Details

sample276.0ms

Algorithm

intervals

Results

95.0ms	1322×	body	80	nan
33.0ms	412×	body	80	valid
5.0ms	13×	body	640	valid
3.0ms	9×	body	320	valid
2.0ms	2×	body	1280	valid
2.0ms	10×	body	160	valid

simplify36.0ms

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: 1.5b

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))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.7b	(log (- 1.0 z))

rewrite37.0ms

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))))
8.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series115.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(* y (- (log z) t))
40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.0ms	(log (- 1.0 z))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (54.0ms)

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

prune201.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Merged error: 0.3b

Counts

114 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite76.0ms

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:

19.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
7.0ms	(* y (- (log z) t))
21.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
20.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
14.0ms	(* y (- (log z) t))
55.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify80.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (62.0ms)

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

prune317.0ms

Filtered

87 candidates to 135 candidates (-55.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	136	4	140

Merged error: 0.0b

Counts

140 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.7b	(log (- 1.0 z))
7.7b	(log (- 1.0 z))

rewrite38.0ms

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:

13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
4.0ms	(log (- 1.0 z))

series88.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* 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))

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (40.0ms)

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

prune339.0ms

Filtered

100 candidates to 122 candidates (-22.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
7.7b	(log (- 1.0 z))
7.7b	(log (- 1.0 z))
7.7b	(log (- 1.0 z))

rewrite26.0ms

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:

13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))
4.0ms	(log (- 1.0 z))

series52.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* 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))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

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

prune337.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

103 → 4

regimes664.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.7s	38202×	body	80	nan
1.0s	12637×	body	80	valid
152.0ms	363×	body	640	valid
108.0ms	408×	body	320	valid
52.0ms	68×	body	1280	valid
46.0ms	273×	body	160	valid

Details

sample276.0ms

simplify36.0ms

prune5.0ms

localize16.0ms

rewrite37.0ms

series115.0ms

simplify65.0ms

prune201.0ms

localize25.0ms

rewrite76.0ms

series152.0ms

simplify80.0ms

prune317.0ms

localize20.0ms

rewrite38.0ms

series88.0ms

simplify53.0ms

prune339.0ms

localize23.0ms

rewrite26.0ms

series52.0ms

simplify49.0ms

prune337.0ms

regimes664.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.5s

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