Details

analyze896.0ms

Algorithm

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample51.0ms

Algorithm

intervals

Results

15.0ms	40×	body	1024	valid
12.0ms	187×	body	128	valid
5.0ms	19×	body	512	valid
2.0ms	6×	body	1024	invalid
2.0ms	42×	body	128	nan
2.0ms	7×	body	512	invalid
1.0ms	10×	body	256	valid
1.0ms	13×	body	128	invalid
1.0ms	4×	body	256	invalid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4991	16
1	4991	16

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 6.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
6.4b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
8×	`distribute-lft-out_binary64` `add-exp-log_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 78

Calls

3 calls:

25.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
5.0ms	(/.f64 y (+.f64 y z))
7.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

series599.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
50.0ms	(/.f64 y (+.f64 y z))
375.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5021	1449

prune66.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.8b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
2.5b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64`
51×	`cbrt-prod_binary64`
48×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
14×	`cbrt-div_binary64`
10×	`associate-/r/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64` `pow-exp_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `distribute-lft-out_binary64`
5×	`div-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow-to-exp_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `div-inv_binary64` `associate-l/_binary64`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
12.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
17.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt.f64 y)
160.0ms	(cbrt.f64 y)
465.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
498.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5301	3064

prune129.0ms

Filtered

98 candidates to 128 candidates (-30.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
0.8b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
0.8b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
2.5b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

157×	`unpow-prod-down_binary64`
135×	`cbrt-prod_binary64`
127×	`times-frac_binary64`
126×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
26×	`add-exp-log_binary64`
18×	`cbrt-div_binary64` `distribute-lft-out_binary64`
14×	`associate-/r/_binary64`
12×	`pow-unpow_binary64`
11×	`pow-exp_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`pow1_binary64`
7×	`div-exp_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `div-inv_binary64` `frac-times_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`

Counts

4 → 220

Calls

4 calls:

12.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
12.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
13.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
20.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

series1.9s

Counts

4 → 12

Calls

4 calls:

461.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
463.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
462.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
500.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

simplify129.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5105	6848

prune292.0ms

Filtered

176 candidates to 232 candidates (-31.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	232	6	238

Merged error: 0.0b

Counts

238 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `exp-neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
6.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

series100.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
48.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify96.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4913	664
1	4913	664

prune30.0ms

Filtered

37 candidates to 47 candidates (-27.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

regimes83.0ms

bsearch77.0ms

Steps

Iters	Range		Point
11	-755.002691980299	-3.3744556692742244e-28	-6.827161746138895

Details

analyze896.0ms

sample51.0ms

simplify60.0ms

prune3.0ms

localize7.0ms

rewrite44.0ms

series599.0ms

simplify57.0ms

prune66.0ms

localize20.0ms

rewrite49.0ms

series1.3s

simplify75.0ms

prune129.0ms

localize23.0ms

rewrite112.0ms

series1.9s

simplify129.0ms

prune292.0ms

localize6.0ms

rewrite15.0ms

series100.0ms

simplify96.0ms

prune30.0ms

regimes83.0ms

bsearch77.0ms

Profiling