Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms329×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
37.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series94.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
46.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune274.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
41.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series559.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
176.0ms
(cbrt x)
174.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04101005
12226677
25002546

prune263.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.2b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1 sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-sqrt-square times-frac
1×sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 58
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
7.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series593.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
176.0ms
(cbrt x)
173.0ms
(cbrt x)
67.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 4 (73.0ms)

IterNodesCost
0117310
1249288
2737282
32936277
45001260

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×fma-neg associate-*r* prod-diff
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative flip-- fma-udef div-inv
Counts
2 → 55
Calls
2 calls:
3.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (fma 4.0 (/ 1 y) (/ x y)) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify105.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0245352
1951315
24820304
35001295

prune173.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02322
12322

end0.0ms

sample512.0ms

Algorithm
intervals
Results
297.0ms10198×body80valid