Details

analyze828.0ms

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

sample278.0ms

Algorithm

intervals

Results

17.0ms	230×	body	80	valid
3.0ms	11×	body	320	valid
3.0ms	7×	body	640	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	1280	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune16.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 2.5b

Counts

2 → 2

localize36.0ms

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)))
58.1b	(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+`
14×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
12×	`associate-+r+`
10×	`associate-*r/`
9×	`add-log-exp`
8×	`pow1` `associate-+l+`
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 → 95

Calls

4 calls:

8.0ms	(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))

series104.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.0ms	(* y (- (log z) t))
39.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify43.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4966	1523
1	4966	1523

prune201.0ms

Filtered

85 candidates to 107 candidates (-25.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`associate--l+`
12×	`pow1` `add-cube-cbrt` `log-prod`
11×	`associate-*r/`
10×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`associate-+l+`
6×	`sub-neg`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `associate-+r+` `div-exp` `associate-l` `pow-prod-down` `associate-*l/` `frac-add`
3×	`exp-prod`
2×	`sum-log` `*-commutative` `rem-exp-log` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-times` `flip3-+` `exp-sum` `log-pow` `flip-+` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

9.0ms	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
17.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))))
7.0ms	(* y (- (log z) t))
17.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* (/ z 1.0) (/ z 1.0)) -1/2)
54.0ms	(exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b))))
13.0ms	(* y (- (log z) t))
50.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* (/ z 1.0) (/ z 1.0)) -1/2) (* 1.0 z))) b)))

simplify34.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4977	2189
1	4977	2189

prune221.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `log-prod` `associate--l+`
22×	`*-un-lft-identity`
20×	`associate-*r/`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt` `associate-+l+`
12×	`associate-r`
10×	`pow1`
8×	`add-exp-log` `sub-neg` `frac-add` `add-cbrt-cube` `add-log-exp`
6×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`associate-+r+` `distribute-lft-out--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

7.0ms	(* y (- (log z) t))
7.0ms	(* y (- (log z) t))
9.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))
9.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* y (- (log z) t))
13.0ms	(* y (- (log z) t))
48.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))
52.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* (/ z 1.0) (* (/ z 1.0) -1/2)) (+ (* z 1.0) b)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5059	2842

prune432.0ms

Filtered

94 candidates to 124 candidates (-31.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

localize53.0ms

Local error

Found 4 expressions with local error:

14.5b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
58.1b	(log (- 1.0 z))
58.1b	(log (- 1.0 z))
58.1b	(log (- 1.0 z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `associate-*r/`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `cbrt-div`
4×	`frac-add` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `rem-log-exp` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 65

Calls

4 calls:

7.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
4.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

series275.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
5.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify28.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5093	1452

prune284.0ms

Filtered

64 candidates to 77 candidates (-20.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	77	4	81

Merged error: 0.0b

Counts

81 → 4

regimes578.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	61
1	84	61

end0.0ms

sample11.4s

Algorithm

intervals

Results

535.0ms	7243×	body	80	valid
103.0ms	241×	body	640	valid
75.0ms	286×	body	320	valid
32.0ms	198×	body	160	valid
26.0ms	32×	body	1280	valid

Details

analyze828.0ms

sample278.0ms

simplify37.0ms

prune16.0ms

localize36.0ms

rewrite33.0ms

series104.0ms

simplify43.0ms

prune201.0ms

localize25.0ms

rewrite53.0ms

series119.0ms

simplify34.0ms

prune221.0ms

localize32.0ms

rewrite37.0ms

series128.0ms

simplify64.0ms

prune432.0ms

localize53.0ms

rewrite18.0ms

series275.0ms

simplify28.0ms

prune284.0ms

regimes578.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample11.4s

Profiling