Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

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))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* x (/ y z))

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune71.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt z)
163.0ms
(cbrt z)
163.0ms
(cbrt z)
76.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0301473
11336381
25001342

prune210.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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 z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

rewrite48.0ms

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)))
43.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series894.0ms

Counts
4 → 12
Calls
4 calls:
366.0ms
(cbrt z)
169.0ms
(cbrt z)
279.0ms
(cbrt (* (cbrt z) (cbrt z)))
81.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0407793
11984614
25001589

prune235.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))))
1.5b
(* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
72×prod-exp cbrt-unprod
38×add-cbrt-cube
18×pow1 cbrt-undiv div-exp
13×add-sqr-sqrt
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down
7×associate-*l*
6×associate-*r*
4×add-log-exp
3×associate-*r/
2×pow1/3 *-commutative unswap-sqr
1×times-frac div-inv
Counts
4 → 106
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
109.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))))
47.0ms
(* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series541.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt x)
175.0ms
(cbrt x)
93.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))))
104.0ms
(* (cbrt x) (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify87.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05922110
127651497
250011387

prune331.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes208.0ms

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

sample504.0ms

Algorithm
intervals
Results
272.0ms9583×body80valid