Details

analyze53.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify579.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4850	11
1	4850	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
7.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
15.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series47.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
5.0ms	(*.f64 m (-.f64 1 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
31.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5495	960

prune117.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1)
0.0b	(-.f64 (*.f64 m m) m)
0.0b	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
0.2b	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64`
35×	`add-cube-cbrt_binary64`
20×	`difference-of-squares_binary64`
18×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
12×	`distribute-rgt-out--_binary64`
10×	`associate-/r_binary64` `associate-l*_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `neg-mul-1_binary64`
5×	`associate-/l*_binary64`
4×	`flip3--_binary64` `difference-of-sqr-1_binary64` `flip--_binary64`
3×	`associate-r_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `div-sub_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

21.0ms	(-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1)
5.0ms	(-.f64 (*.f64 m m) m)
8.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
28.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)

series26.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1)
5.0ms	(-.f64 (*.f64 m m) m)
6.0ms	(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
7.0ms	(.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) m) (neg.f64 v)) 1) m)

simplify54.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5107	1996

prune126.0ms

Filtered

112 candidates to 151 candidates (-34.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	152	7	159

Merged error: 0b

Counts

159 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (cbrt.f64 (.f64 m (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))))
0.6b	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
0.6b	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
0.6b	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (cbrt.f64 (.f64 m (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))))
10.0ms	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
13.0ms	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
10.0ms	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (cbrt.f64 (.f64 m (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))))
35.0ms	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
31.0ms	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))
35.0ms	(cbrt.f64 (.f64 m (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5453	1611

prune142.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 m) (cbrt.f64 m))
0.6b	(cbrt.f64 m)
0.6b	(cbrt.f64 m)
0.6b	(cbrt.f64 m)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 m) (cbrt.f64 m))
1.0ms	(cbrt.f64 m)
1.0ms	(cbrt.f64 m)
1.0ms	(cbrt.f64 m)

series60.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 m) (cbrt.f64 m))
14.0ms	(cbrt.f64 m)
14.0ms	(cbrt.f64 m)
14.0ms	(cbrt.f64 m)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune72.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	12
1	41	12

end0.0ms

sample536.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
150.0ms	8067×	pre	80	true
2.0ms	67×	body	80	invalid

Details

analyze53.0ms

sample23.0ms

simplify579.0ms

prune7.0ms

localize9.0ms

rewrite44.0ms

series47.0ms

simplify50.0ms

prune117.0ms

localize8.0ms

rewrite67.0ms

series26.0ms

simplify54.0ms

prune126.0ms

localize13.0ms

rewrite41.0ms

series142.0ms

simplify39.0ms

prune142.0ms

localize12.0ms

rewrite12.0ms

series60.0ms

simplify49.0ms

prune72.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample536.0ms

Profiling