Details

Time bar (total: 37.1s)

sample38.0ms

Algorithm
intervals
Results
16.0ms310×body80valid

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done16
516
415
313
210
18
05

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize24.0ms

Local error

Found 1 expressions with local error:

5.7b
(/ (* x y) z)

rewrite25.0ms

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:
20.0ms
(/ (* x y) z)

series128.0ms

Counts
1 → 3
Calls
1 calls:
127.0ms
(/ (* x y) z)

simplify5.8s

Counts
26 → 26
Iterations
IterNodes
done5108
32202
2465
1120
050

prune430.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

5.7b
(* x (/ y z))

rewrite142.0ms

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:
139.0ms
(* x (/ y z))

series136.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(* x (/ y z))

simplify11.7s

Counts
37 → 37
Iterations
IterNodes
done5000
32195
2531
1173
071

prune265.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
16×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)
188.0ms
(* (* (* (cbrt y) x) (cbrt y)) (/ (cbrt y) z))

series3.1s

Counts
4 → 12
Calls
4 calls:
994.0ms
(cbrt y)
937.0ms
(cbrt y)
947.0ms
(cbrt y)
182.0ms
(* (* (* (cbrt y) x) (cbrt y)) (/ (cbrt y) z))

simplify6.6s

Counts
100 → 100
Iterations
IterNodes
done5001
21409
1377
0125

prune750.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.0b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite113.0ms

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:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
1.0ms
(cbrt z)
99.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
366.0ms
(cbrt z)
380.0ms
(cbrt z)
377.0ms
(cbrt z)
96.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify2.9s

Counts
112 → 112
Iterations
IterNodes
done5000
21903
1446
0144

prune1.5s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes851.0ms

Accuracy

93.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.8b

bsearch2.0ms

simplify9.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample1.0s

Algorithm
intervals
Results
388.0ms9659×body80valid