Details

sample147.0ms

Algorithm

intervals

Results

48.0ms	960×	body	80	nan
16.0ms	295×	body	80	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.3s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `fma-def` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
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 → 111

Calls

4 calls:

2.6s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
663.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
23.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series806.0ms

Counts

4 → 12

Calls

4 calls:

501.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
217.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
50.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify73.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	678	1061
1	2790	964
2	5003	931

prune467.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)

rewrite43.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series536.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (log (cbrt y)))
94.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
174.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune679.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
11.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series580.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
87.0ms	(* x (log (cbrt y)))
170.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	168	411
1	610	367
2	2425	343
3	5002	333

prune419.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (pow (* x (log (pow y 1/3))) 1))
0.3b	(* x (log (pow y 1/3)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`log-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
7×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `associate-l` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (pow (* x (log (pow y 1/3))) 1))
11.0ms	(* x (log (pow y 1/3)))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series583.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(fma x (* 2 (log (cbrt y))) (pow (* x (log (pow y 1/3))) 1))
77.0ms	(* x (log (pow y 1/3)))
175.0ms	(cbrt y)
172.0ms	(pow y 1/3)

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	260	448
1	1038	387
2	5001	345

prune449.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes549.0ms

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	40	17
1	40	17

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	27776×	body	80	nan
535.0ms	9252×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid