Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms297×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0133
1313
2623
3773
4773

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 4.0) z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
2.0ms
(- x (* (* y 4.0) z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(- x (* (* y 4.0) z))

simplify77.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0108129
1450112
22653111
3500194

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
0.6b
(cbrt (- x (* (* y 4.0) z)))
0.6b
(cbrt (- x (* (* y 4.0) z)))
0.6b
(cbrt (- x (* (* y 4.0) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
14.0ms
(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
1.0ms
(cbrt (- x (* (* y 4.0) z)))
1.0ms
(cbrt (- x (* (* y 4.0) z)))
2.0ms
(cbrt (- x (* (* y 4.0) z)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
153.0ms
(cbrt (- x (* (* y 4.0) z)))
147.0ms
(cbrt (- x (* (* y 4.0) z)))
151.0ms
(cbrt (- x (* (* y 4.0) z)))

simplify143.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02761084
19581019
24875960
35001960

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* z y))
0.0b
(- x (* 4.0 (* z y)))
0.1b
(* (- x (* 4.0 (* z y))) (fma y (* 4.0 z) x))
30.9b
(/ (* (- x (* 4.0 (* z y))) (fma y (* 4.0 z) x)) (fma y (* 4.0 z) x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u
3×flip3-- times-frac fma-neg prod-diff associate-/r* flip--
2×cbrt-undiv div-exp *-commutative fma-udef associate-/l/
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 89
Calls
4 calls:
6.0ms
(* 4.0 (* z y))
2.0ms
(- x (* 4.0 (* z y)))
7.0ms
(* (- x (* 4.0 (* z y))) (fma y (* 4.0 z) x))
6.0ms
(/ (* (- x (* 4.0 (* z y))) (fma y (* 4.0 z) x)) (fma y (* 4.0 z) x))

series244.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 4.0 (* z y))
44.0ms
(- x (* 4.0 (* z y)))
124.0ms
(* (- x (* 4.0 (* z y))) (fma y (* 4.0 z) x))
50.0ms
(/ (* (- x (* 4.0 (* z y))) (fma y (* 4.0 z) x)) (fma y (* 4.0 z) x))

simplify67.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0350644
11982528
25001528

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* (* y 4.0) z)))
0.6b
(cbrt (- x (* (* y 4.0) z)))
0.6b
(cbrt (- x (* (* y 4.0) z)))
2.2b
(exp (log (cbrt (- x (* (* y 4.0) z)))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-div
6×log-prod exp-sum
5×pow1 exp-prod
4×add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
2×log-div exp-diff log-pow
1×rem-exp-log
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (- x (* (* y 4.0) z)))
1.0ms
(cbrt (- x (* (* y 4.0) z)))
2.0ms
(cbrt (- x (* (* y 4.0) z)))
4.0ms
(exp (log (cbrt (- x (* (* y 4.0) z)))))

series618.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- x (* (* y 4.0) z)))
157.0ms
(cbrt (- x (* (* y 4.0) z)))
149.0ms
(cbrt (- x (* (* y 4.0) z)))
156.0ms
(exp (log (cbrt (- x (* (* y 4.0) z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0198636
1494600
21895577
35001563

prune268.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes135.0ms

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

sample512.0ms

Algorithm
intervals
Results
328.0ms9146×body80valid