Details

analyze1.3s (23.4%)

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)

sample37.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	112×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify164.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune4.0ms (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)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.1b	(.f64 (.f64 a z) b)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_13593`
10×	`sum-log_binary64_13645`
9×	`pow1_binary64_13615` `add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
5×	`add-sqr-sqrt_binary64_13578` `add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
3×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `+-commutative_binary64_13489` `flip3-+_binary64_13560` `flip-+_binary64_13531` `pow-prod-down_binary64_13625` `associate-r_binary64_13499`
2×	`associate-+l+_binary64_13492`
1×	`-commutative_binary64_13490` `associate-l*_binary64_13500`

Counts

4 → 56

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.0ms	(.f64 (.f64 a z) b)
3.0ms	(+.f64 x (*.f64 y z))

series400.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
101.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
54.0ms	(.f64 (.f64 a z) b)
49.0ms	(+.f64 x (*.f64 y z))

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5115	1027

prune53.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

Compiler

Compiled 1352 to 236 computations (82.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 b)
0.7b	(cbrt.f64 b)
1.3b	(.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))
4.0b	(.f64 (.f64 a z) (*.f64 (cbrt.f64 b) (cbrt.f64 b)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`pow1_binary64_13615` `add-exp-log_binary64_13592`
21×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `add-cbrt-cube_binary64_13590` `pow-prod-down_binary64_13625`
9×	`cbrt-prod_binary64_13585`
8×	`add-sqr-sqrt_binary64_13578` `add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
7×	`associate-r_binary64_13499`
4×	`add-log-exp_binary64_13593`
2×	`-commutative_binary64_13490` `pow1/3_binary64_13636` `associate-l*_binary64_13500`

Counts

4 → 74

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))
10.0ms	(.f64 (.f64 a z) (*.f64 (cbrt.f64 b) (cbrt.f64 b)))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series537.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(.f64 (.f64 a z) (*.f64 (cbrt.f64 b) (cbrt.f64 b)))
152.0ms	(cbrt.f64 b)
149.0ms	(cbrt.f64 b)
83.0ms	(.f64 (.f64 (.f64 a z) (.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b))

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4862	785
1	4862	785

prune73.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0.0b

Counts

89 → 3

Compiler

Compiled 1937 to 437 computations (77.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
3.2b	(.f64 a (+.f64 t (.f64 z b)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_13593`
8×	`add-sqr-sqrt_binary64_13578` `*-un-lft-identity_binary64_13557`
6×	`pow1_binary64_13615` `add-cbrt-cube_binary64_13590` `add-cube-cbrt_binary64_13589` `add-exp-log_binary64_13592`
5×	`sum-log_binary64_13645`
4×	`flip3-+_binary64_13560` `flip-+_binary64_13531`
3×	`+-commutative_binary64_13489` `associate-l_binary64_13500` `associate-r_binary64_13499` `associate-+r+_binary64_13491`
2×	`distribute-lft-in_binary64_13508` `associate-*r/_binary64_13501` `distribute-rgt-in_binary64_13509`
1×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `distribute-lft-out_binary64_13510` `*-commutative_binary64_13490` `unswap-sqr_binary64_13525` `pow-prod-down_binary64_13625`

Counts

4 → 60

Calls

4 calls:

7.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
5.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

series459.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
118.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
102.0ms	(.f64 a (+.f64 t (.f64 z b)))
44.0ms	(+.f64 t (*.f64 z b))

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4987	1193
1	4987	1193

prune61.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

Compiler

Compiled 1372 to 286 computations (79.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
0.2b	(pow.f64 (+.f64 t (*.f64 z b)) 3)
3.2b	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
33.6b	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_13585`
24×	`add-sqr-sqrt_binary64_13578`
17×	`*-un-lft-identity_binary64_13557`
15×	`add-cube-cbrt_binary64_13589` `associate-r_binary64_13499`
10×	`cube-prod_binary64_13582` `unpow-prod-down_binary64_13633`
9×	`add-log-exp_binary64_13593`
7×	`pow1_binary64_13615` `add-exp-log_binary64_13592`
6×	`cube-div_binary64_13583` `add-cbrt-cube_binary64_13590`
5×	`unswap-sqr_binary64_13525`
4×	`cbrt-div_binary64_13586` `sqr-pow_binary64_13529` `flip3-+_binary64_13560` `flip-+_binary64_13531`
3×	`cube-mult_binary64_13584` `pow-unpow_binary64_13631` `unpow3_binary64_13620` `sum-log_binary64_13645` `associate-l_binary64_13500`
2×	`associate-*r/_binary64_13501`
1×	`pow-pow_binary64_13626` `prod-exp_binary64_13603` `pow-to-exp_binary64_13623` `cbrt-unprod_binary64_13587` `+-commutative_binary64_13489` `rem-cbrt-cube_binary64_13580` `distribute-lft-out_binary64_13510` `*-commutative_binary64_13490` `pow1/3_binary64_13636` `pow-prod-down_binary64_13625` `pow-exp_binary64_13622` `rem-cube-cbrt_binary64_13579` `associate-+r+_binary64_13491`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))
5.0ms	(pow.f64 (+.f64 t (*.f64 z b)) 3)

series499.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3)))))
147.0ms	(pow.f64 (+.f64 t (*.f64 z b)) 3)
111.0ms	(.f64 a (cbrt.f64 (pow.f64 (+.f64 t (.f64 z b)) 3)))
45.0ms	(cbrt.f64 (pow.f64 (+.f64 t (*.f64 z b)) 3))

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5073	1700

prune91.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

Compiler

Compiled 2281 to 685 computations (70% saved)

regimes211.0ms (3.7%)

Compiler: Compiled 1330 to 1253 computations (5.8% saved)

bsearch47.0ms (0.8%)

Steps

Iters	Range		Point
9	1.5142097690956138e-60	2.1423820901491444e-51	3.2620424414684937e-59
6	-8.865952801941815e+44	-5.69128944263969e+43	-1.7112248657775219e+44

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	55
1	41	55

end0.0ms (0%)

sample1.3s (22.4%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
180.0ms	3938×	body	128	invalid

Compiler

Compiled 284 to 234 computations (17.6% saved)

Details

analyze1.3s (23.4%)

sample37.0ms (0.7%)

simplify164.0ms (2.9%)

prune4.0ms (0.1%)

localize16.0ms (0.3%)

rewrite29.0ms (0.5%)

series400.0ms (7.1%)

simplify33.0ms (0.6%)

prune53.0ms (0.9%)

localize17.0ms (0.3%)

rewrite34.0ms (0.6%)

series537.0ms (9.5%)

simplify75.0ms (1.3%)

prune73.0ms (1.3%)

localize10.0ms (0.2%)

rewrite25.0ms (0.4%)

series459.0ms (8.1%)

simplify69.0ms (1.2%)

prune61.0ms (1.1%)

localize13.0ms (0.2%)

rewrite38.0ms (0.7%)

series499.0ms (8.8%)

simplify61.0ms (1.1%)

prune91.0ms (1.6%)

regimes211.0ms (3.7%)

bsearch47.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (22.4%)

Profiling