Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample97.0ms

Algorithm

intervals

Results

29.0ms	45×	body	1280	valid
22.0ms	52×	body	640	valid
8.0ms	115×	body	80	valid
6.0ms	4×	body	2560	valid
6.0ms	26×	body	320	valid
2.0ms	10×	body	640	nan
2.0ms	52×	body	80	nan
2.0ms	5×	body	1280	nan
2.0ms	14×	body	160	valid
1.0ms	21×	body	80	overflowed
1.0ms	4×	body	320	nan
0.0ms	3×	body	160	nan
0.0ms	2×	body	80	invalid

simplify264.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (261.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune4.0ms

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: 25.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))) t)
3.0b	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
3.3b	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`log-pow_binary64`
4×	`associate-/l*_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-r_binary64` `log-prod_binary64` `associate-l*_binary64` `flip-+_binary64`
2×	`div-sub_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

10.0ms	(*.f64 y (exp.f64 z))
15.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (exp.f64 z))
48.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z)))
28.0ms	(log.f64 (+.f64 (-.f64 1.0 y) (*.f64 y (exp.f64 z))))

simplify68.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5127	1261

prune119.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 5.4b

Counts

92 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 x (/.f64 (+.f64 (log.f64 1.0) (*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t))

2.2b

(*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))

5.6b

(/.f64 (+.f64 (log.f64 1.0) (*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

9.0ms

(-.f64 x (/.f64 (+.f64 (log.f64 1.0) (*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t))

9.0ms

(*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))

6.0ms

(/.f64 (+.f64 (log.f64 1.0) (*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t)

series73.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms

(-.f64 x (/.f64 (+.f64 (log.f64 1.0) (*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t))

12.0ms

(*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))

25.0ms

(/.f64 (+.f64 (log.f64 1.0) (*.f64 y (*.f64 z (+.f64 (*.f64 0.5 z) 1.0)))) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5438	1344

prune132.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	71	11	82

Merged error: 5.3b

Counts

82 → 11

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 (neg.f64 (log.f64 1.0)) (.f64 y (.f64 1.0 z))) t))
4.7b	(/.f64 (-.f64 (neg.f64 (log.f64 1.0)) (.f64 y (.f64 1.0 z))) t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 43

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 (neg.f64 (log.f64 1.0)) (.f64 y (.f64 1.0 z))) t))
8.0ms	(/.f64 (-.f64 (neg.f64 (log.f64 1.0)) (.f64 y (.f64 1.0 z))) t)

series34.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 x (/.f64 (-.f64 (neg.f64 (log.f64 1.0)) (.f64 y (.f64 1.0 z))) t))
15.0ms	(/.f64 (-.f64 (neg.f64 (log.f64 1.0)) (.f64 y (.f64 1.0 z))) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5094	768

prune338.0ms

Filtered

40 candidates to 49 candidates (-22.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	39	10	49
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	43	17	60

Merged error: 5.3b

Counts

60 → 17

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 x (/.f64 1 (/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z))))))

0.8b

(/.f64 1 (/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z)))))

4.7b

(/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
58×	`*-un-lft-identity_binary64`
55×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`distribute-lft-out_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 126

Calls

3 calls:

17.0ms

(+.f64 x (/.f64 1 (/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z))))))

9.0ms

(/.f64 1 (/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z)))))

6.0ms

(/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z))))

series77.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms

(+.f64 x (/.f64 1 (/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z))))))

18.0ms

(/.f64 1 (/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z)))))

34.0ms

(/.f64 t (-.f64 (neg.f64 (log.f64 1.0)) (*.f64 y (*.f64 1.0 z))))

simplify61.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5163	2591

prune134.0ms

Filtered

86 candidates to 135 candidates (-57.0%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	134	18	152

Merged error: 5.3b

Counts

152 → 18

regimes1.1s

Accuracy

60.9% (4.9b remaining)

Error of 9.6b against oracle of 4.7b and baseline of 17.3b

bsearch123.0ms

Steps

Iters	Range		Point
9	1.8550909217715098e-247	1.8395842924951235e-241	1.752020864510689e-241
10	-1028324598099.18	-29.767742835445514	-136.41029037088336

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	149	61
1	149	61

end0.0ms

sample2.6s

Algorithm

intervals

Results

853.0ms	1429×	body	1280	valid
553.0ms	1597×	body	640	valid
256.0ms	3490×	body	80	valid
205.0ms	930×	body	320	valid
112.0ms	91×	body	2560	valid
73.0ms	1511×	body	80	nan
63.0ms	463×	body	160	valid
59.0ms	232×	body	640	nan
46.0ms	828×	body	80	overflowed
38.0ms	102×	body	1280	nan
31.0ms	184×	body	320	nan
10.0ms	92×	body	160	nan
1.0ms	20×	body	80	invalid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	invalid

Details

analyze1.1s

sample97.0ms

simplify264.0ms

prune4.0ms

localize10.0ms

rewrite42.0ms

series88.0ms

simplify68.0ms

prune119.0ms

localize11.0ms

rewrite25.0ms

series73.0ms

simplify52.0ms

prune132.0ms

localize10.0ms

rewrite17.0ms

series34.0ms

simplify52.0ms

prune338.0ms

localize11.0ms

rewrite37.0ms

series77.0ms

simplify61.0ms

prune134.0ms

regimes1.1s

bsearch123.0ms

simplify3.0ms

end0.0ms

sample2.6s

Profiling