Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms306×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

3.2b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* x (/ y z))

simplify74.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune76.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New27835
Fresh101
Picked011
Done000
Total28937

Merged error: 0.0b

Counts
37 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

3.2b
(* x (/ y z))
13.7b
(cbrt (* x (/ y z)))
13.7b
(cbrt (* x (/ y z)))
13.7b
(cbrt (* x (/ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*r/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (/ y z))
83.0ms
(cbrt (* x (/ y z)))
85.0ms
(cbrt (* x (/ y z)))
85.0ms
(cbrt (* x (/ y z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0230358
1937310
23854283
35002283

prune174.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh077
Picked101
Done011
Total74983

Merged error: 0.0b

Counts
83 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

3.2b
(* x (/ y z))
13.7b
(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z))))
13.7b
(cbrt (* x (/ y z)))
13.7b
(cbrt (* x (/ y z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*r/
add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
10.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z))))
4.0ms
(cbrt (* x (/ y z)))
4.0ms
(cbrt (* x (/ y z)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (/ y z))
81.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z))))
81.0ms
(cbrt (* x (/ y z)))
86.0ms
(cbrt (* x (/ y z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0255418
1984360
23922330
35002288

prune208.0ms

Filtered
74 candidates to 56 candidates (75.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh077
Picked011
Done011
Total74983

Merged error: 0.0b

Counts
83 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ (* x y) z)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (* x y) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune27.0ms

Filtered
24 candidates to 13 candidates (54.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New22224
Fresh336
Picked011
Done022
Total25833

Merged error: 0b

Counts
33 → 8

regimes181.0ms

Accuracy

43.1% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.7b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample552.0ms

Algorithm
intervals
Results
322.0ms9667×body80valid