Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 47.041545%

Guaranteed chance to sample good point: 0%

Results

38.0ms	502×	body	80	nan
33.0ms	403×	body	80	valid
6.0ms	13×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	11×	body	160	valid
2.0ms	2×	body	1280	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune5.0ms

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: 1.8b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.1b	(log (- 1.0 z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `associate-r` `add-cbrt-cube` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

9.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
7.0ms	(* y (- (log z) t))
11.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series118.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(* y (- (log z) t))
45.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify69.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	657	992
1	2473	924
2	5001	894

prune215.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Merged error: 0.3b

Counts

114 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate--l+`
27×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
13×	`associate-r`
12×	`sub-neg` `associate-*r/`
10×	`pow1` `associate-+l+`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`flip3--` `associate-l` `flip--`
4×	`frac-add`
3×	`exp-prod`
2×	`pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `exp-sum` `flip-+`

Counts

4 → 123

Calls

4 calls:

20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
17.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
7.0ms	(* y (- (log z) t))
20.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
66.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
14.0ms	(* y (- (log z) t))
56.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify84.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	662	1755
1	2763	1645
2	5002	1626

prune317.0ms

Filtered

87 candidates to 135 candidates (-55.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	136	5	141

Merged error: 0.0b

Counts

141 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.1b	(log (- 1.0 z))
5.1b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
32×	`associate--l+`
28×	`associate-+r+`
26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `distribute-lft-in`
20×	`associate-+l+`
16×	`associate-*r/`
14×	`add-cube-cbrt`
10×	`flip3--` `flip--`
8×	`sub-neg` `frac-add` `add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
4×	`log-div` `add-cbrt-cube`
2×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 110

Calls

4 calls:

12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

series87.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	502	1260
1	1690	1200
2	5001	1198

prune360.0ms

Filtered

100 candidates to 122 candidates (-22.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	123	4	127

Merged error: 0.0b

Counts

127 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
5.1b	(log (- 1.0 z))
5.1b	(log (- 1.0 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`log-prod`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `cbrt-prod`
4×	`log-div` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `pow1/3` `rem-log-exp` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
3.0ms	(log (- 1.0 z))
4.0ms	(log (- 1.0 z))

series54.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt z)
25.0ms	(cbrt z)
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	178	312
1	442	284
2	1465	254
3	5001	252

prune160.0ms

Filtered

52 candidates to 66 candidates (-26.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

regimes674.0ms

Accuracy

52.1% (0.9b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	48
1	77	48
2	89	48
3	99	48
4	99	48

end0.0ms

sample6.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 47.041545%

Guaranteed chance to sample good point: 0%

Results

1.2s	15120×	body	80	nan
993.0ms	12459×	body	80	valid
148.0ms	354×	body	640	valid
106.0ms	398×	body	320	valid
53.0ms	66×	body	1280	valid
47.0ms	283×	body	160	valid

Details

sample2.8s

simplify39.0ms

prune5.0ms

localize15.0ms

rewrite34.0ms

series118.0ms

simplify69.0ms

prune215.0ms

localize22.0ms

rewrite69.0ms

series157.0ms

simplify84.0ms

prune317.0ms

localize18.0ms

rewrite37.0ms

series87.0ms

simplify55.0ms

prune360.0ms

localize35.0ms

rewrite11.0ms

series54.0ms

simplify47.0ms

prune160.0ms

regimes674.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample6.6s

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