Details

Time bar (total: 4.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize6.0ms

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 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))

simplify66.0ms

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

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite22.0ms

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 div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
19.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt z)
184.0ms
(cbrt z)
181.0ms
(cbrt z)
81.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0301473
11336381
25001342

prune218.0ms

Filtered
75 candidates to 57 candidates (76.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
19×add-cbrt-cube
16×prod-exp cbrt-unprod
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×pow1 cbrt-undiv div-exp
5×associate-*r*
4×add-log-exp
3×pow1/3 associate-*l*
1×times-frac associate-*r/ pow-prod-down *-commutative div-inv unswap-sqr
Counts
4 → 64
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
2.0ms
(cbrt (* (cbrt z) (cbrt z)))
47.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

series731.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt z)
180.0ms
(cbrt z)
282.0ms
(cbrt (* (cbrt z) (cbrt z)))
82.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0413799
12052620
25001595

prune242.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
32×prod-exp cbrt-unprod
31×add-cbrt-cube
10×cbrt-undiv add-sqr-sqrt div-exp
7×add-cube-cbrt *-un-lft-identity
6×pow1
5×cbrt-prod associate-*r*
4×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)
2.0ms
(cbrt (* (cbrt z) (cbrt z)))
2.0ms
(cbrt (* (cbrt z) (cbrt z)))
81.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series855.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt z)
289.0ms
(cbrt (* (cbrt z) (cbrt z)))
286.0ms
(cbrt (* (cbrt z) (cbrt z)))
84.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05001279
12408909
25001873

prune253.0ms

Filtered
83 candidates to 58 candidates (69.9%)
Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

39.7% (1.2b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample506.0ms

Algorithm
intervals
Results
273.0ms9583×body80valid