Details

Time bar (total: 9.2s)

sample37.0ms

Algorithm
intervals
Results
13.0ms309×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 1 expressions with local error:

6.3b
(/ (* x y) z)

rewrite23.0ms

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:
22.0ms
(/ (* x y) z)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (* x y) z)

simplify831.0ms

Counts
26 → 26
Iterations

Useful iterations: done (830.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune90.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite67.0ms

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)
60.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series958.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt z)
318.0ms
(cbrt z)
277.0ms
(cbrt z)
81.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.9s

Counts
112 → 112
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01441257
14561207
23004913
done5000847

prune461.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(* (* x y) (/ 1 z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*r/ associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
44.0ms
(* (* x y) (/ 1 z))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* (* x y) (/ 1 z))

simplify2.2s

Counts
43 → 43
Iterations

Useful iterations: done (2.2s)

IterNodesCost
085427
1251365
21682262
done5000250

prune94.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ z (* x y)))
6.3b
(/ z (* x y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
23.0ms
(/ 1 (/ z (* x y)))
10.0ms
(/ z (* x y))

series70.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (/ z (* x y)))
26.0ms
(/ z (* x y))

simplify948.0ms

Counts
87 → 87
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
0122894
1295763
21418699
done5002693

prune159.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes323.0ms

Accuracy

91.9% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: done (7.0ms)

IterNodesCost
02149
12645
22941
33241
done3240

end0.0ms

sample847.0ms

Algorithm
intervals
Results
304.0ms9579×body80valid