Details

analyze805.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample106.0ms

Algorithm

intervals

Results

30.0ms	344×	body	80	nan
19.0ms	234×	body	80	valid
13.0ms	168×	body	80	invalid
3.0ms	8×	body	640	valid
3.0ms	8×	body	640	invalid
2.0ms	9×	body	320	valid
2.0ms	6×	body	320	invalid
1.0ms	5×	body	160	valid
0.0ms	3×	body	160	invalid

simplify38.0ms

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:

0.0b	(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)))
5.0b	(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)))
3.0ms	(log (- 1.0 z))

series111.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms	(* y (- (log z) t))
41.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (55.0ms)

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

prune193.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

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: 0.0b

Counts

114 → 4

localize27.0ms

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)))

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

series151.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
60.0ms	(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))
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 (61.0ms)

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

prune293.0ms

Filtered

88 candidates to 135 candidates (-53.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	135	4	139

Merged error: 0.0b

Counts

139 → 4

localize19.0ms

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))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0b	(log (- 1.0 z))

rewrite35.0ms

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(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))

simplify77.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (65.0ms)

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

prune226.0ms

Filtered

89 candidates to 128 candidates (-43.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

132 → 4

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)))
5.0b	(log (- 1.0 z))

rewrite36.0ms

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

series105.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(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)))
3.0ms	(log (- 1.0 z))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (53.0ms)

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

prune270.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

regimes760.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

analyze861.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample3.1s

Algorithm

intervals

Results

855.0ms	10659×	body	80	nan
578.0ms	7194×	body	80	valid
429.0ms	5368×	body	80	invalid
116.0ms	270×	body	640	valid
76.0ms	272×	body	320	valid
61.0ms	148×	body	640	invalid
56.0ms	69×	body	1280	valid
36.0ms	132×	body	320	invalid
33.0ms	195×	body	160	valid
19.0ms	115×	body	160	invalid
11.0ms	15×	body	1280	invalid

Details

analyze805.0ms

sample106.0ms

simplify38.0ms

prune5.0ms

localize15.0ms

rewrite35.0ms

series111.0ms

simplify66.0ms

prune193.0ms

localize27.0ms

rewrite67.0ms

series151.0ms

simplify79.0ms

prune293.0ms

localize19.0ms

rewrite35.0ms

series150.0ms

simplify77.0ms

prune226.0ms

localize17.0ms

rewrite36.0ms

series105.0ms

simplify63.0ms

prune270.0ms

regimes760.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze861.0ms

sample3.1s

Profiling