Details

sample123.0ms

Algorithm

intervals

Results

47.0ms	820×	body	80	nan
19.0ms	304×	body	80	valid
0.0ms	1×	body	320	valid

simplify68.0ms

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

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) 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))

rewrite45.0ms

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:

16.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
15.0ms	(+ (+ (+ (+ (+ (* 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))

series838.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
511.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
56.0ms	(* (- b 0.5) (log c))
36.0ms	(* x (log y))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

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

prune404.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize27.0ms

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)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series544.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
97.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

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

prune613.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
38×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r`
3×	`pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

5.0ms	(* x (log (pow y 1/3)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
2.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series556.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (log (pow y 1/3)))
139.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
173.0ms	(cbrt y)
169.0ms	(pow y 1/3)

simplify69.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	445	770
1	1784	666
2	5001	518

prune655.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/9 (log y))
0.6b	(cbrt y)
0.6b	(cbrt y)
3.4b	(pow (cbrt y) 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(* 1/9 (log y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 1/3)

series796.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* 1/9 (log y))
175.0ms	(cbrt y)
183.0ms	(cbrt y)
296.0ms	(pow (cbrt y) 1/3)

simplify88.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	198	270
1	702	234
2	2840	211
3	5001	208

prune481.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes796.0ms

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	39	17
1	39	17

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	27897×	body	80	nan
601.0ms	9211×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid