Details

analyze265.0ms (6.2%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 y z) z)
0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.2b	(.f64 (.f64 y z) z)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`add-log-exp_binary64_117`
3×	`add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `associate-r_binary64_18` `pow-prod-down_binary64_149` `*-un-lft-identity_binary64_78`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l*_binary64_19` `flip-+_binary64_52` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

2 → 29

Calls

4 calls:

5.0ms	(.f64 (.f64 y z) z)
3.0ms	(+.f64 x (.f64 (.f64 y z) z))
0.0ms	(+.f64 x (.f64 (.f64 y z) z))
0.0ms	(.f64 (.f64 y z) z)

series164.0ms (3.8%)

Counts

2 → 24

Calls

2 calls:

109.0ms	(+.f64 x (.f64 (.f64 y z) z))
54.0ms	(.f64 (.f64 y z) z)

Compiler

Compiled 239 to 252 computations (-5.4% saved)

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4953	505
1	4953	505

prune45.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Error

0.0b

Counts

54 → 7

Compiler

Compiled 558 to 149 computations (73.3% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 z (.f64 y z))
0.2b	(.f64 z (.f64 y z))
0.2b	(.f64 z (.f64 y z))
0.0b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (.f64 y z)))) (cbrt.f64 (.f64 z (.f64 y z)))))
0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
21.3b	(cbrt.f64 (.f64 z (.f64 y z)))
21.3b	(cbrt.f64 (.f64 z (.f64 y z)))
21.3b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_139`
10×	`add-sqr-sqrt_binary64_100`
9×	`pow1/3_binary64_160`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`cbrt-prod_binary64_109`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-log-exp_binary64_117` `swap-sqr_binary64_45` `associate-r_binary64_18`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46` `pow-plus_binary64_141`

Counts

4 → 58

Calls

8 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
0.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (.f64 y z)))) (cbrt.f64 (.f64 z (.f64 y z)))))

series857.0ms (20%)

Counts

4 → 24

Calls

4 calls:

260.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
206.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
199.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
191.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

Compiler

Compiled 1280 to 920 computations (28.1% saved)

simplify121.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4990	840
1	4990	840

prune74.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Error

0.0b

Counts

89 → 7

Compiler

Compiled 1927 to 414 computations (78.5% saved)

localize15.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (.f64 y z)))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y))))
0.2b	(.f64 z (.f64 y z))
0.2b	(.f64 z (.f64 y z))
0.0b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (.f64 y z)))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))))
0.6b	(cbrt.f64 z)
9.9b	(cbrt.f64 (*.f64 z y))
21.3b	(cbrt.f64 (.f64 z (.f64 y z)))
21.3b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_109`
5×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`

Counts

4 → 38

Calls

8 calls:

4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
2.0ms	(cbrt.f64 (*.f64 z y))
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (.f64 y z)))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))))

series651.0ms (15.2%)

Counts

4 → 21

Calls

4 calls:

206.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
204.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
173.0ms	(cbrt.f64 (*.f64 z y))
67.0ms	(cbrt.f64 z)

Compiler

Compiled 1198 to 874 computations (27% saved)

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5105	521

prune56.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	58	8	66

Error

0.0b

Counts

66 → 8

Compiler

Compiled 1599 to 300 computations (81.2% saved)

localize18.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.4b	(.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))
0.2b	(.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y))))
0.2b	(.f64 z (.f64 y z))
0.0b	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))))
0.6b	(cbrt.f64 z)
9.9b	(cbrt.f64 (*.f64 z y))
9.9b	(cbrt.f64 (*.f64 z y))
21.3b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_109`
5×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`

Counts

4 → 38

Calls

8 calls:

4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
2.0ms	(cbrt.f64 (*.f64 z y))
2.0ms	(cbrt.f64 (*.f64 z y))
1.0ms	(cbrt.f64 z)
0.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y z))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))) (.f64 (cbrt.f64 z) (cbrt.f64 (.f64 z y)))))

series640.0ms (14.9%)

Counts

4 → 21

Calls

4 calls:

202.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
185.0ms	(cbrt.f64 (*.f64 z y))
175.0ms	(cbrt.f64 (*.f64 z y))
78.0ms	(cbrt.f64 z)

Compiler

Compiled 1246 to 880 computations (29.4% saved)

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5105	481

prune52.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	59	8	67

Error

0.0b

Counts

67 → 8

Compiler

Compiled 1580 to 255 computations (83.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	128	250
1	128	250

regimes71.0ms (1.6%)

Compiler: Compiled 507 to 360 computations (29% saved)

bsearch0.0ms (0%)

regimes55.0ms (1.3%)

Compiler: Compiled 33 to 78 computations (-136.4% saved)

bsearch22.0ms (0.5%)

Steps

Iters	Range		Point
5	6.186092107825829e-10	1.492049511592043e-09	9.244144524481902e-10
10	-1.2002893962480437e-24	-3.775036581750732e-37	-5.775347209345589e-31

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.7%)

Compiler: Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes23.0ms (0.5%)

Accuracy

Total 0.1b remaining (79.8%)

Threshold costs 0.1b (79.8%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 29 to 28 computations (3.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	35
1	23	35

end0.0ms (0%)

sample683.0ms (15.9%)

Algorithm

1×

intervals

Results

210.0ms	8000×	body	128	valid
17.0ms	685×	body	128	invalid

Compiler

Compiled 200 to 153 computations (23.5% saved)

Pareto

0.26552310468697204

Details

analyze265.0ms (6.2%)

sample15.0ms (0.4%)

simplify95.0ms (2.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite11.0ms (0.2%)

series164.0ms (3.8%)

simplify101.0ms (2.4%)

prune45.0ms (1%)

localize10.0ms (0.2%)

rewrite27.0ms (0.6%)

series857.0ms (20%)

simplify121.0ms (2.8%)

prune74.0ms (1.7%)

localize15.0ms (0.3%)

rewrite14.0ms (0.3%)

series651.0ms (15.2%)

simplify59.0ms (1.4%)

prune56.0ms (1.3%)

localize18.0ms (0.4%)

rewrite13.0ms (0.3%)

series640.0ms (14.9%)

simplify57.0ms (1.3%)

prune52.0ms (1.2%)

simplify6.0ms (0.1%)

regimes71.0ms (1.6%)

bsearch0.0ms (0%)

regimes55.0ms (1.3%)

bsearch22.0ms (0.5%)

regimes28.0ms (0.7%)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

bsearch0.0ms (0%)

regimes23.0ms (0.5%)

bsearch3.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample683.0ms (15.9%)

Profiling