Details

sample229.0ms

Algorithm

intervals

Results

84.0ms	1208×	body	80	nan
30.0ms	407×	body	80	valid
3.0ms	7×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	8×	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

prune7.0ms

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: 1.8b

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

series504.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
85.0ms	(* y (- (log z) t))
219.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
53.0ms	(log (- 1.0 z))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	630	971
1	2443	914
2	5001	902

prune1.1s

Filtered

113 candidates to 84 candidates (25.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Merged error: 0.3b

Counts

114 → 6

localize26.0ms

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

rewrite66.0ms

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

series645.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
168.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
83.0ms	(* y (- (log z) t))
270.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify84.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	645	1743
1	2810	1639
2	5002	1630

prune1.1s

Filtered

135 candidates to 89 candidates (34.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	136	5	141

Merged error: 0.1b

Counts

141 → 5

localize18.0ms

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

rewrite38.0ms

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:

12.0ms	(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))

series500.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
84.0ms	(* y (- (log z) t))
218.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
52.0ms	(log (- 1.0 z))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	630	971
1	2443	914
2	5001	902

prune1.8s

Filtered

113 candidates to 84 candidates (25.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Merged error: 0.1b

Counts

118 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))))
0.1b	(* y (- (log z) t))
1.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0b	(log (- 1.0 z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`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`
7×	`add-exp-log` `log-pow`
6×	`sub-neg` `flip3--` `associate-r` `add-cbrt-cube` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`exp-prod` `frac-add` `difference-of-squares`
3×	`associate-l`
2×	`log-div` `rem-log-exp`
1×	`+-commutative` `flip3-+` `exp-sum` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

5.0ms	(log (exp (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))

series501.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(log (exp (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))))
86.0ms	(* y (- (log z) t))
213.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
54.0ms	(log (- 1.0 z))

simplify67.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	645	1055
1	2447	977
2	5001	965

prune1.9s

Filtered

116 candidates to 87 candidates (25.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	116	5	121

Merged error: 0.1b

Counts

121 → 5

regimes748.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample7.8s

Algorithm

intervals

Results

2.9s	40578×	body	80	nan
1000.0ms	12418×	body	80	valid
145.0ms	335×	body	640	valid
120.0ms	433×	body	320	valid
65.0ms	75×	body	1280	valid
51.0ms	294×	body	160	valid

Details

sample229.0ms

simplify36.0ms

prune7.0ms

localize15.0ms

rewrite33.0ms

series504.0ms

simplify65.0ms

prune1.1s

localize26.0ms

rewrite66.0ms

series645.0ms

simplify84.0ms

prune1.1s

localize18.0ms

rewrite38.0ms

series500.0ms

simplify65.0ms

prune1.8s

localize18.0ms

rewrite31.0ms

series501.0ms

simplify67.0ms

prune1.9s

regimes748.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.8s

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