Details

sample173.0ms

Algorithm

intervals

Results

75.0ms	1288×	body	80	nan
24.0ms	377×	body	80	valid
6.0ms	15×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	2×	body	1280	valid
1.0ms	6×	body	160	valid

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

prune3.0ms

Filtered

1 candidates to 0 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: 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))))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.8b	(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:

9.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
7.0ms	(* y (- (log z) t))
15.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series447.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
73.0ms	(* y (- (log z) t))
187.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
42.0ms	(log (- 1.0 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (56.0ms)

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

prune353.0ms

Filtered

113 candidates to 84 candidates (74.3%)

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: 0.3b

Counts

114 → 4

localize21.0ms

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))
0.1b	(* 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)))

rewrite74.0ms

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	(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))
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)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
106.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
67.0ms	(* y (- (log z) t))
242.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify85.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (64.0ms)

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

prune488.0ms

Filtered

135 candidates to 89 candidates (65.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	136	3	139

Merged error: 0.0b

Counts

139 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b	(log (- 1.0 z))
13.8b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.8b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
13.8b	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

rewrite26.0ms

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

series2.0s

Counts

4 → 12

Calls

4 calls:

40.0ms	(log (- 1.0 z))
646.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
662.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
648.0ms	(cbrt (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))

simplify67.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	619	1764
1	2216	1699
2	5002	1693

prune477.0ms

Filtered

79 candidates to 72 candidates (91.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize18.0ms

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)))
4.8b	(log (- 1.0 z))

rewrite42.0ms

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))
17.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series547.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))) 3)
73.0ms	(* y (- (log z) t))
185.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
41.0ms	(log (- 1.0 z))

simplify82.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	721	1205
1	2955	1115
2	5001	1102

prune423.0ms

Filtered

128 candidates to 90 candidates (70.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

regimes288.0ms

Accuracy

77.4% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 2.2b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	31
1	62	31
2	74	31
3	84	31
4	84	31

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	41385×	body	80	nan
805.0ms	12476×	body	80	valid
139.0ms	384×	body	640	valid
91.0ms	417×	body	320	valid
51.0ms	70×	body	1280	valid
33.0ms	247×	body	160	valid