Details

analyze1.6s (24.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample53.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	116×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify115.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune9.0ms (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 41 to 37 computations (9.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
0.0b	(+.f64 t (*.f64 z b))
2.5b	(.f64 a (+.f64 t (.f64 z b)))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_19213`
8×	`*-un-lft-identity_binary64_19174` `add-sqr-sqrt_binary64_19196`
6×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cube-cbrt_binary64_19209`
5×	`sum-log_binary64_19265`
4×	`flip3-+_binary64_19177` `flip-+_binary64_19148`
3×	`+-commutative_binary64_19104` `associate-r_binary64_19114` `associate-+r+_binary64_19106` `associate-l_binary64_19115`
2×	`distribute-lft-in_binary64_19123` `associate-*r/_binary64_19116` `distribute-rgt-in_binary64_19124`
1×	`prod-exp_binary64_19223` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `distribute-lft-out_binary64_19125` `pow-prod-down_binary64_19245` `unswap-sqr_binary64_19142`

Counts

4 → 60

Calls

4 calls:

6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
4.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

series312.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
92.0ms	(.f64 a (+.f64 t (.f64 z b)))
72.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
28.0ms	(+.f64 t (*.f64 z b))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5011	1193

prune84.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

Compiler

Compiled 1488 to 345 computations (76.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.2b	(.f64 (.f64 a z) b)

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_19213`
10×	`sum-log_binary64_19265`
9×	`add-cbrt-cube_binary64_19210` `pow1_binary64_19235` `add-exp-log_binary64_19212`
5×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196`
3×	`prod-exp_binary64_19223` `+-commutative_binary64_19104` `cbrt-unprod_binary64_19207` `associate-r_binary64_19114` `pow-prod-down_binary64_19245` `flip3-+_binary64_19177` `flip-+_binary64_19148`
2×	`associate-+l+_binary64_19107`
1×	`-commutative_binary64_19105` `associate-l*_binary64_19115`

Counts

4 → 56

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.0ms	(.f64 (.f64 a z) b)
5.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
3.0ms	(+.f64 x (*.f64 y z))

series238.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
71.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
31.0ms	(+.f64 x (*.f64 y z))
28.0ms	(.f64 (.f64 a z) b)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4987	1027
1	4987	1027

prune73.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

Compiler

Compiled 1437 to 284 computations (80.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.0b	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
2.0b	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_19235` `add-exp-log_binary64_19212`
13×	`add-sqr-sqrt_binary64_19196`
11×	`add-cbrt-cube_binary64_19210`
10×	`cbrt-prod_binary64_19205`
9×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `*-un-lft-identity_binary64_19174` `pow-prod-down_binary64_19245` `add-cube-cbrt_binary64_19209`
7×	`associate-r_binary64_19114`
4×	`add-log-exp_binary64_19213` `associate-l/_binary64_19117` `associate-l*_binary64_19115`
2×	`associate-r/_binary64_19116` `-commutative_binary64_19105` `pow1/3_binary64_19256` `flip3-+_binary64_19177` `flip-+_binary64_19148` `unswap-sqr_binary64_19142`

Counts

4 → 70

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
7.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series437.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

138.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
115.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
94.0ms	(cbrt.f64 a)
90.0ms	(cbrt.f64 a)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5035	906

prune88.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

Compiler

Compiled 1927 to 471 computations (75.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 t (.f64 z b))) (cbrt.f64 (+.f64 t (*.f64 z b))))
2.9b	(cbrt.f64 (+.f64 t (*.f64 z b)))
2.9b	(cbrt.f64 (+.f64 t (*.f64 z b)))
2.9b	(cbrt.f64 (+.f64 t (*.f64 z b)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_19205`
23×	`add-sqr-sqrt_binary64_19196`
18×	`cbrt-div_binary64_19206`
15×	`*-un-lft-identity_binary64_19174` `add-cube-cbrt_binary64_19209`
11×	`pow1_binary64_19235`
9×	`pow1/3_binary64_19256` `flip3-+_binary64_19177` `flip-+_binary64_19148`
6×	`swap-sqr_binary64_19141` `associate-r_binary64_19114` `add-exp-log_binary64_19212` `associate-l_binary64_19115`
4×	`add-log-exp_binary64_19213` `frac-times_binary64_19184` `add-cbrt-cube_binary64_19210` `unswap-sqr_binary64_19142`
2×	`pow-sqr_binary64_19147` `associate-r/_binary64_19116` `associate-l/_binary64_19117` `pow-prod-down_binary64_19245` `pow-prod-up_binary64_19244`
1×	`prod-exp_binary64_19223` `pow2_binary64_19255` `*-commutative_binary64_19105` `cbrt-unprod_binary64_19207` `pow-plus_binary64_19237`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 t (.f64 z b))) (cbrt.f64 (+.f64 t (*.f64 z b))))
3.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))
3.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))
3.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))

series483.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))
124.0ms	(.f64 (cbrt.f64 (+.f64 t (.f64 z b))) (cbrt.f64 (+.f64 t (*.f64 z b))))
119.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))
111.0ms	(cbrt.f64 (+.f64 t (*.f64 z b)))

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4914	1771
1	4914	1771

prune147.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

Compiler

Compiled 3335 to 753 computations (77.4% saved)

regimes435.0ms (6.8%)

Compiler: Compiled 3451 to 2415 computations (30% saved)

bsearch49.0ms (0.8%)

Steps

Iters	Range		Point
8	-2.4035443160191596e+172	-2.5107896625014503e+169	-2.5982834395496762e+169

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	47
1	35	47

end0.0ms (0%)

sample1.8s (27.9%)

Algorithm

1×

intervals

Results

465.0ms	8000×	body	128	valid
233.0ms	3936×	body	128	invalid

Compiler

Compiled 582 to 396 computations (32% saved)

Details

analyze1.6s (24.9%)

sample53.0ms (0.8%)

simplify115.0ms (1.8%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

rewrite23.0ms (0.4%)

series312.0ms (4.9%)

simplify64.0ms (1%)

prune84.0ms (1.3%)

localize10.0ms (0.2%)

rewrite26.0ms (0.4%)

series238.0ms (3.7%)

simplify80.0ms (1.2%)

prune73.0ms (1.1%)

localize14.0ms (0.2%)

rewrite32.0ms (0.5%)

series437.0ms (6.8%)

simplify77.0ms (1.2%)

prune88.0ms (1.4%)

localize15.0ms (0.2%)

rewrite39.0ms (0.6%)

series483.0ms (7.5%)

simplify117.0ms (1.8%)

prune147.0ms (2.3%)

regimes435.0ms (6.8%)

bsearch49.0ms (0.8%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.8s (27.9%)

Profiling