Details

Time bar (total: 4.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms273×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

Filtered
1 candidates to 1 candidates (100.0%)
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))

rewrite40.0ms

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:
18.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series139.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
62.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011482808
146382733
250022733

prune769.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 2 expressions with local error:

2.3b
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))
5.2b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*l*
28×add-cbrt-cube
21×div-exp
13×associate-*r* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l/
Counts
2 → 170
Calls
2 calls:
28.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series126.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))
60.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08971380
140931235
250011223

prune467.0ms

Filtered
176 candidates to 138 candidates (78.4%)
Pruning

10 alts after pruning (9 fresh and 1 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))

rewrite13.0ms

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:
10.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
0.0ms
(cbrt (fma z z 1.0))
0.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series815.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
180.0ms
(cbrt (fma z z 1.0))
175.0ms
(cbrt (fma z z 1.0))
177.0ms
(cbrt (fma z z 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0377707
11383595
25001549

prune303.0ms

Filtered
77 candidates to 66 candidates (85.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.5b

localize22.0ms

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))

rewrite16.0ms

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:
13.0ms
(* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt x))
0.0ms
(cbrt (fma z z 1.0))
0.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series690.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))) (cbrt x))
180.0ms
(cbrt (fma z z 1.0))
176.0ms
(cbrt (fma z z 1.0))
176.0ms
(cbrt (fma z z 1.0))

simplify138.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0309564
11099507
24801486
35001483

prune343.0ms

Filtered
77 candidates to 68 candidates (88.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.4b

regimes161.0ms

Accuracy

0% (1.5b remaining)

Error of 6.3b against oracle of 4.8b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample419.0ms

Algorithm
intervals
Results
240.0ms8598×body80valid