Details

analyze320.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample52.0ms

Algorithm

intervals

Results

12.0ms	176×	body	80	valid
11.0ms	31×	body	640	valid
10.0ms	14×	body	1280	valid
4.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	7×	body	80	nan

simplify240.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (237.0ms)

Iter	Nodes	Cost
0	5378	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: 8.8b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1.0 y))))
0.0b	(*.f64 z (log.f64 (-.f64 1.0 y)))
0.2b	(*.f64 x (log.f64 y))
6.6b	(log.f64 (-.f64 1.0 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod_binary64`
31×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
11×	`pow1_binary64`
10×	`associate-+r+_binary64`
9×	`add-exp-log_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64` `associate-l_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 97

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1.0 y))))
10.0ms	(*.f64 z (log.f64 (-.f64 1.0 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1.0 y))

series36.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1.0 y))))
9.0ms	(*.f64 z (log.f64 (-.f64 1.0 y)))
8.0ms	(*.f64 x (log.f64 y))
3.0ms	(log.f64 (-.f64 1.0 y))

simplify38.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5417	1067

prune136.0ms

Filtered

80 candidates to 109 candidates (-36.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0.1b

Counts

110 → 7

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))))))

0.0b

(*.f64 z (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))

0.2b

(*.f64 x (log.f64 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
12×	`associate--l+_binary64`
10×	`associate-r_binary64`
9×	`pow1_binary64`
8×	`associate-+r+_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-+l+_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`sub-neg_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 81

Calls

3 calls:

8.0ms

(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))))))

12.0ms

(*.f64 z (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))

5.0ms

(*.f64 x (log.f64 y))

series58.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms

(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0)))))))

22.0ms

(*.f64 z (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 y) (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 1.0 1.0))))))

8.0ms

(*.f64 x (log.f64 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5199	1471

prune126.0ms

Filtered

65 candidates to 90 candidates (-38.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	91	6	97

Merged error: 0.1b

Counts

97 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

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

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 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
20.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune122.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Merged error: 0.1b

Counts

91 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (pow.f64 y 1/3))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
10×	`add-exp-log_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64`
5×	`pow1_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-unpow_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `unpow1/3_binary64`
1×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-pow_binary64` `pow-sqr_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (pow.f64 y 1/3))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 1/3)

series73.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (cbrt.f64 y) (pow.f64 y 1/3))
17.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
16.0ms	(pow.f64 y 1/3)

simplify73.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5244	345

prune96.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.1b

Counts

93 → 7

regimes277.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	113	39
1	113	39

end0.0ms

sample1.5s

Algorithm

intervals

Results

362.0ms	5496×	body	80	valid
334.0ms	909×	body	640	valid
280.0ms	422×	body	1280	valid
165.0ms	745×	body	320	valid
58.0ms	428×	body	160	valid
17.0ms	259×	body	80	nan
2.0ms	26×	body	80	invalid

Details

analyze320.0ms

sample52.0ms

simplify240.0ms

prune4.0ms

localize10.0ms

rewrite29.0ms

series36.0ms

simplify38.0ms

prune136.0ms

localize17.0ms

rewrite27.0ms

series58.0ms

simplify64.0ms

prune126.0ms

localize23.0ms

rewrite12.0ms

series78.0ms

simplify48.0ms

prune122.0ms

localize29.0ms

rewrite14.0ms

series73.0ms

simplify73.0ms

prune96.0ms

regimes277.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.5s

Profiling