Details

analyze2.1s (2.5%)

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
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

sample82.0ms (0.1%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	80	valid
19.0ms	183×	body	80	nan

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5545	33

prune18.0ms (0%)

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: 2.7b

Counts

2 → 1

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (exp.f64 (.f64 2.0 (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (*.f64 t 3.0))))))))
0.3b	(/.f64 2.0 (*.f64 t 3.0))
1.1b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (*.f64 t 3.0)))))
5.4b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite46.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`frac-sub_binary64`
16×	`add-cbrt-cube_binary64`
15×	`add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`frac-times_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-*r/_binary64` `times-frac_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
4×	`flip3-+_binary64` `associate-/r_binary64` `associate--r+_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64` `flip-+_binary64`
3×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `div-inv_binary64` `sqrt-div_binary64` `associate--l+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

16.0ms	(.f64 y (exp.f64 (.f64 2.0 (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (*.f64 t 3.0))))))))
14.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (*.f64 t 3.0)))))
8.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
5.0ms	(/.f64 2.0 (*.f64 t 3.0))

series252.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(.f64 y (exp.f64 (.f64 2.0 (-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (*.f64 t 3.0))))))))
69.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (*.f64 t 3.0)))))
22.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
3.0ms	(/.f64 2.0 (*.f64 t 3.0))

simplify61.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4999	2679
1	4999	2679

prune210.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
1.1b	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (.f64 t 3.0)))))
2.0b	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))

rewrite57.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`add-sqr-sqrt_binary64`
60×	`frac-sub_binary64`
58×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
46×	`associate-r_binary64`
39×	`frac-times_binary64`
35×	`add-cube-cbrt_binary64`
31×	`cbrt-prod_binary64`
28×	`sqrt-prod_binary64`
27×	`associate-*r/_binary64`
25×	`flip3--_binary64` `add-exp-log_binary64` `flip--_binary64`
21×	`associate-*l/_binary64`
18×	`add-cbrt-cube_binary64`
10×	`unswap-sqr_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64`
4×	`associate--r+_binary64`
3×	`sub-neg_binary64`
2×	`pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `*-commutative_binary64`

Counts

4 → 166

Calls

4 calls:

25.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
20.0ms	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (.f64 t 3.0)))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series138.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(-.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t))) (.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5.0 6.0)) (/.f64 2.0 (.f64 t 3.0)))))
31.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (sqrt.f64 (+.f64 t a)) (cbrt.f64 t)))
19.0ms	(cbrt.f64 t)
18.0ms	(cbrt.f64 t)

simplify61.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5001	5661

prune442.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	178	3	181

Merged error: 0b

Counts

181 → 3

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 c (+.f64 a 0.8333333333333334))
0.0b	(exp.f64 (.f64 2.0 (-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (*.f64 a b))))
0.2b	(.f64 y (exp.f64 (.f64 2.0 (-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (.f64 a b)))))
1.5b	(-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (.f64 a b))

rewrite28.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`associate-r_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `exp-sum_binary64` `add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `associate--l+_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `rem-exp-log_binary64` `flip--_binary64` `exp-to-pow_binary64` `flip-+_binary64` `exp-prod_binary64`

Counts

4 → 76

Calls

4 calls:

8.0ms	(.f64 y (exp.f64 (.f64 2.0 (-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (.f64 a b)))))
7.0ms	(-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (.f64 a b))
6.0ms	(*.f64 c (+.f64 a 0.8333333333333334))
5.0ms	(exp.f64 (.f64 2.0 (-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (*.f64 a b))))

series64.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(.f64 y (exp.f64 (.f64 2.0 (-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (.f64 a b)))))
18.0ms	(exp.f64 (.f64 2.0 (-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (*.f64 a b))))
10.0ms	(-.f64 (.f64 c (+.f64 a 0.8333333333333334)) (.f64 a b))
6.0ms	(*.f64 c (+.f64 a 0.8333333333333334))

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4997	970
1	4997	970

prune114.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

2.1b	(.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0))))
3.6b	(.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0))))))
7.2b	(-.f64 (.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0)))))))
28.4b	(/.f64 (-.f64 (.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0))))))) (.f64 t (.f64 (*.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))))

rewrite518.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5114×	`associate-*r/_binary64`
1808×	`frac-sub_binary64`
1608×	`flip3--_binary64` `flip--_binary64`
1588×	`frac-times_binary64`
750×	`sqrt-div_binary64`
681×	`flip3-+_binary64` `flip-+_binary64`
500×	`associate-/l/_binary64`
488×	`associate-*l/_binary64`
110×	`sub-div_binary64`
80×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
49×	`sub-neg_binary64`
44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
36×	`associate--l+_binary64`
30×	`pow1_binary64`
24×	`cbrt-unprod_binary64` `prod-exp_binary64`
20×	`associate--r+_binary64`
18×	`pow-prod-down_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`associate-r_binary64` `associate-/r/_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `diff-log_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 1201

Calls

4 calls:

101.0ms	(/.f64 (-.f64 (.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0))))))) (.f64 t (.f64 (*.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))))
62.0ms	(-.f64 (.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0)))))))
36.0ms	(.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0))))))
19.0ms	(.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0))))

series671.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

349.0ms	(/.f64 (-.f64 (.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0))))))) (.f64 t (.f64 (*.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))))
229.0ms	(-.f64 (.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0)))))))
63.0ms	(.f64 t (.f64 (-.f64 b c) (-.f64 (.f64 (+.f64 a (/.f64 5.0 6.0)) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0)))) (.f64 2.0 (-.f64 a (/.f64 5.0 6.0))))))
30.0ms	(.f64 (.f64 z (sqrt.f64 (+.f64 t a))) (.f64 (.f64 t 3.0) (-.f64 a (/.f64 5.0 6.0))))

simplify636.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1213 → 1213

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5202	135924

prune1.3min (90.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1213	0	1213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1213	3	1216

Merged error: 0b

Counts

1216 → 3

regimes644.0ms (0.8%)

Accuracy

Total 1.9b remaining (76.9%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	436	40
1	436	40

end0.0ms (0%)

sample1.9s (2.2%)

Algorithm

1×

intervals

Results

824.0ms	8000×	body	80	valid
506.0ms	5176×	body	80	nan

Details

analyze2.1s (2.5%)

sample82.0ms (0.1%)

simplify54.0ms (0.1%)

prune18.0ms (0%)

localize29.0ms (0%)

rewrite46.0ms (0.1%)

series252.0ms (0.3%)

simplify61.0ms (0.1%)

prune210.0ms (0.3%)

localize28.0ms (0%)

rewrite57.0ms (0.1%)

series138.0ms (0.2%)

simplify61.0ms (0.1%)

prune442.0ms (0.5%)

localize16.0ms (0%)

rewrite28.0ms (0%)

series64.0ms (0.1%)

simplify48.0ms (0.1%)

prune114.0ms (0.1%)

localize35.0ms (0%)

rewrite518.0ms (0.6%)

series671.0ms (0.8%)

simplify636.0ms (0.8%)

prune1.3min (90.2%)

regimes644.0ms (0.8%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample1.9s (2.2%)

Profiling