Details

Time bar (total: 3.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms301×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.1b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
7.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify72.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune86.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(cbrt z)
20.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
182.0ms
(cbrt z)
179.0ms
(cbrt z)
80.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0308503
11348411
25001372

prune243.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (/ y z))
12.3b
(cbrt (* x (/ y z)))
12.3b
(cbrt (* x (/ y z)))
12.3b
(cbrt (* x (/ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
7.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (/ y z))
82.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))
79.0ms
(cbrt (* x (/ y z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0234388
1941340
23868313
35002313

prune219.0ms

Filtered
82 candidates to 62 candidates (75.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (/ y z))
11.8b
(cbrt (/ y z))
12.3b
(cbrt (* x (/ y z)))
12.3b
(cbrt (* x (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
15×cbrt-prod
13×associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-*r/ associate-*l*
2×prod-exp cbrt-unprod div-inv unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative
Counts
4 → 82
Calls
4 calls:
10.0ms
(* x (/ y z))
1.0ms
(cbrt (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (/ y z))
63.0ms
(cbrt (/ y z))
78.0ms
(cbrt (* x (/ y z)))
270.0ms
(cbrt (* x (/ y z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0285453
11030404
24168384
35001382

prune289.0ms

Filtered
94 candidates to 73 candidates (77.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

39.7% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample496.0ms

Algorithm
intervals
Results
263.0ms9583×body80valid