Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	1236×	body	80	nan
0.0hr	413×	body	80	valid
0.0hr	15×	body	320	valid
0.0hr	8×	body	640	valid
0.0hr	7×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.0hr	(* y (- (log z) t))
0.0hr	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0hr	(log (- 1.0 z))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.0hr	(* y (- (log z) t))
0.0hr	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0hr	(log (- 1.0 z))

simplify0.0hr

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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)))

rewrite0.0hr

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:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0hr	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0hr	(log (- 1.0 z))
0.0hr	(log (- 1.0 z))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0hr	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0hr	(log (- 1.0 z))
0.0hr	(log (- 1.0 z))

simplify0.0hr

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

regimes0.0hr

Accuracy

0% (0.4b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	40410×	body	80	nan
0.0hr	12422×	body	80	valid
0.0hr	358×	body	640	valid
0.0hr	425×	body	320	valid
0.0hr	70×	body	1280	valid
0.0hr	262×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling