Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
7.0ms308×body80valid

simplify84.0ms

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: 6.5b

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b
(* x (/ y z))

rewrite14.0ms

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:
13.0ms
(* x (/ y z))

series20.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune82.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
44.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series566.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt z)
169.0ms
(cbrt z)
175.0ms
(cbrt z)
49.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0420720
12228581
25001542

prune272.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))
3.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
15×add-sqr-sqrt prod-exp cbrt-unprod
13×cbrt-prod
12×cbrt-undiv div-exp
11×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r* associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt z)
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))
67.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt z)
273.0ms
(cbrt (* (cbrt z) (cbrt z)))
250.0ms
(cbrt (cbrt z))
54.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0427997
12161754
25001690

prune272.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
49×cbrt-prod
48×add-sqr-sqrt
43×times-frac
40×associate-*l*
34×add-cube-cbrt *-un-lft-identity
25×add-exp-log
15×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*r*
6×pow1
5×unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
62.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
184.0ms
(cbrt x)
191.0ms
(cbrt x)
167.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04391301
118871165
250021150

prune443.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

-6.6% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03022
13222
23222

end0.0ms

sample538.0ms

Algorithm
intervals
Results
233.0ms9620×body80valid