Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms339×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1203
2243
3243

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) (* z t))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt sub-neg flip3-- *-un-lft-identity fma-neg diff-log prod-diff add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
7.0ms
(- (* x y) (* z t))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- (* x y) (* z t))

simplify80.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
010392
135983
2110283
3261780
4500280

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
2.9b
(cbrt (- (* x y) (* z t)))
2.9b
(cbrt (- (* x y) (* z t)))
2.9b
(cbrt (- (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
3.0ms
(cbrt (- (* x y) (* z t)))
3.0ms
(cbrt (- (* x y) (* z t)))
3.0ms
(cbrt (- (* x y) (* z t)))

series468.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
112.0ms
(cbrt (- (* x y) (* z t)))
118.0ms
(cbrt (- (* x y) (* z t)))
109.0ms
(cbrt (- (* x y) (* z t)))

simplify99.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
03261115
111361050
24473973
35001965

prune311.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (- (* x y) (* z t)))
9.9b
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t)))))
22.6b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
22.6b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
11×cbrt-prod
flip3-- flip--
frac-times associate-/r/ add-cbrt-cube associate-/l/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
flip3-+ flip-+
pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
pow1/3
difference-of-squares
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
3.0ms
(cbrt (- (* x y) (* z t)))
24.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t)))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series489.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (- (* x y) (* z t)))
162.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t)))))
107.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
109.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify72.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05471918
119311602
250021538

prune390.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample485.0ms

Algorithm
intervals
Results
231.0ms10503×body80valid