Details

analyze398.0ms (9.2%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	234×	body	128	valid
1.0ms	14×	body	512	valid
1.0ms	21×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify313.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_7943`
18×	`*-un-lft-identity_binary64_7921`
15×	`cancel-sign-sub-inv_binary64_7887`
12×	`add-cube-cbrt_binary64_7956`
11×	`add-cbrt-cube_binary64_7957` `pow1_binary64_7982` `add-exp-log_binary64_7959`
10×	`associate-*l/_binary64_7864`
8×	`associate-r_binary64_7861` `distribute-lft-in_binary64_7870` `flip3--_binary64_7925` `add-log-exp_binary64_7960` `distribute-rgt-in_binary64_7871` `flip--_binary64_7896` `associate-+r+_binary64_7853`
6×	`associate-l_binary64_7862`
5×	`sub-neg_binary64_7914`
4×	`frac-times_binary64_7931` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `pow-prod-down_binary64_7992`
3×	`distribute-lft-out--_binary64_7873` `difference-of-squares_binary64_7890`
2×	`associate-r/_binary64_7863` `-commutative_binary64_7852`
1×	`+-commutative_binary64_7851` `diff-log_binary64_8013` `unswap-sqr_binary64_7889` `flip3-+_binary64_7924` `sum-log_binary64_8012` `flip-+_binary64_7895`

Counts

4 → 93

Calls

4 calls:

11.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
6.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

series114.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
36.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
19.0ms	(*.f64 (-.f64 y x) 6)
15.0ms	(-.f64 2/3 z)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5014	1467

prune117.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	94	11	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	11	106

Error

0.0b

Counts

106 → 11

Compiler

Compiled 1974 to 1166 computations (40.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-l_binary64_7862`
13×	`add-sqr-sqrt_binary64_7943`
11×	`add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `pow1_binary64_7982` `add-exp-log_binary64_7959` `*-un-lft-identity_binary64_7921`
9×	`add-cube-cbrt_binary64_7956`
8×	`associate-*l/_binary64_7864`
6×	`associate-*r/_binary64_7863`
4×	`associate-r_binary64_7861` `flip3--_binary64_7925` `frac-add_binary64_7929` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `flip3-+_binary64_7924` `flip--_binary64_7896` `sum-log_binary64_8012` `flip-+_binary64_7895` `pow-prod-down_binary64_7992`
3×	`distribute-rgt-neg-in_binary64_7879` `distribute-lft-neg-in_binary64_7878`
2×	`+-commutative_binary64_7851` `*-commutative_binary64_7852` `distribute-lft-neg-out_binary64_7880`
1×	`distribute-lft-out--_binary64_7873` `unsub-neg_binary64_7915` `associate-+l+_binary64_7854` `unswap-sqr_binary64_7889` `difference-of-squares_binary64_7890` `neg-mul-1_binary64_7917`

Counts

4 → 79

Calls

4 calls:

8.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
8.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
6.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series127.0ms (3%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
40.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
21.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
19.0ms	(*.f64 (-.f64 y x) 6)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4966	1542
1	4966	1542

prune98.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	93	9	102

Error

0.0b

Counts

102 → 9

Compiler

Compiled 2165 to 1122 computations (48.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 x y))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z (-.f64 x y)) 6))
0.3b	(.f64 (.f64 z (-.f64 x y)) 6)

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_7943`
11×	`add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `pow1_binary64_7982` `add-exp-log_binary64_7959` `*-un-lft-identity_binary64_7921`
9×	`add-cube-cbrt_binary64_7956`
8×	`associate-r_binary64_7861` `associate-*r/_binary64_7863`
6×	`cancel-sign-sub-inv_binary64_7887` `associate-*l/_binary64_7864`
4×	`distribute-lft-in_binary64_7870` `flip3--_binary64_7925` `frac-add_binary64_7929` `prod-exp_binary64_7970` `distribute-rgt-in_binary64_7871` `associate-l_binary64_7862` `cbrt-unprod_binary64_7954` `flip3-+_binary64_7924` `flip--_binary64_7896` `sum-log_binary64_8012` `flip-+_binary64_7895` `pow-prod-down_binary64_7992`
2×	`+-commutative_binary64_7851` `sub-neg_binary64_7914` `*-commutative_binary64_7852`
1×	`distribute-lft-out--_binary64_7873` `associate-+l+_binary64_7854` `unswap-sqr_binary64_7889` `difference-of-squares_binary64_7890`

