Details

sample356.0ms

Algorithm

intervals

Results

131.0ms	1717×	body	80	nan
31.0ms	397×	body	80	valid
4.0ms	15×	body	320	valid
3.0ms	7×	body	640	valid
2.0ms	15×	body	160	valid

simplify40.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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: 1.4b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0b	(log (- 1.0 z))

rewrite33.0ms

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:

8.0ms	(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))

series105.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
17.0ms	(* y (- (log z) t))
37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (57.0ms)

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

prune190.0ms

Filtered

113 candidates to 83 candidates (26.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Merged error: 0.0b

Counts

114 → 3

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

rewrite70.0ms

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:

18.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
20.0ms	(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))
19.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series149.0ms

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))
58.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
13.0ms	(* 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)))

simplify82.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (65.0ms)

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

prune298.0ms

Filtered

135 candidates to 88 candidates (34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	135	3	138

Merged error: 0.0b

Counts

138 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0b	(log (- 1.0 z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

6.0ms	(pow E (+ (* 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))

series109.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow E (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms	(* y (- (log z) t))
38.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms	(log (- 1.0 z))

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	716	1088
1	2804	1028
2	5003	999

prune186.0ms

Filtered

119 candidates to 87 candidates (26.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0.0b

Counts

122 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0b	(log (- 1.0 z))
6.0b	(log (- 1.0 z))
6.0b	(log (- 1.0 z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`associate--l+`
14×	`associate-+r+`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cube-cbrt`
10×	`associate-+l+`
8×	`associate-*r/`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`sub-neg` `frac-add` `add-cbrt-cube`
3×	`rem-log-exp` `log-pow`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 87

Calls

4 calls:

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	502	830
1	1690	790
2	5001	789

prune345.0ms

Filtered

99 candidates to 80 candidates (19.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

regimes648.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.9s	52877×	body	80	nan
1.0s	12395×	body	80	valid
172.0ms	402×	body	640	valid
114.0ms	416×	body	320	valid
61.0ms	74×	body	1280	valid
50.0ms	298×	body	160	valid

Details

sample356.0ms

simplify40.0ms

prune5.0ms

localize17.0ms

rewrite33.0ms

series105.0ms

simplify67.0ms

prune190.0ms

localize22.0ms

rewrite70.0ms

series149.0ms

simplify82.0ms

prune298.0ms

localize17.0ms

rewrite31.0ms

series109.0ms

simplify73.0ms

prune186.0ms

localize26.0ms

rewrite25.0ms

series47.0ms

simplify53.0ms

prune345.0ms

regimes648.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.9s

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