Details

Time bar (total: 2.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms343×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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(* (* x y) (- 1.0 y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (* x y) (- 1.0 y))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292436
11402284
25001272

prune57.0ms

Pruning

4 alts after pruning (4 fresh and 0 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)

rewrite23.0ms

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:
10.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
11.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
41.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0224382
11118262
25001252

prune149.0ms

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))
3.5b
(* x (* y (- 1.0 y)))

rewrite22.0ms

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:
7.0ms
(* y (- 1.0 y))
9.0ms
(* x (* y (- 1.0 y)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* y (- 1.0 y))
48.0ms
(* x (* y (- 1.0 y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03961094
11575666
25002648

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 1.0 (- (pow y 2)))
0.1b
(/ (* x (fma 1.0 1.0 (- (pow y 2)))) (- (* 1 (pow (cbrt 1.0) 3)) (- y)))
0.1b
(* (/ (* x (fma 1.0 1.0 (- (pow y 2)))) (- (* 1 (pow (cbrt 1.0) 3)) (- y))) y)
3.5b
(* x (fma 1.0 1.0 (- (pow y 2))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
10×times-frac
8×pow1
6×associate-*r* prod-exp cbrt-unprod distribute-lft-out--
5×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u add-log-exp
3×distribute-rgt-neg-in fma-udef
2×flip3-- pow-prod-down *-commutative flip-- div-inv unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in associate-*l/ clear-num associate-/l*
Counts
4 → 94
Calls
4 calls:
1.0ms
(fma 1.0 1.0 (- (pow y 2)))
10.0ms
(/ (* x (fma 1.0 1.0 (- (pow y 2)))) (- (* 1 (pow (cbrt 1.0) 3)) (- y)))
13.0ms
(* (/ (* x (fma 1.0 1.0 (- (pow y 2)))) (- (* 1 (pow (cbrt 1.0) 3)) (- y))) y)
4.0ms
(* x (fma 1.0 1.0 (- (pow y 2))))

series345.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma 1.0 1.0 (- (pow y 2)))
100.0ms
(/ (* x (fma 1.0 1.0 (- (pow y 2)))) (- (* 1 (pow (cbrt 1.0) 3)) (- y)))
124.0ms
(* (/ (* x (fma 1.0 1.0 (- (pow y 2)))) (- (* 1 (pow (cbrt 1.0) 3)) (- y))) y)
71.0ms
(* x (fma 1.0 1.0 (- (pow y 2))))

simplify70.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
03821073
12201843
25001803

prune371.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

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
02512
12712
22712

end0.0ms

sample526.0ms

Algorithm
intervals
Results
342.0ms10729×body80valid