Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (75.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- 1 y) (/ x z) y)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(fma (- 1 y) (/ x z) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune39.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.6b
(cbrt (fma (- 1 y) (/ x z) y))
0.6b
(cbrt (fma (- 1 y) (/ x z) y))
0.6b
(cbrt (fma (- 1 y) (/ x z) y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))

series596.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
141.0ms
(cbrt (fma (- 1 y) (/ x z) y))
137.0ms
(cbrt (fma (- 1 y) (/ x z) y))
138.0ms
(cbrt (fma (- 1 y) (/ x z) y))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03141139
111121069
250011008

prune301.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
7.8b
(/ (+ x (* y (- z x))) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 77
Calls
2 calls:
12.0ms
(* y (- z x))
9.0ms
(/ (+ x (* y (- z x))) z)

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* y (- z x))
53.0ms
(/ (+ x (* y (- z x))) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0315606
11345446
25002435

prune160.0ms

Filtered
83 candidates to 50 candidates (60.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y (- z x) x)
0.2b
(/ 1 (/ z (fma y (- z x) x)))
7.9b
(/ z (fma y (- z x) x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/r/ fma-udef inv-pow
Counts
3 → 117
Calls
3 calls:
0.0ms
(fma y (- z x) x)
5.0ms
(/ 1 (/ z (fma y (- z x) x)))
2.0ms
(/ z (fma y (- z x) x))

series139.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(fma y (- z x) x)
40.0ms
(/ 1 (/ z (fma y (- z x) x)))
72.0ms
(/ z (fma y (- z x) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0342938
11475831
25001757

prune231.0ms

Filtered
126 candidates to 73 candidates (57.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample460.0ms

Algorithm
intervals
Results
248.0ms10161×body80valid