Details

sample162.0ms

Algorithm

intervals

Results

74.0ms	836×	body	80	nan
32.0ms	294×	body	80	valid

simplify69.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

15.0ms	(+ (+ (* x (log y)) z) t)
4.0ms	(+ (* x (log y)) z)
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series190.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (+ (* x (log y)) z) t)
54.0ms	(+ (* x (log y)) z)
55.0ms	(* (- b 0.5) (log c))
39.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	409	505
1	1422	455
2	5001	433

prune346.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))))
0.7b	(cbrt c)
0.7b	(cbrt c)

rewrite29.0ms

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:

6.0ms	(* x (log y))
18.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series558.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (log y))
167.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
173.0ms	(cbrt c)
176.0ms	(cbrt c)

simplify63.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

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

prune610.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

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)

rewrite9.0ms

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))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series729.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
175.0ms	(cbrt y)
175.0ms	(cbrt y)
181.0ms	(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

prune428.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt c)
0.7b	(cbrt c)
0.7b	(cbrt c)
0.7b	(cbrt c)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 44

Calls

4 calls:

0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series706.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt c)
174.0ms	(cbrt c)
182.0ms	(cbrt c)
172.0ms	(cbrt c)

simplify133.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune366.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes543.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	35	18

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.4s	27424×	body	80	nan
1.0s	9215×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid