Details

Time bar (total: 31.4s)

sample73.0ms

Algorithm
intervals
Results
13.0ms345×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.1b
(* (* y z) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ x (* (* y z) z))
21.0ms
(* (* y z) z)

series144.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(+ x (* (* y z) z))
53.0ms
(* (* y z) z)

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: 2 (237.0ms)

IterNodesCost
062345
1173306
21017273
done5000273

prune120.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
20.2b
(cbrt (* (* y z) z))
20.2b
(cbrt (* (* y z) z))
20.2b
(cbrt (* (* y z) z))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
57.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
19.0ms
(cbrt (* (* y z) z))
13.0ms
(cbrt (* (* y z) z))
13.0ms
(cbrt (* (* y z) z))

series568.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
128.0ms
(cbrt (* (* y z) z))
137.0ms
(cbrt (* (* y z) z))
126.0ms
(cbrt (* (* y z) z))

simplify22.2s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
090916
1228821
2725732
34990629
done5000629

prune327.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt z) (cbrt z))
244.0ms
(cbrt z)
324.0ms
(cbrt z)
285.0ms
(cbrt z)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (cbrt x) (cbrt x))
322.0ms
(cbrt x)
276.0ms
(cbrt x)
290.0ms
(cbrt x)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune230.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0922
11322
done1322

end0.0ms

sample926.0ms

Algorithm
intervals
Results
405.0ms10661×body80valid