Details

analyze2.1s (28.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	80	valid
1.0ms	10×	body	80	invalid

simplify181.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune20.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 32.3b

Counts

2 → 1

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
31.5b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite65.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64` `times-frac_binary64`
6×	`associate-*l/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 91

Calls

4 calls:

29.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series265.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
30.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y)
18.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
11.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4943	2307
1	4943	2307

prune240.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Merged error: 31.2b

Counts

104 → 12

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
0.6b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
30.9b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite85.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64` `add-exp-log_binary64`
20×	`times-frac_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64` `associate-*l/_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64`
1×	`associate-*r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

4 → 115

Calls

4 calls:

34.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
15.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
13.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series244.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
29.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
19.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
11.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5353	2861

prune235.0ms (3.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	127	12	139

Merged error: 31.2b

Counts

139 → 12

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

16.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
16.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
16.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
31.5b	(/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite80.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`cbrt-div_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64` `cbrt-prod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 64

Calls

4 calls:

35.0ms	(/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
17.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
13.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
13.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))

series312.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
51.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
51.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
50.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5010	2281

prune190.0ms (2.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	76	12	88

Merged error: 31.2b

Counts

88 → 12

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 x y) z))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705))
0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t)))
31.6b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite83.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
64×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
15×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
9×	`pow1_binary64`
8×	`flip3-+_binary64` `div-exp_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 159

Calls

4 calls:

30.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t)))
29.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705))
7.0ms	(.f64 y (+.f64 (.f64 x y) z))

series484.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

290.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t))
174.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t)))
12.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705))
8.0ms	(.f64 y (+.f64 (.f64 x y) z))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4957	6447
1	4957	6447

prune244.0ms (3.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	171	12	183

Merged error: 31.2b

Counts

183 → 12

regimes1.2s (15.9%)

Accuracy

Total 1.1b remaining (3.7%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms (0%)

sample1.2s (15.1%)

Algorithm

1×

intervals

Results

738.0ms	8000×	body	80	valid
20.0ms	232×	body	80	invalid

Details

analyze2.1s (28.2%)

sample46.0ms (0.6%)

simplify181.0ms (2.4%)

prune20.0ms (0.3%)

localize40.0ms (0.5%)

rewrite65.0ms (0.9%)

series265.0ms (3.5%)

simplify49.0ms (0.6%)

prune240.0ms (3.2%)

localize23.0ms (0.3%)

rewrite85.0ms (1.1%)

series244.0ms (3.2%)

simplify46.0ms (0.6%)

prune235.0ms (3.1%)

localize31.0ms (0.4%)

rewrite80.0ms (1.1%)

series312.0ms (4.1%)

simplify47.0ms (0.6%)

prune190.0ms (2.5%)

localize23.0ms (0.3%)

rewrite83.0ms (1.1%)

series484.0ms (6.4%)

simplify65.0ms (0.9%)

prune244.0ms (3.2%)

regimes1.2s (15.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (15.1%)

Profiling