Details

Time bar (total: 5.7s)

sample17.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

2.2b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
5.2b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
14.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
7.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series138.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
67.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011482808
146382733
250022733

prune788.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
15.4b
(cbrt (fma z z 1.0))
15.4b
(cbrt (fma z z 1.0))
15.4b
(cbrt (fma z z 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
9×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv expm1-log1p-u cbrt-div div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l/
1×frac-times frac-2neg times-frac associate-*r/ associate-*l/ clear-num associate-/r* div-inv associate-/l*
Counts
4 → 65
Calls
4 calls:
14.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series834.0ms

Counts
4 → 12
Calls
4 calls:
297.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
182.0ms
(cbrt (fma z z 1.0))
179.0ms
(cbrt (fma z z 1.0))
175.0ms
(cbrt (fma z z 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0377707
11383595
25001549

prune305.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.5b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt x))
15.4b
(cbrt (fma z z 1.0))
15.4b
(cbrt (fma z z 1.0))
15.4b
(cbrt (fma z z 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
11×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity
6×pow1/3 associate-*r*
5×pow-prod-down add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×unswap-sqr
1×associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
8.0ms
(* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt x))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series714.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt x))
182.0ms
(cbrt (fma z z 1.0))
187.0ms
(cbrt (fma z z 1.0))
177.0ms
(cbrt (fma z z 1.0))

simplify134.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0309564
11099507
24801486
35001483

prune378.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.4b

localize24.0ms

Local error

Found 4 expressions with local error:

1.4b
(/ (* (cbrt 1.0) (cbrt (/ 1.0 x))) (* (* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))))
15.4b
(cbrt (fma z z 1.0))
15.4b
(cbrt (fma z z 1.0))
15.4b
(cbrt (fma z z 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
16×prod-exp cbrt-unprod
14×add-cbrt-cube
9×cbrt-prod
8×cbrt-undiv div-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×cbrt-div frac-2neg times-frac associate-*r/ clear-num associate-/r* div-inv associate-/l/ associate-/l*
Counts
4 → 71
Calls
4 calls:
22.0ms
(/ (* (cbrt 1.0) (cbrt (/ 1.0 x))) (* (* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series917.0ms

Counts
4 → 12
Calls
4 calls:
365.0ms
(/ (* (cbrt 1.0) (cbrt (/ 1.0 x))) (* (* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (cbrt x))))
185.0ms
(cbrt (fma z z 1.0))
185.0ms
(cbrt (fma z z 1.0))
183.0ms
(cbrt (fma z z 1.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05221145
12683934
25001903

prune434.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.4b

regimes215.0ms

Accuracy

0% (1.0b remaining)

Error of 5.8b against oracle of 4.8b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02425
12425

end0.0ms

sample415.0ms

Algorithm
intervals
Results
242.0ms8598×body80valid