Details

sample129.0ms

Algorithm

intervals

Results

52.0ms	843×	body	80	nan
20.0ms	293×	body	80	valid

simplify73.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite35.0ms

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)
16.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series669.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x (log y)) z)
513.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
58.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (44.0ms)

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

prune364.0ms

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)

rewrite28.0ms

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))
17.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series562.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
170.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
176.0ms	(cbrt c)
173.0ms	(cbrt c)

simplify65.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

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

prune637.0ms

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)

rewrite13.0ms

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)

series720.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt y) (cbrt y))
172.0ms	(cbrt y)
172.0ms	(cbrt y)
177.0ms	(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

prune432.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (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

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

Counts

4 → 75

Calls

4 calls:

7.0ms	(* (cbrt y) (pow y 1/3))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series736.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (pow y 1/3))
179.0ms	(cbrt y)
180.0ms	(cbrt y)
170.0ms	(pow y 1/3)

simplify113.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	181	292
1	676	219
2	3869	204
3	5002	197

prune438.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes431.0ms

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	38	18
1	38	18

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	27886×	body	80	nan
618.0ms	9248×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid