Details

Time bar (total: 3.9s)

sample40.0ms

Algorithm
intervals
Results
18.0ms520×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606
done606

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.5b
(/ (* x x) (* y y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
13.0ms
(/ (* x x) (* y y))

series124.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify87.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0178240
1755177
23369172
35003172
done5003172

prune90.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.3b
(* (/ x y) (/ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up fma-udef
Counts
2 → 79
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
24.0ms
(* (/ x y) (/ x y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
28.0ms
(* (/ x y) (/ x y))

simplify51.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0375521
11788441
25001391
done5001391

prune198.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
25.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series290.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
63.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))
69.0ms
(cbrt (/ x y))

simplify80.0ms

Counts
164 → 164
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
02671139
19171091
235901046
350011022
done50011022

prune559.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt y)
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt y)
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series495.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
181.0ms
(cbrt y)
64.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))

simplify46.0ms

Counts
86 → 86
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0171380
1404360
21435352
35001334
done5001334

prune318.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes182.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02420
12420
done2420

end0.0ms

sample1.1s

Algorithm
intervals
Results
515.0ms15688×body80valid