Details

analyze934.0ms (24.1%)

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
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

sample52.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms	189×	body	80	valid
9.0ms	18×	body	1280	valid
7.0ms	21×	body	640	valid
4.0ms	20×	body	320	valid
2.0ms	7×	body	640	invalid
2.0ms	4×	body	1280	invalid
1.0ms	28×	body	80	nan
1.0ms	8×	body	160	valid
1.0ms	12×	body	80	invalid
0.0ms	2×	body	320	invalid
0.0ms	3×	body	160	invalid

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune7.0ms (0.2%)

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: 5.7b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b	(/.f64 y (+.f64 y z))
5.1b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
118×	`*-un-lft-identity_binary64`
90×	`unpow-prod-down_binary64`
80×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
25×	`associate-/l*_binary64`
19×	`distribute-lft-out_binary64`
16×	`add-exp-log_binary64`
12×	`associate-/r/_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `div-inv_binary64` `div-exp_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`sqr-pow_binary64`
4×	`pow1_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-pow_binary64`

Counts

3 → 172

Calls

3 calls:

12.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
11.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
6.0ms	(/.f64 y (+.f64 y z))

series91.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
41.0ms	(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
6.0ms	(/.f64 y (+.f64 y z))

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4950	2640
1	4950	2640

prune187.0ms (4.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Merged error: 0.0b

Counts

182 → 3

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.7b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
1.0b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite37.0ms (1%)

Algorithm

1×	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:

17.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
11.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series163.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
59.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
18.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5590	1970

prune144.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `add-exp-log_binary64`
1×	`add-log-exp_binary64` `pow1_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`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 z)) y)

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 z)) y)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4910	265
1	4910	265

prune39.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 1 (*.f64 y (exp.f64 z)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`prod-exp_binary64` `div-exp_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `pow-flip_binary64`
1×	`associate-/r_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(/.f64 1 (*.f64 y (exp.f64 z)))
5.0ms	(*.f64 y (exp.f64 z))

series13.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 1 (*.f64 y (exp.f64 z)))
6.0ms	(*.f64 y (exp.f64 z))

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5106	290

prune50.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	52	3	55

Merged error: 0b

Counts

55 → 3

regimes132.0ms (3.4%)

Accuracy

Total 1.0b remaining (64.5%)

Threshold costs 1.0b (64.5%)

bsearch41.0ms (1.1%)

Steps

Iters	Range		Point
8	-1.8362980939726566e+45	-2.3009172947189526e+42	-4.0045564192006734e+44

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	43
1	29	43

end0.0ms (0%)

sample1.6s (41.4%)

Algorithm

1×

intervals

Results

374.0ms	5987×	body	80	valid
360.0ms	700×	body	1280	valid
228.0ms	695×	body	640	valid
88.0ms	397×	body	320	valid
78.0ms	253×	body	640	invalid
52.0ms	105×	body	1280	invalid
51.0ms	1049×	body	80	nan
37.0ms	178×	body	320	invalid
31.0ms	221×	body	160	valid
20.0ms	334×	body	80	invalid
14.0ms	103×	body	160	invalid

Details

analyze934.0ms (24.1%)

sample52.0ms (1.4%)

simplify44.0ms (1.1%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

rewrite37.0ms (1%)

series91.0ms (2.3%)

simplify61.0ms (1.6%)

prune187.0ms (4.8%)

localize18.0ms (0.5%)

rewrite37.0ms (1%)

series163.0ms (4.2%)

simplify56.0ms (1.4%)

prune144.0ms (3.7%)

localize8.0ms (0.2%)

rewrite7.0ms (0.2%)

series6.0ms (0.2%)

simplify64.0ms (1.6%)

prune39.0ms (1%)

localize9.0ms (0.2%)

rewrite13.0ms (0.3%)

series13.0ms (0.3%)

simplify43.0ms (1.1%)

prune50.0ms (1.3%)

regimes132.0ms (3.4%)

bsearch41.0ms (1.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (41.4%)

Profiling