Details

Time bar (total: 13.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms275×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
2.9b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite48.0ms

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:
22.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
11.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series132.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
62.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify104.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011482808
146382733
250022733

prune772.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y))
2.3b
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
3283×times-frac
1881×add-sqr-sqrt
1372×add-cube-cbrt *-un-lft-identity
700×cbrt-prod
641×sqrt-prod
412×associate-*r*
245×associate-*l*
136×associate-/l*
88×unswap-sqr
67×add-exp-log
58×div-inv
51×add-cbrt-cube
36×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
8×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative associate-/l/
Counts
4 → 1379
Calls
4 calls:
1.3s
(* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y))
45.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series377.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y))
120.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
51.0ms
(sqrt (fma z z 1.0))
60.0ms
(sqrt (fma z z 1.0))

simplify263.0ms

Algorithm
egg-herbie
Counts
1391 → 1391
Iterations

Useful iterations: 1 (72.0ms)

IterNodesCost
0495323381
1500123377

prune5.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (cbrt 1.0) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)) (/ (sqrt (fma z z 1.0)) (cbrt 1.0)))
2.3b
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
1480×times-frac
687×add-sqr-sqrt
685×add-cube-cbrt *-un-lft-identity
306×sqrt-prod
252×cbrt-prod
137×associate-/l*
58×add-exp-log
43×associate-/r*
42×add-cbrt-cube
33×cbrt-undiv div-exp
32×div-inv
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×associate-*r/ associate-/r/
Counts
4 → 711
Calls
4 calls:
61.0ms
(/ (* (cbrt 1.0) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)) (/ (sqrt (fma z z 1.0)) (cbrt 1.0)))
48.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series368.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(/ (* (cbrt 1.0) (/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)) (/ (sqrt (fma z z 1.0)) (cbrt 1.0)))
117.0ms
(/ (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0))) y)
50.0ms
(sqrt (fma z z 1.0))
57.0ms
(sqrt (fma z z 1.0))

simplify141.0ms

Algorithm
egg-herbie
Counts
723 → 723
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0273510904
1500110552

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ (/ (/ (cbrt 1.0) x) (* (sqrt (sqrt (fma z z 1.0))) (sqrt (sqrt (fma z z 1.0))))) y)
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))
15.0b
(sqrt (fma z z 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
93×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
36×cbrt-prod
26×associate-/l*
22×add-exp-log
20×add-cbrt-cube
11×cbrt-undiv div-exp
9×sqrt-prod div-inv
7×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r*
2×prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 175
Calls
4 calls:
38.0ms
(/ (/ (/ (cbrt 1.0) x) (* (sqrt (sqrt (fma z z 1.0))) (sqrt (sqrt (fma z z 1.0))))) y)
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series280.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (/ (/ (cbrt 1.0) x) (* (sqrt (sqrt (fma z z 1.0))) (sqrt (sqrt (fma z z 1.0))))) y)
49.0ms
(sqrt (fma z z 1.0))
56.0ms
(sqrt (fma z z 1.0))
51.0ms
(sqrt (fma z z 1.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
08092298
130712159
250012148

prune677.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.1b

regimes201.0ms

Accuracy

0% (1.2b remaining)

Error of 5.9b against oracle of 4.8b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms

sample488.0ms

Algorithm
intervals
Results
237.0ms8597×body80valid