Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms305×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
10.0b
(/ (* x (+ y z)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series61.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune86.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.2b
(* x (/ (+ y z) z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/l*
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
8.0ms
(/ (+ y z) z)
17.0ms
(* x (/ (+ y z) z))

series53.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
36.0ms
(* x (/ (+ y z) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0233344
11013313
23962313
35001313

prune125.0ms

Filtered
74 candidates to 49 candidates (66.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ y z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
cbrt-div
flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (+ y z))
0.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series658.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (+ y z))
174.0ms
(cbrt z)
174.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify41.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0147204
1364190
21183181
35001181

prune180.0ms

Filtered
59 candidates to 51 candidates (86.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.2b
(/ x (/ z (+ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
10.0ms
(/ x (/ z (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ z (+ y z))
48.0ms
(/ x (/ z (+ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25002832

prune231.0ms

Filtered
129 candidates to 91 candidates (70.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

10.7% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.5b

bsearch66.0ms

Steps
ItersRangePoint
10
1.647613579901031e-220
8.117026396226673e-211
7.997442304301406e-211
9
7.751909946924176e-268
1.0910939012120163e-259
1.6319585875966188e-267

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample403.0ms

Algorithm
intervals
Results
212.0ms9609×body80valid