Details

Time bar (total: 4.2s)

sample16.0ms

Algorithm
intervals
Results
6.0ms307×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize5.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite6.0ms

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:
5.0ms
(/ (* x y) z)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* x y) z)

simplify78.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
011391
151676
2247376
3500276

prune61.0ms

Pruning

8 alts after pruning (7 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)
4.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite26.0ms

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)
2.0ms
(cbrt z)
18.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt z)
196.0ms
(cbrt z)
196.0ms
(cbrt z)
60.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0424748
12233609
25001570

prune313.0ms

Pruning

8 alts after pruning (7 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)
4.9b
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
30×add-sqr-sqrt
24×add-cbrt-cube
23×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
19×cbrt-prod
14×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
25.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

series646.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt z)
195.0ms
(cbrt z)
200.0ms
(cbrt z)
56.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
04791197
128061002
25001977

prune391.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))
10.1b
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
10.1b
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
10.1b
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
27×add-sqr-sqrt
24×add-cbrt-cube
23×times-frac
22×associate-*r*
19×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
13×cbrt-prod
10×cbrt-undiv div-exp
9×cbrt-div
7×associate-*l*
6×pow1
4×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 104
Calls
4 calls:
21.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))
17.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
13.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
14.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))

series371.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))
105.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
105.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
106.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))

simplify100.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05281863
128041598
250011590

prune496.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

94% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02314
12314

end0.0ms

sample400.0ms

Algorithm
intervals
Results
191.0ms9645×body80valid