Details

Time bar (total: 15.1s)

sample67.0ms

Algorithm
intervals
Results
24.0ms47×body1280valid
11.0ms35×body640valid
11.0ms145×body80valid
5.0ms22×body320valid
1.0ms7×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1128
2158
done158

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (sin y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x (sin y) (* z (cos y)))
19.0ms
(* z (cos y))

series226.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(fma x (sin y) (* z (cos y)))
99.0ms
(* z (cos y))

simplify2.0s

Counts
36 → 36
Iterations

Useful iterations: 3 (242.0ms)

IterNodesCost
050271
191266
2240235
3893233
42775233
done5000233

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
307.0ms
(* (cbrt z) (cbrt z))
294.0ms
(cbrt z)
242.0ms
(cbrt z)
245.0ms
(cbrt z)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune391.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.7s

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt z)
353.0ms
(cbrt z)
733.0ms
(cbrt z)
291.0ms
(cbrt z)

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune407.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
345.0ms
(cbrt z)
313.0ms
(cbrt z)
329.0ms
(cbrt z)
237.0ms
(cbrt z)

simplify1.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
026284
147268
2115244
3334232
41002232
done5001232

prune356.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s1449×body1280valid
1.1s1228×body640valid
772.0ms4422×body80valid
282.0ms592×body320valid
73.0ms309×body160valid