Details

analyze238.0ms

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%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

sample75.0ms

Algorithm

intervals

Results

28.0ms	50×	body	1280	valid
17.0ms	47×	body	640	valid
12.0ms	125×	body	80	valid
7.0ms	29×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	9×	body	80	overflowed
1.0ms	7×	body	80	invalid
1.0ms	1×	body	1280	invalid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4915	27
1	4915	27

prune9.0ms

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: 31.1b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (/.f64 1.0 eps))
0.0b	(*.f64 (-.f64 1.0 eps) x)
0.0b	(*.f64 (+.f64 1.0 eps) x)
2.2b	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub_binary64`
72×	`exp-neg_binary64` `frac-times_binary64`
54×	`neg-sub0_binary64` `exp-diff_binary64`
40×	`associate-*l/_binary64`
36×	`associate-*r/_binary64`
29×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
18×	`un-div-inv_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 147

Calls

4 calls:

6.0ms	(+.f64 1.0 (/.f64 1.0 eps))
7.0ms	(*.f64 (-.f64 1.0 eps) x)
7.0ms	(*.f64 (+.f64 1.0 eps) x)
20.0ms	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

series76.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 1.0 (/.f64 1.0 eps))
6.0ms	(*.f64 (-.f64 1.0 eps) x)
6.0ms	(*.f64 (+.f64 1.0 eps) x)
60.0ms	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5126	6250

prune229.0ms

Filtered

80 candidates to 159 candidates (-98.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	157	4	161

Merged error: 0.6b

Counts

161 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 0.6666666666666667)
6.8b	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 0.6666666666666667) 2.0) (.f64 1.0 (*.f64 x x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-r_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `diff-log_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 44

Calls

2 calls:

6.0ms	(*.f64 (pow.f64 x 3) 0.6666666666666667)
9.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 0.6666666666666667) 2.0) (.f64 1.0 (*.f64 x x)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 x 3) 0.6666666666666667)
6.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 0.6666666666666667) 2.0) (.f64 1.0 (*.f64 x x)))

simplify31.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5346	457

prune61.0ms

Filtered

32 candidates to 50 candidates (-56.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.6b

Counts

54 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(pow.f64 (+.f64 2.0 (*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))) 3)

0.0b

(*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))

3.8b

(cbrt.f64 (pow.f64 (+.f64 2.0 (*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
4×	`cube-div_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`cbrt-div_binary64` `flip3-+_binary64` `sub-neg_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

4.0ms

(pow.f64 (+.f64 2.0 (*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))) 3)

10.0ms

(*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))

6.0ms

(cbrt.f64 (pow.f64 (+.f64 2.0 (*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))) 3))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms

(pow.f64 (+.f64 2.0 (*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))) 3)

10.0ms

(*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))

6.0ms

(cbrt.f64 (pow.f64 (+.f64 2.0 (*.f64 (*.f64 x x) (-.f64 (*.f64 x 0.6666666666666667) 1.0))) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4966	1202
1	4966	1202

prune81.0ms

Filtered

44 candidates to 80 candidates (-81.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	80	6	86

Merged error: 0.6b

Counts

86 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0))
0.2b	(/.f64 (cbrt.f64 (+.f64 8.0 (.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0)))) 2.0)
10.2b	(cbrt.f64 (+.f64 8.0 (.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
15×	`cbrt-prod_binary64`
10×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`associate-/l*_binary64`
4×	`cbrt-div_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 77

Calls

3 calls:

10.0ms	(.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0))
6.0ms	(/.f64 (cbrt.f64 (+.f64 8.0 (.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0)))) 2.0)
3.0ms	(cbrt.f64 (+.f64 8.0 (.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0))))

series37.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0))
15.0ms	(/.f64 (cbrt.f64 (+.f64 8.0 (.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0)))) 2.0)
12.0ms	(cbrt.f64 (+.f64 8.0 (.f64 (.f64 x x) (-.f64 (*.f64 x 8.0) 12.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4945	1660
1	4945	1660

prune103.0ms

Filtered

72 candidates to 86 candidates (-19.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Merged error: 0.6b

Counts

92 → 6

regimes131.0ms

Accuracy

96.1% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 16.3b

bsearch77.0ms

Steps

Iters	Range		Point
9	0.24996242650620346	137710839.58421397	301.0358346712036

simplify10.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	475	49
1	475	49

end0.0ms

sample2.1s

Algorithm

intervals

Results

960.0ms	1752×	body	1280	valid
434.0ms	1244×	body	640	valid
327.0ms	4059×	body	80	valid
152.0ms	629×	body	320	valid
50.0ms	316×	body	160	valid
17.0ms	209×	body	80	invalid
16.0ms	202×	body	80	overflowed
12.0ms	22×	body	1280	invalid
5.0ms	14×	body	640	invalid
3.0ms	9×	body	320	invalid
0.0ms	2×	body	160	invalid

Details

analyze238.0ms

sample75.0ms

simplify70.0ms

prune9.0ms

localize17.0ms

rewrite49.0ms

series76.0ms

simplify80.0ms

prune229.0ms

localize9.0ms

rewrite17.0ms

series11.0ms

simplify31.0ms

prune61.0ms

localize11.0ms

rewrite23.0ms

series22.0ms

simplify56.0ms

prune81.0ms

localize9.0ms

rewrite21.0ms

series37.0ms

simplify63.0ms

prune103.0ms

regimes131.0ms

bsearch77.0ms

simplify10.0ms

end0.0ms

sample2.1s

Profiling