Details

analyze681.0ms (11.8%)

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample33.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
2.0ms	32×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify376.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	718	15
1	718	15

prune7.0ms (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 32 to 28 computations (12.5% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.9b	(*.f64 (/.f64 x y) z)

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_98`
13×	`associate-l_binary64_20`
10×	`times-frac_binary64_83` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
7×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
4×	`add-log-exp_binary64_113` `pow1_binary64_135`
3×	`associate-l/_binary64_22` `associate-r*_binary64_19`
2×	`cbrt-unprod_binary64_107` `unswap-sqr_binary64_45` `prod-exp_binary64_123`
1×	`pow-prod-down_binary64_145` `cbrt-undiv_binary64_108` `sub-neg_binary64_70` `flip--_binary64_52` `div-exp_binary64_125` `frac-sub_binary64_86` `*-commutative_binary64_10` `flip3--_binary64_81` `diff-log_binary64_166` `sub-div_binary64_84` `div-inv_binary64_74`

Counts

2 → 45

Calls

2 calls:

21.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
13.0ms	(*.f64 (/.f64 x y) z)

series232.0ms (4%)

Counts

2 → 6

Calls

2 calls:

148.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
84.0ms	(*.f64 (/.f64 x y) z)

simplify103.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5008	697

prune105.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	45	8	53

Merged error: 0b

Counts

53 → 8

Compiler

Compiled 1024 to 514 computations (49.8% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.6b	(*.f64 z (/.f64 (cbrt.f64 x) y))
2.7b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite77.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_112`
35×	`add-cbrt-cube_binary64_110`
33×	`prod-exp_binary64_123`
30×	`add-sqr-sqrt_binary64_98`
23×	`times-frac_binary64_83` `associate-r_binary64_19`
22×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
20×	`cbrt-unprod_binary64_107`
18×	`div-exp_binary64_125`
16×	`cbrt-prod_binary64_105`
11×	`pow1_binary64_135`
10×	`associate-l_binary64_20` `cbrt-undiv_binary64_108`
6×	`1-exp_binary64_118`
4×	`pow-prod-down_binary64_145` `add-log-exp_binary64_113` `associate-*r/_binary64_21`
3×	`unswap-sqr_binary64_45`
2×	`*-commutative_binary64_10` `pow1/3_binary64_156` `div-inv_binary64_74`
1×	`frac-times_binary64_87` `associate-*l/_binary64_22`

Counts

4 → 109

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
20.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
3.0ms	(cbrt.f64 x)
3.0ms	(cbrt.f64 x)

series951.0ms (16.4%)

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt.f64 x)
280.0ms	(cbrt.f64 x)
258.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
130.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

simplify136.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5024	1182

prune222.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0b

Counts

129 → 8

Compiler

Compiled 2780 to 1243 computations (55.3% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
2.7b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite38.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
9×	`times-frac_binary64_83`
7×	`add-log-exp_binary64_113`
4×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
3×	`associate-/r_binary64_23` `associate-/l_binary64_24`
2×	`pow1_binary64_135` `flip--_binary64_52` `flip3--_binary64_81` `diff-log_binary64_166` `associate-/l/_binary64_26`
1×	`cbrt-undiv_binary64_108` `associate--l+_binary64_16` `div-sub_binary64_82` `sub-neg_binary64_70` `div-exp_binary64_125` `clear-num_binary64_76` `frac-2neg_binary64_88` `sum-log_binary64_165` `div-inv_binary64_74`

Counts

2 → 43

Calls

2 calls:

17.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
13.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

series189.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

141.0ms	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
47.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4956	932
1	4956	932

prune91.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	2	3	5
Picked	1	0	1
Done	1	1	2
Total	52	5	57

Merged error: 0b

Counts

57 → 5

Compiler

Compiled 921 to 511 computations (44.5% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 x 4) (*.f64 x z))
0.1b	(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
2.7b	(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))

rewrite70.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_83`
55×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
18×	`associate-/r*_binary64_23`
16×	`add-exp-log_binary64_112`
11×	`associate-/r/_binary64_25`
10×	`add-cbrt-cube_binary64_110`
8×	`add-log-exp_binary64_113` `div-exp_binary64_125`
6×	`associate-/l*_binary64_24` `flip--_binary64_52` `flip3--_binary64_81` `div-inv_binary64_74`
4×	`cbrt-undiv_binary64_108` `pow1_binary64_135`
2×	`1-exp_binary64_118` `rec-exp_binary64_124` `clear-num_binary64_76` `diff-log_binary64_166` `frac-2neg_binary64_88`
1×	`associate--l+_binary64_16` `sub-neg_binary64_70` `inv-pow_binary64_159` `pow-flip_binary64_148` `sum-log_binary64_165`

Counts

3 → 126

Calls

3 calls:

20.0ms	(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
14.0ms	(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))
12.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

series475.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

267.0ms	(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))
151.0ms	(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
56.0ms	(-.f64 (+.f64 x 4) (*.f64 x z))

simplify156.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5248	3304

prune241.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Merged error: 0b

Counts

140 → 5

Compiler

Compiled 2899 to 1673 computations (42.3% saved)

regimes135.0ms (2.3%)

Compiler: Compiled 452 to 366 computations (19% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	18
1	46	18

end0.0ms (0%)

sample1.2s (21.6%)

Algorithm

1×

intervals

Results

583.0ms	8000×	body	128	valid
87.0ms	1219×	body	128	invalid

Compiler

Compiled 105 to 86 computations (18.1% saved)

Details

analyze681.0ms (11.8%)

sample33.0ms (0.6%)

simplify376.0ms (6.5%)

prune7.0ms (0.1%)

localize16.0ms (0.3%)

rewrite43.0ms (0.7%)

series232.0ms (4%)

simplify103.0ms (1.8%)

prune105.0ms (1.8%)

localize27.0ms (0.5%)

rewrite77.0ms (1.3%)

series951.0ms (16.4%)

simplify136.0ms (2.4%)

prune222.0ms (3.8%)

localize15.0ms (0.3%)

rewrite38.0ms (0.7%)

series189.0ms (3.3%)

simplify98.0ms (1.7%)

prune91.0ms (1.6%)

localize17.0ms (0.3%)

rewrite70.0ms (1.2%)

series475.0ms (8.2%)

simplify156.0ms (2.7%)

prune241.0ms (4.2%)

regimes135.0ms (2.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (21.6%)

Profiling