Details

sample279.0ms

Algorithm

intervals

Results

100.0ms	1372×	body	80	nan
34.0ms	413×	body	80	valid
4.0ms	10×	body	640	valid
3.0ms	3×	body	1280	valid
3.0ms	9×	body	160	valid
3.0ms	10×	body	320	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 1.9b

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))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.7b	(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))))
7.0ms	(* y (- (log z) t))
11.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series107.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(* y (- (log z) t))
39.0ms	(+ (* 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 (56.0ms)

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

prune202.0ms

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

localize22.0ms

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)))

rewrite69.0ms

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:

20.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
18.0ms	(* 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)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
23.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
13.0ms	(* y (- (log z) t))
53.0ms	(+ (* 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 (60.0ms)

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

prune304.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.7b	(log (- 1.0 z))
5.7b	(log (- 1.0 z))
5.7b	(log (- 1.0 z))

rewrite25.0ms

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:

12.0ms	(+ (* 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))

series49.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* 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))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

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

prune361.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

5.7b	(log (- 1.0 z))
16.0b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
16.0b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
16.0b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
18×	`cbrt-div`
13×	`flip3--` `flip--`
12×	`frac-add`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `log-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`log-div`
1×	`rem-log-exp` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

3.0ms	(log (- 1.0 z))
6.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
6.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
6.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

series838.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (- 1.0 z))
279.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
278.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
277.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

simplify72.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	661	1981
1	2460	1919
2	5001	1865

prune405.0ms

Filtered

72 candidates to 79 candidates (-9.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

regimes646.0ms

Accuracy

57.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	50
1	62	50
2	74	50
3	84	50
4	84	50

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.9s	40081×	body	80	nan
999.0ms	12461×	body	80	valid
162.0ms	381×	body	640	valid
100.0ms	362×	body	320	valid
67.0ms	83×	body	1280	valid
44.0ms	260×	body	160	valid

Details

sample279.0ms

simplify49.0ms

prune5.0ms

localize15.0ms

rewrite37.0ms

series107.0ms

simplify66.0ms

prune202.0ms

localize22.0ms

rewrite69.0ms

series147.0ms

simplify80.0ms

prune304.0ms

localize21.0ms

rewrite25.0ms

series49.0ms

simplify50.0ms

prune361.0ms

localize24.0ms

rewrite25.0ms

series838.0ms

simplify72.0ms

prune405.0ms

regimes646.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample7.6s

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