Details

analyze14.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample50.0ms (0.2%)

Algorithm

1×

intervals

Results

36.0ms

256×

body

128

valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify748.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (171.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13

prune20.0ms (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: 0.0b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (+.f64 12 (.f64 x -9)))

rewrite56.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_19196`
4×	`add-log-exp_binary64_19213` `*-un-lft-identity_binary64_19174` `add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cube-cbrt_binary64_19209`
3×	`associate-r_binary64_19114` `associate-l_binary64_19115`
2×	`associate-*r/_binary64_19116` `flip3-+_binary64_19177` `flip-+_binary64_19148`
1×	`prod-exp_binary64_19223` `distribute-lft-in_binary64_19123` `+-commutative_binary64_19104` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245` `unswap-sqr_binary64_19142` `distribute-rgt-in_binary64_19124` `sum-log_binary64_19265`

Counts

2 → 33

Calls

2 calls:

33.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
6.0ms	(+.f64 12 (*.f64 x -9))

series165.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

113.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
52.0ms	(+.f64 12 (*.f64 x -9))

simplify267.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	5074	455

prune725.0ms (3.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	25	14	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	16	41

Merged error: 0b

Counts

41 → 16

Compiler

Compiled 807 to 655 computations (18.8% saved)

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (+.f64 12 (.f64 x -9)))

rewrite49.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_19196`
4×	`add-log-exp_binary64_19213` `*-un-lft-identity_binary64_19174` `add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cube-cbrt_binary64_19209`
3×	`associate-r_binary64_19114` `associate-l_binary64_19115`
2×	`associate-*r/_binary64_19116` `flip3-+_binary64_19177` `flip-+_binary64_19148`
1×	`prod-exp_binary64_19223` `distribute-lft-in_binary64_19123` `+-commutative_binary64_19104` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245` `unswap-sqr_binary64_19142` `distribute-rgt-in_binary64_19124` `sum-log_binary64_19265`

Counts

2 → 33

Calls

2 calls:

28.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
12.0ms	(+.f64 12 (*.f64 x -9))

series291.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

190.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
100.0ms	(+.f64 12 (*.f64 x -9))

simplify289.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (247.0ms)

Iter	Nodes	Cost
0	5074	455

prune951.0ms (4.6%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	26	13	39
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	27	28	55

Merged error: 0b

Counts

55 → 28

Compiler

Compiled 1122 to 937 computations (16.5% saved)

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (pow.f64 (+.f64 12 (.f64 x -9)) 1))

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_19196`
7×	`associate-r_binary64_19114` `add-exp-log_binary64_19212`
5×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209`
4×	`add-log-exp_binary64_19213` `unpow-prod-down_binary64_19253` `add-cbrt-cube_binary64_19210`
3×	`prod-exp_binary64_19223` `pow1_binary64_19235` `associate-l_binary64_19115` `unswap-sqr_binary64_19142`
2×	`sqr-pow_binary64_19146`
1×	`pow-to-exp_binary64_19243` `+-commutative_binary64_19104` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `flip-+_binary64_19148` `pow-exp_binary64_19242` `sum-log_binary64_19265`

Counts

2 → 37

Calls

2 calls:

31.0ms	(.f64 x (pow.f64 (+.f64 12 (.f64 x -9)) 1))
17.0ms	(+.f64 12 (*.f64 x -9))

series277.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

177.0ms	(.f64 x (pow.f64 (+.f64 12 (.f64 x -9)) 1))
100.0ms	(+.f64 12 (*.f64 x -9))

simplify192.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	5017	535

prune1.2s (5.9%)

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	34	9	43
Fresh	0	25	25
Picked	0	1	1
Done	0	2	2
Total	34	37	71

Merged error: 0b

Counts

71 → 37

Compiler

Compiled 1426 to 1209 computations (15.2% saved)

localize49.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (pow.f64 (.f64 1 (+.f64 12 (*.f64 x -9))) 1))

rewrite98.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_19212`
7×	`prod-exp_binary64_19223` `add-sqr-sqrt_binary64_19196`
5×	`associate-r_binary64_19114`
4×	`add-log-exp_binary64_19213` `*-un-lft-identity_binary64_19174` `add-cbrt-cube_binary64_19210` `add-cube-cbrt_binary64_19209`
3×	`pow1_binary64_19235` `associate-l_binary64_19115` `pow-exp_binary64_19242`
2×	`sqr-pow_binary64_19146` `unswap-sqr_binary64_19142`
1×	`pow-to-exp_binary64_19243` `+-commutative_binary64_19104` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `unpow-prod-down_binary64_19253` `pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `flip-+_binary64_19148` `1-exp_binary64_19218` `sum-log_binary64_19265`

Counts

2 → 36

Calls

2 calls:

54.0ms	(.f64 x (pow.f64 (.f64 1 (+.f64 12 (*.f64 x -9))) 1))
17.0ms	(+.f64 12 (*.f64 x -9))

series275.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

144.0ms	(.f64 x (pow.f64 (.f64 1 (+.f64 12 (*.f64 x -9))) 1))
131.0ms	(+.f64 12 (*.f64 x -9))

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5020	496

prune1.1s (5.3%)

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	1	32	33
Picked	0	1	1
Done	0	3	3
Total	34	45	79

Merged error: 0b

Counts

79 → 45

Compiler

Compiled 728 to 614 computations (15.7% saved)

regimes2.9s (14.1%)

Compiler: Compiled 6304 to 5588 computations (11.4% saved)

bsearch997.0ms (4.8%)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	91	13
1	91	13

end3.0ms (0%)

sample9.7s (46.5%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 1678 to 1485 computations (11.5% saved)

Pareto

0.6583136035948101

Details

analyze14.0ms (0.1%)

sample50.0ms (0.2%)

simplify748.0ms (3.6%)

prune20.0ms (0.1%)

localize31.0ms (0.2%)

rewrite56.0ms (0.3%)

series165.0ms (0.8%)

simplify267.0ms (1.3%)

prune725.0ms (3.5%)

localize32.0ms (0.2%)

rewrite49.0ms (0.2%)

series291.0ms (1.4%)

simplify289.0ms (1.4%)

prune951.0ms (4.6%)

localize38.0ms (0.2%)

rewrite54.0ms (0.3%)

series277.0ms (1.3%)

simplify192.0ms (0.9%)

prune1.2s (5.9%)

localize49.0ms (0.2%)

rewrite98.0ms (0.5%)

series275.0ms (1.3%)

simplify137.0ms (0.7%)

prune1.1s (5.3%)

regimes2.9s (14.1%)

bsearch997.0ms (4.8%)

simplify44.0ms (0.2%)

end3.0ms (0%)

sample9.7s (46.5%)

Profiling