Details

Time bar (total: 3.9s)

sample28.0ms

Algorithm
intervals
Results
16.0ms303×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b
(* x (/ y z))

rewrite9.0ms

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:
7.0ms
(* x (/ y z))

series24.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune90.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite32.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
27.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt z)
181.0ms
(cbrt z)
188.0ms
(cbrt z)
53.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0424748
12233609
25001570

prune315.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (* x y) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
7.0ms
(/ (* x y) z)

series22.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ (* x y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
011391
151676
2247376
3500276

prune57.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
6.1b
(cbrt (/ x (* (cbrt z) (cbrt z))))
6.1b
(cbrt (/ x (* (cbrt z) (cbrt z))))
6.1b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
46×cbrt-prod
39×times-frac
26×add-cube-cbrt *-un-lft-identity
22×associate-*r*
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube
5×cbrt-div div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 113
Calls
4 calls:
17.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
4.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series908.0ms

Counts
4 → 12
Calls
4 calls:
418.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
160.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
165.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
164.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03601167
113081111
250011104

prune455.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

71.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample777.0ms

Algorithm
intervals
Results
532.0ms9585×body80valid