Details

sample122.0ms

Algorithm

intervals

Results

48.0ms	843×	body	80	nan
18.0ms	293×	body	80	valid

simplify74.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
15.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
9.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x (log y)) z)
543.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
59.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	494	684
1	1762	617
2	5003	595

prune342.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`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 → 99

Calls

4 calls:

5.0ms	(* x (log y))
13.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series539.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
164.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
171.0ms	(cbrt c)
169.0ms	(cbrt c)

simplify63.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5001	698

prune602.0ms

Filtered

111 candidates to 94 candidates (84.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series717.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
175.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune419.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (* 1 (pow y 1/3)))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.8b	(pow y 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
13×	`prod-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow` `1-exp` `pow-exp`
2×	`unpow1/3` `pow1/3`
1×	`pow-pow` `associate-r` `pow-prod-down` `*-commutative` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (cbrt y) (* 1 (pow y 1/3)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series728.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt y) (* 1 (pow y 1/3)))
174.0ms	(cbrt y)
174.0ms	(cbrt y)
174.0ms	(pow y 1/3)

simplify86.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	212	245
1	758	168
2	3506	156
3	5003	149

prune383.0ms

Filtered

78 candidates to 55 candidates (70.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes416.0ms

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	43	19
1	45	19
2	45	19

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27886×	body	80	nan
593.0ms	9248×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid