Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms354×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
30.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292436
11402284
25001272

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
0.1b
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
1×distribute-rgt-neg-in unswap-sqr
Counts
2 → 46
Calls
2 calls:
47.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
65.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series64.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
34.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0224382
11118262
25001252

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.0b
(* x (* y (- 1.0 y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
22.0ms
(* y (- 1.0 y))
37.0ms
(* x (* y (- 1.0 y)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* y (- 1.0 y))
44.0ms
(* x (* y (- 1.0 y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03961094
11575666
25002648

prune104.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y)))
0.0b
(* (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x)) y)
0.1b
(* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x)
0.1b
(* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x))

rewrite432.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
26×associate-*l/
21×pow1
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity associate-*l*
16×add-sqr-sqrt sqrt-prod
14×flip3-+ flip-+
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
8×frac-times
7×associate-*r*
6×distribute-lft-out
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×distribute-rgt-neg-in *-commutative
2×unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 111
Calls
4 calls:
18.0ms
(sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y)))
255.0ms
(* (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x)) y)
46.0ms
(* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x)
108.0ms
(* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x))

series194.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y)))
37.0ms
(* (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x)) y)
88.0ms
(* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x)
38.0ms
(* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x))

simplify75.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04831535
121391155
250021106

prune373.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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)

IterNodesCost
083
183

end0.0ms

sample538.0ms

Algorithm
intervals
Results
326.0ms10591×body80valid