Counts

4 → 78

Calls

4 calls:

7.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z (-.f64 x y)) 6))
7.0ms	(.f64 (.f64 z (-.f64 x y)) 6)
7.0ms	(*.f64 z (-.f64 x y))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series140.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z (-.f64 x y)) 6))
37.0ms	(.f64 (.f64 z (-.f64 x y)) 6)
29.0ms	(*.f64 z (-.f64 x y))
23.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	1613
1	4959	1613

prune87.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	90	9	99

Error

0.0b

Counts

99 → 9

Compiler

Compiled 2131 to 1002 computations (53% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 2/3 z))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (*.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z))))
0.4b	(.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z)))) (cbrt.f64 (-.f64 2/3 z)))
0.9b	(*.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z)))

rewrite107.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`cbrt-div_binary64_7953`
168×	`frac-times_binary64_7931`
142×	`flip3--_binary64_7925` `flip--_binary64_7896`
132×	`associate-*l/_binary64_7864`
60×	`associate-*r/_binary64_7863`
41×	`pow1_binary64_7982`
38×	`cbrt-prod_binary64_7952`
36×	`add-exp-log_binary64_7959`
35×	`add-sqr-sqrt_binary64_7943`
33×	`*-un-lft-identity_binary64_7921`
23×	`pow-prod-down_binary64_7992`
22×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
21×	`add-cbrt-cube_binary64_7957`
17×	`associate-r_binary64_7861`
15×	`add-cube-cbrt_binary64_7956`
10×	`associate-l_binary64_7862` `swap-sqr_binary64_7888`
8×	`distribute-lft-out--_binary64_7873`
7×	`pow1/3_binary64_8003`
6×	`difference-of-squares_binary64_7890`
4×	`add-log-exp_binary64_7960` `unswap-sqr_binary64_7889`
3×	`*-commutative_binary64_7852`
2×	`pow-prod-up_binary64_7991` `pow-sqr_binary64_7894`
1×	`pow2_binary64_8002` `pow-plus_binary64_7984`

Counts

4 → 231

Calls

4 calls:

28.0ms	(.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z)))) (cbrt.f64 (-.f64 2/3 z)))
17.0ms	(.f64 (.f64 (-.f64 y x) 6) (*.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z))))
16.0ms	(*.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z)))
3.0ms	(cbrt.f64 (-.f64 2/3 z))

series235.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(.f64 (.f64 (-.f64 y x) 6) (*.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z))))
43.0ms	(.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z)))) (cbrt.f64 (-.f64 2/3 z)))
27.0ms	(*.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (-.f64 2/3 z)))
25.0ms	(cbrt.f64 (-.f64 2/3 z))

simplify106.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5246	8223

prune500.0ms (11.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	243	9	252

Error

0.0b

Counts

252 → 9

Compiler

Compiled 8178 to 5416 computations (33.8% saved)

regimes338.0ms (7.8%)

Accuracy

Total 0.2b remaining (85.1%)

Threshold costs 0.2b (85.1%)

Compiler

Compiled 3937 to 3111 computations (21% saved)

bsearch0.0ms (0%)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	257	22
1	257	22

end0.0ms (0%)

sample1.2s (28.7%)

Algorithm

1×

intervals

Results

280.0ms	7324×	body	128	valid
31.0ms	237×	body	1024	valid
27.0ms	270×	body	512	valid
22.0ms	603×	body	128	invalid
14.0ms	169×	body	256	valid

Compiler

Compiled 808 to 638 computations (21% saved)

Details

analyze398.0ms (9.2%)

sample19.0ms (0.4%)

simplify313.0ms (7.3%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite32.0ms (0.8%)

series114.0ms (2.6%)

simplify71.0ms (1.7%)

prune117.0ms (2.7%)

localize9.0ms (0.2%)

rewrite35.0ms (0.8%)

series127.0ms (3%)

simplify69.0ms (1.6%)

prune98.0ms (2.3%)

localize10.0ms (0.2%)

rewrite33.0ms (0.8%)

series140.0ms (3.2%)

simplify78.0ms (1.8%)

prune87.0ms (2%)

localize12.0ms (0.3%)

rewrite107.0ms (2.5%)

series235.0ms (5.4%)

simplify106.0ms (2.4%)

prune500.0ms (11.6%)

regimes338.0ms (7.8%)

bsearch0.0ms (0%)

simplify13.0ms (0.3%)

end0.0ms (0%)

sample1.2s (28.7%)

Profiling