Details

Time bar (total: 19.7s)

sample51.0ms

Algorithm
intervals
Results
33.0ms300×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done2080
62080
51745
4352
396
238
116
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 1 expressions with local error:

6.2b
(* y (/ x z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
9.0ms
(* y (/ x z))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* y (/ x z))

simplify777.0ms

Counts
38 → 38
Iterations
IterNodes
done2001
32001
2560
1177
073

prune186.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.5b
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
302×times-frac
229×add-sqr-sqrt
160×cbrt-prod
143×*-un-lft-identity add-cube-cbrt
136×associate-*l*
25×add-exp-log
22×associate-*r*
21×unswap-sqr
16×add-cbrt-cube
9×cbrt-undiv div-exp
8×div-inv
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 248
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
46.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt z)
339.0ms
(cbrt z)
324.0ms
(cbrt z)
87.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) (/ x (cbrt z)))

simplify1.2s

Counts
260 → 260
Iterations
IterNodes
done2000
22000
1949
0288

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ (cbrt (/ y (cbrt z))) (cbrt (cbrt z))) (/ x (cbrt z)))
2.6b
(cbrt (/ y (cbrt z)))
2.6b
(cbrt (/ y (cbrt z)))
2.6b
(cbrt (/ y (cbrt z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
691×cbrt-prod
539×times-frac
416×add-sqr-sqrt
258×*-un-lft-identity add-cube-cbrt
229×associate-*l*
39×unswap-sqr
22×associate-*r*
16×add-exp-log
14×div-inv
10×add-cbrt-cube
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 415
Calls
4 calls:
46.0ms
(* (/ (cbrt (/ y (cbrt z))) (cbrt (cbrt z))) (/ x (cbrt z)))
2.0ms
(cbrt (/ y (cbrt z)))
7.0ms
(cbrt (/ y (cbrt z)))
2.0ms
(cbrt (/ y (cbrt z)))

series1.4s

Counts
4 → 12
Calls
4 calls:
552.0ms
(* (/ (cbrt (/ y (cbrt z))) (cbrt (cbrt z))) (/ x (cbrt z)))
244.0ms
(cbrt (/ y (cbrt z)))
316.0ms
(cbrt (/ y (cbrt z)))
314.0ms
(cbrt (/ y (cbrt z)))

simplify1.6s

Counts
427 → 427
Iterations
IterNodes
done2003
22003
11157
0407

prune4.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(* (* (/ (/ y (cbrt z)) (cbrt z)) x) (/ 1 (cbrt z)))
3.0b
(* (/ (/ y (cbrt z)) (cbrt z)) x)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
268×times-frac
167×add-sqr-sqrt
143×*-un-lft-identity add-cube-cbrt
140×cbrt-prod
137×associate-*l*
73×add-exp-log
32×add-cbrt-cube
31×prod-exp
25×associate-*r*
23×div-exp
17×cbrt-unprod
13×cbrt-undiv
11×pow1
8×div-inv
7×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
1×frac-times associate-*r/ un-div-inv
Counts
4 → 257
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
59.0ms
(* (* (/ (/ y (cbrt z)) (cbrt z)) x) (/ 1 (cbrt z)))
47.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) x)

series934.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt z)
317.0ms
(cbrt z)
116.0ms
(* (* (/ (/ y (cbrt z)) (cbrt z)) x) (/ 1 (cbrt z)))
232.0ms
(* (/ (/ y (cbrt z)) (cbrt z)) x)

simplify1.2s

Counts
269 → 269
Iterations
IterNodes
done2001
22001
1878
0322

prune1.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

24.2% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.7b

bsearch3.0ms

simplify8.0ms

Iterations
IterNodes
done33
133
028

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s9590×body80valid