Details

analyze331.0ms (6.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	247×	body	128	valid
1.0ms	6×	body	1024	valid
1.0ms	18×	body	128	invalid
0.0ms	3×	body	512	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify167.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune3.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_14589` `*-un-lft-identity_binary64_14568`
4×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `associate-r_binary64_14510` `add-cube-cbrt_binary64_14600` `add-log-exp_binary64_14604` `add-exp-log_binary64_14603`
3×	`associate-l_binary64_14511`
2×	`flip3-+_binary64_14571` `distribute-lft-in_binary64_14519` `distribute-rgt-in_binary64_14520` `flip-+_binary64_14542` `associate-+l+_binary64_14503` `associate-*r/_binary64_14512`
1×	`sum-log_binary64_14656` `cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `+-commutative_binary64_14500` `unswap-sqr_binary64_14536` `distribute-lft-out_binary64_14521`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

series109.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
51.0ms	(*.f64 x (+.f64 y z))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4979	518
1	4979	518

prune42.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

Compiler

Compiled 679 to 305 computations (55.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_14589` `*-un-lft-identity_binary64_14568`
4×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `associate-r_binary64_14510` `add-cube-cbrt_binary64_14600` `add-log-exp_binary64_14604` `add-exp-log_binary64_14603`
3×	`associate-l_binary64_14511`
2×	`flip3-+_binary64_14571` `distribute-lft-in_binary64_14519` `distribute-rgt-in_binary64_14520` `associate-+r+_binary64_14502` `flip-+_binary64_14542` `associate-*r/_binary64_14512`
1×	`sum-log_binary64_14656` `cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `+-commutative_binary64_14500` `unswap-sqr_binary64_14536` `distribute-lft-out_binary64_14521`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 z (+.f64 x 5))
5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series105.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
49.0ms	(*.f64 z (+.f64 x 5))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5049	518

prune43.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

Compiler

Compiled 696 to 391 computations (43.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 y z))
0.5b	(cbrt.f64 (+.f64 y z))
0.5b	(cbrt.f64 (+.f64 y z))
0.5b	(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_14596`
35×	`*-un-lft-identity_binary64_14568`
23×	`add-sqr-sqrt_binary64_14589`
18×	`cbrt-div_binary64_14597`
15×	`add-cube-cbrt_binary64_14600`
11×	`pow1_binary64_14626`
9×	`flip3-+_binary64_14571` `swap-sqr_binary64_14535` `flip-+_binary64_14542` `distribute-lft-out_binary64_14521` `pow1/3_binary64_14647`
7×	`associate-l_binary64_14511` `associate-r_binary64_14510`
6×	`add-exp-log_binary64_14603`
4×	`add-cbrt-cube_binary64_14601` `frac-times_binary64_14578` `add-log-exp_binary64_14604` `unswap-sqr_binary64_14536`
2×	`pow-prod-up_binary64_14635` `pow-sqr_binary64_14541` `associate-l/_binary64_14513` `pow-prod-down_binary64_14636` `associate-r/_binary64_14512`
1×	`pow-plus_binary64_14628` `cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `pow2_binary64_14646`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))
3.0ms	(cbrt.f64 (+.f64 y z))
3.0ms	(cbrt.f64 (+.f64 y z))
3.0ms	(cbrt.f64 (+.f64 y z))

series951.0ms (19.1%)

Counts

4 → 12

Calls

4 calls:

279.0ms	(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))
231.0ms	(cbrt.f64 (+.f64 y z))
222.0ms	(cbrt.f64 (+.f64 y z))
219.0ms	(cbrt.f64 (+.f64 y z))

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4863	1542
1	4863	1542

prune113.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

Compiler

Compiled 2814 to 1023 computations (63.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.4b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.4b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_14596`
23×	`add-sqr-sqrt_binary64_14589`
18×	`cbrt-div_binary64_14597`
15×	`add-cube-cbrt_binary64_14600` `*-un-lft-identity_binary64_14568`
11×	`pow1_binary64_14626`
9×	`flip3-+_binary64_14571` `flip-+_binary64_14542` `pow1/3_binary64_14647`
6×	`associate-l_binary64_14511` `associate-r_binary64_14510` `swap-sqr_binary64_14535` `add-exp-log_binary64_14603`
4×	`add-cbrt-cube_binary64_14601` `frac-times_binary64_14578` `add-log-exp_binary64_14604` `unswap-sqr_binary64_14536`
2×	`pow-prod-up_binary64_14635` `pow-sqr_binary64_14541` `associate-l/_binary64_14513` `pow-prod-down_binary64_14636` `associate-r/_binary64_14512`
1×	`pow-plus_binary64_14628` `cbrt-unprod_binary64_14598` `*-commutative_binary64_14501` `prod-exp_binary64_14614` `pow2_binary64_14646`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

series1.5s (29.7%)

Counts

4 → 12

Calls

4 calls:

567.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))
304.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
304.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
299.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5346	2778

prune157.0ms (3.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

Compiler

Compiled 3957 to 1900 computations (52% saved)

regimes165.0ms (3.3%)

Compiler: Compiled 1512 to 1106 computations (26.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample847.0ms (17.1%)

Algorithm

1×

intervals

Results

229.0ms	7696×	body	128	valid
19.0ms	677×	body	128	invalid
15.0ms	155×	body	1024	valid
7.0ms	96×	body	512	valid
3.0ms	53×	body	256	valid

Compiler

Compiled 377 to 279 computations (26% saved)

Details

analyze331.0ms (6.7%)

sample16.0ms (0.3%)

simplify167.0ms (3.4%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series109.0ms (2.2%)

simplify64.0ms (1.3%)

prune42.0ms (0.8%)

localize7.0ms (0.1%)

rewrite14.0ms (0.3%)

series105.0ms (2.1%)

simplify70.0ms (1.4%)

prune43.0ms (0.9%)

localize10.0ms (0.2%)

rewrite34.0ms (0.7%)

series951.0ms (19.1%)

simplify97.0ms (2%)

prune113.0ms (2.3%)

localize11.0ms (0.2%)

rewrite50.0ms (1%)

series1.5s (29.7%)

simplify65.0ms (1.3%)

prune157.0ms (3.2%)

regimes165.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample847.0ms (17.1%)

Profiling