqrt_binary64_24311`
43×	`add-cube-cbrt_binary64_24324`
24×	`associate-l_binary64_24230`
20×	`add-cbrt-cube_binary64_24325` `add-exp-log_binary64_24327`
18×	`associate-r_binary64_24229`
16×	`difference-of-squares_binary64_24258`
9×	`associate-/l*_binary64_24234`
8×	`associate-/r/_binary64_24235` `difference-of-sqr-1_binary64_24259`
7×	`distribute-lft-out_binary64_24240` `associate-/r*_binary64_24233`
6×	`add-log-exp_binary64_24328` `cbrt-undiv_binary64_24323` `div-exp_binary64_24340` `pow1_binary64_24350`
4×	`flip3-+_binary64_24292` `cbrt-unprod_binary64_24322` `prod-exp_binary64_24338` `div-inv_binary64_24286` `unswap-sqr_binary64_24257` `flip-+_binary64_24263`
3×	`cancel-sign-sub-inv_binary64_24255`
2×	`clear-num_binary64_24288` `associate-/l/_binary64_24236` `flip3--_binary64_24293` `flip--_binary64_24264` `frac-2neg_binary64_24300`
1×	`div-sub_binary64_24294` `frac-times_binary64_24299` `sub-neg_binary64_24282` `-commutative_binary64_24220` `associate-r/_binary64_24231` `diff-log_binary64_24381` `pow-prod-down_binary64_24360` `associate-*l/_binary64_24232`

Counts

4 → 160

Calls

8 calls:

26.0ms	(.f64 (/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) (/.f64 6 (+.f64 x 1)))
11.0ms	(/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
6.0ms	(/.f64 6 (+.f64 x 1))
5.0ms	(-.f64 (*.f64 x x) 1)
0.0ms	(-.f64 (*.f64 x x) 1)

series113.0ms (3.2%)

Counts

4 → 24

Calls

4 calls:

35.0ms	(/.f64 6 (+.f64 x 1))
35.0ms	(-.f64 (*.f64 x x) 1)
26.0ms	(.f64 (/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))) (/.f64 6 (+.f64 x 1)))
17.0ms	(/.f64 (-.f64 (.f64 x x) 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

Compiler

Compiled 620 to 526 computations (15.2% saved)

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5161	4388

prune276.0ms (7.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	184	4	188

Error

Counts

188 → 4

Compiler

Compiled 5132 to 3529 computations (31.2% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	213	752
1	213	752

regimes113.0ms (3.2%)

Compiler: Compiled 1175 to 988 computations (15.9% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.4%)

Compiler: Compiled 57 to 55 computations (3.5% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.6%)

Compiler: Compiled 29 to 31 computations (-6.9% saved)

bsearch17.0ms (0.5%)

Steps

Iters	Range		Point
8	0.694616828524831	332.6752798209362	0.9991673855719797

Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.5%)

Compiler: Compiled 17 to 21 computations (-23.5% saved)

bsearch16.0ms (0.5%)

Steps

Iters	Range		Point
8	0.694616828524831	332.6752798209362	0.9991673855719797

Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.4%)

Compiler: Compiled 7 to 12 computations (-71.4% saved)

bsearch13.0ms (0.4%)

Steps

Iters	Range		Point
8	0.694616828524831	332.6752798209362	0.9991673855719797

Compiler

Compiled 1 to 1 computations (0% saved)

regimes17.0ms (0.5%)

Compiler: Compiled 6 to 10 computations (-66.7% saved)

bsearch13.0ms (0.4%)

Steps

Iters	Range		Point
8	0.694616828524831	332.6752798209362	0.9991673855719797

Compiler

Compiled 1 to 1 computations (0% saved)

regimes13.0ms (0.4%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch13.0ms (0.4%)

Steps

Iters	Range		Point
8	0.694616828524831	332.6752798209362	0.9991673855719797

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0.3%)

Accuracy

Total 0.0b remaining (98.9%)

Threshold costs 0.0b (98.9%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch6.0ms (0.2%)

Compiler: Compiled 88 to 77 computations (12.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	128
1	35	128

end0.0ms (0%)

sample1.1s (31.9%)

Algorithm

1×

intervals

Results

330.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 611 to 516 computations (15.5% saved)

Pareto

0.09857112612095985

Details

analyze3.0ms (0.1%)

sample17.0ms (0.5%)

simplify393.0ms (11%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite24.0ms (0.7%)

series50.0ms (1.4%)

simplify72.0ms (2%)

prune109.0ms (3.1%)

localize9.0ms (0.2%)

rewrite48.0ms (1.3%)

series36.0ms (1%)

simplify120.0ms (3.4%)

prune287.0ms (8.1%)

localize11.0ms (0.3%)

rewrite41.0ms (1.2%)

series165.0ms (4.6%)

simplify62.0ms (1.7%)

prune109.0ms (3.1%)

localize14.0ms (0.4%)

rewrite65.0ms (1.8%)

series113.0ms (3.2%)

simplify71.0ms (2%)

prune276.0ms (7.7%)

simplify13.0ms (0.4%)

regimes113.0ms (3.2%)

bsearch0.0ms (0%)

regimes15.0ms (0.4%)

bsearch0.0ms (0%)

regimes22.0ms (0.6%)

bsearch17.0ms (0.5%)

regimes17.0ms (0.5%)

bsearch16.0ms (0.5%)

regimes16.0ms (0.4%)

bsearch13.0ms (0.4%)

regimes17.0ms (0.5%)

bsearch13.0ms (0.4%)

regimes13.0ms (0.4%)

bsearch13.0ms (0.4%)

regimes10.0ms (0.3%)

bsearch6.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (31.9%)

Profiling