Details

sample129.0ms

Algorithm

intervals

Results

49.0ms	820×	body	80	nan
20.0ms	304×	body	80	valid
0.0ms	1×	body	320	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune7.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

264.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
1.0s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
10.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series860.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
522.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
62.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5003	954

prune418.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series558.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune637.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (* 1 (pow y 1/3)))))
0.6b	(cbrt y)
4.9b	(pow y 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-prod`
49×	`distribute-rgt-in` `distribute-lft-in`
27×	`cbrt-prod`
24×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* x (* 2 (log (cbrt y))))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (* 1 (pow y 1/3)))))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series606.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* x (* 2 (log (cbrt y))))
140.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (* 1 (pow y 1/3)))))
187.0ms	(cbrt y)
176.0ms	(pow y 1/3)

simplify62.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	461	859
1	1658	717
2	5001	602

prune636.0ms

Filtered

121 candidates to 84 candidates (69.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (cbrt y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
3.0ms	(cbrt (* (cbrt y) (cbrt y)))
4.0ms	(cbrt (cbrt y))

series939.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt y)
197.0ms	(cbrt y)
286.0ms	(cbrt (* (cbrt y) (cbrt y)))
264.0ms	(cbrt (cbrt y))

simplify109.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	106	215
1	236	195
2	753	185
3	3141	185
4	5001	180

prune414.0ms

Filtered

57 candidates to 50 candidates (87.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes815.0ms

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	44	18
1	46	18
2	46	18

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	27897×	body	80	nan
597.0ms	9211×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid