Details

Time bar (total: 4.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms308×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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))

rewrite15.0ms

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 expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
13.0ms
(* x (/ y z))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* x (/ y z))

simplify65.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune80.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite51.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
45.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt z)
170.0ms
(cbrt z)
167.0ms
(cbrt z)
43.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0424748
12233609
25001570

prune291.0ms

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)))))

rewrite82.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt z)
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))
71.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series729.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt z)
259.0ms
(cbrt (* (cbrt z) (cbrt z)))
230.0ms
(cbrt (cbrt z))
45.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04351045
12170802
25001738

prune290.0ms

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)))))

rewrite70.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
63.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

series652.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
166.0ms
(cbrt x)
164.0ms
(cbrt x)
150.0ms
(* (/ (cbrt x) (cbrt z)) (/ y (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04451339
118951203
250021188

prune433.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes246.0ms

Accuracy

-6.6% (3.1b remaining)

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

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02521
12521

end0.0ms

sample570.0ms

Algorithm
intervals
Results
240.0ms9620×body80valid