Details

sample233.0ms

Algorithm

intervals

Results

85.0ms	1236×	body	80	nan
32.0ms	413×	body	80	valid
4.0ms	15×	body	320	valid
4.0ms	8×	body	640	valid
1.0ms	7×	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: 2.4b

Counts

2 → 1

localize16.0ms

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))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))

rewrite35.0ms

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))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series107.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(exp (+ (* 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)))
5.0ms	(log (- 1.0 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (56.0ms)

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

prune196.0ms

Filtered

113 candidates to 83 candidates (26.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Merged error: 0.5b

Counts

114 → 4

localize25.0ms

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))
0.8b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite67.0ms

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))
18.0ms	(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)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 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))
57.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify79.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (62.0ms)

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

prune300.0ms

Filtered

135 candidates to 87 candidates (35.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	135	4	139

Merged error: 0.0b

Counts

139 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3)
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
26×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
14×	`associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-r` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`unpow-prod-down` `pow-pow` `cube-prod` `frac-add` `difference-of-squares`
3×	`pow-unpow` `exp-prod` `associate-l`
2×	`log-div` `exp-sum` `log-pow`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3-+` `unpow3` `rem-log-exp` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

10.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3)
7.0ms	(* y (- (log z) t))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series147.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3)
13.0ms	(* y (- (log z) t))
41.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify82.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	752	1227
1	3024	1128
2	5002	1096

prune238.0ms

Filtered

128 candidates to 89 candidates (30.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.3b	(log (- 1.0 z))
6.3b	(log (- 1.0 z))

rewrite35.0ms

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))

series86.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (41.0ms)

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

prune339.0ms

Filtered

122 candidates to 100 candidates (18.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

regimes559.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.8s	40410×	body	80	nan
961.0ms	12422×	body	80	valid
152.0ms	358×	body	640	valid
113.0ms	425×	body	320	valid
59.0ms	70×	body	1280	valid
44.0ms	262×	body	160	valid

Details

sample233.0ms

simplify40.0ms

prune5.0ms

localize16.0ms

rewrite35.0ms

series107.0ms

simplify67.0ms

prune196.0ms

localize25.0ms

rewrite67.0ms

series149.0ms

simplify79.0ms

prune300.0ms

localize18.0ms

rewrite37.0ms

series147.0ms

simplify82.0ms

prune238.0ms

localize23.0ms

rewrite35.0ms

series86.0ms

simplify54.0ms

prune339.0ms

regimes559.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.3s

Profiling