Details

analyze328.0ms

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

sample57.0ms

Algorithm

intervals

Results

30.0ms	140×	body	5120	exit
7.0ms	196×	body	80	valid
5.0ms	25×	body	320	valid
4.0ms	22×	body	640	valid
1.0ms	13×	body	160	valid
0.0ms	2×	body	80	invalid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	6196	12

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 13.9b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
4.0b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-+r-_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 91

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))
18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
7.0ms	(/.f64 x (exp.f64 wj))
12.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5860	1345

prune108.0ms

Filtered

73 candidates to 100 candidates (-37.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Merged error: 0.2b

Counts

102 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
6.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
7.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))

simplify58.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4935	405
1	4935	405

prune47.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.2b

Counts

47 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 wj (.f64 x -2))) (cbrt.f64 (+.f64 wj (*.f64 x -2))))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
0.6b	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 wj (.f64 x -2))) (cbrt.f64 (+.f64 wj (*.f64 x -2))))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
3.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (+.f64 wj (.f64 x -2))) (cbrt.f64 (+.f64 wj (*.f64 x -2))))
28.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
25.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))
25.0ms	(cbrt.f64 (+.f64 wj (*.f64 x -2)))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4905	1190
1	4905	1190

prune130.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0.2b

Counts

106 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (sqrt.f64 (exp.f64 wj)))
0.0b	(/.f64 1 (sqrt.f64 (exp.f64 wj)))
0.0b	(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 wj))) (/.f64 x (sqrt.f64 (exp.f64 wj))))
4.0b	(+.f64 wj (/.f64 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (exp.f64 wj))) (/.f64 x (sqrt.f64 (exp.f64 wj)))) wj) (+.f64 wj 1)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt_binary64`
94×	`times-frac_binary64`
69×	`*-un-lft-identity_binary64`
61×	`add-cube-cbrt_binary64`
53×	`sqrt-prod_binary64`
32×	`add-exp-log_binary64`
22×	`associate-r_binary64` `associate-l_binary64`
20×	`add-cbrt-cube_binary64`
15×	`unswap-sqr_binary64`
12×	`associate-/r*_binary64`
11×	`div-exp_binary64`
8×	`pow1_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `pow-flip_binary64`
4×	`cbrt-unprod_binary64` `sqrt-pow1_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `exp-prod_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-+r-_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 183

Calls

4 calls:

6.0ms	(/.f64 x (sqrt.f64 (exp.f64 wj)))
6.0ms	(/.f64 1 (sqrt.f64 (exp.f64 wj)))
23.0ms	(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 wj))) (/.f64 x (sqrt.f64 (exp.f64 wj))))
21.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (exp.f64 wj))) (/.f64 x (sqrt.f64 (exp.f64 wj)))) wj) (+.f64 wj 1)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 x (sqrt.f64 (exp.f64 wj)))
5.0ms	(/.f64 1 (sqrt.f64 (exp.f64 wj)))
8.0ms	(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 wj))) (/.f64 x (sqrt.f64 (exp.f64 wj))))
10.0ms	(+.f64 wj (/.f64 (-.f64 (*.f64 (/.f64 1 (sqrt.f64 (exp.f64 wj))) (/.f64 x (sqrt.f64 (exp.f64 wj)))) wj) (+.f64 wj 1)))

simplify64.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5204	1824

prune120.0ms

Filtered

112 candidates to 195 candidates (-74.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	195	7	202

Merged error: 0.2b

Counts

202 → 7

regimes101.0ms

Accuracy

56.9% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 2.2b

bsearch16.0ms

Steps

Iters	Range		Point
8	5.173881854201983e-20	5.182433440735072e-16	5.067437279036206e-16

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	31
1	35	31

end0.0ms

sample1.5s

Algorithm

intervals

Results

799.0ms	3628×	body	5120	exit
231.0ms	6230×	body	80	valid
90.0ms	777×	body	320	valid
82.0ms	479×	body	640	valid
40.0ms	514×	body	160	valid
3.0ms	71×	body	80	invalid
1.0ms	15×	body	80	overflowed

Details

analyze328.0ms

sample57.0ms

simplify74.0ms

prune8.0ms

localize8.0ms

rewrite38.0ms

series30.0ms

simplify58.0ms

prune108.0ms

localize6.0ms

rewrite11.0ms

series14.0ms

simplify58.0ms

prune47.0ms

localize12.0ms

rewrite21.0ms

series112.0ms

simplify62.0ms

prune130.0ms

localize12.0ms

rewrite64.0ms

series33.0ms

simplify64.0ms

prune120.0ms

regimes101.0ms

bsearch16.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling