Details

sample139.0ms

Algorithm

intervals

Results

59.0ms	838×	body	80	nan
22.0ms	288×	body	80	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune4.0ms

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: 0.1b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series388.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x (log y)) z)
239.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
61.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	619	860
1	2417	804
2	5001	793

prune374.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
0.1b	(* (log (sqrt c)) (- b 0.5))
0.1b	(* (- b 0.5) (log (sqrt c)))
0.2b	(* x (log y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
7.0ms	(* (log (sqrt c)) (- b 0.5))
8.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series459.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5)))
65.0ms	(* (log (sqrt c)) (- b 0.5))
59.0ms	(* (- b 0.5) (log (sqrt c)))
37.0ms	(* x (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	597	1042
1	2634	979
2	5001	962

prune444.0ms

Filtered

126 candidates to 82 candidates (65.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 0.0b

Counts

132 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) z))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log (sqrt y)))
0.2b	(* (log (sqrt y)) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
15×	`pow1` `distribute-rgt-in` `distribute-lft-in`
14×	`associate-l`
13×	`associate-r`
12×	`associate-+l+` `sqrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
7×	`log-pow`
3×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `associate-*l/`
1×	`+-commutative` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

9.0ms	(+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) z))
7.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log (sqrt y)))
5.0ms	(* (log (sqrt y)) x)

series365.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) z))
63.0ms	(* (- b 0.5) (log c))
88.0ms	(* x (log (sqrt y)))
116.0ms	(* (log (sqrt y)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	478	816
1	1791	696
2	5002	664

prune455.0ms

Filtered

120 candidates to 82 candidates (68.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
0.6b	(cbrt (sqrt c))
0.6b	(cbrt (sqrt c))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
48×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
36×	`associate-+l+`
32×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
18×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

5.0ms	(* x (log y))
16.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
2.0ms	(cbrt (sqrt c))
2.0ms	(cbrt (sqrt c))

series493.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
147.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt (sqrt c))))) (* (- b 0.5) (log (cbrt (sqrt c)))))
153.0ms	(cbrt (sqrt c))
156.0ms	(cbrt (sqrt c))

simplify72.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	646	1247
1	2283	1102
2	5001	1077

prune750.0ms

Filtered

135 candidates to 108 candidates (80.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	135	7	142

Merged error: 0.0b

Counts

142 → 7

regimes638.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.9s	27377×	body	80	nan
716.0ms	9179×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid