Details

Time bar (total: 8.1s)

sample17.0ms

Algorithm
intervals
Results
6.0ms340×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
04

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
13.0ms
(* (* x y) y)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* (* x y) y)

simplify511.0ms

Counts
23 → 23
Iterations
IterNodes
done5001
2705
1102
038

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y x) y)) (cbrt (* (* y x) y)))
22.2b
(cbrt (* (* y x) y))
22.2b
(cbrt (* (* y x) y))
22.2b
(cbrt (* (* y x) y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
33.0ms
(* (cbrt (* (* y x) y)) (cbrt (* (* y x) y)))
14.0ms
(cbrt (* (* y x) y))
10.0ms
(cbrt (* (* y x) y))
11.0ms
(cbrt (* (* y x) y))

series559.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (* (* y x) y)) (cbrt (* (* y x) y)))
138.0ms
(cbrt (* (* y x) y))
140.0ms
(cbrt (* (* y x) y))
102.0ms
(cbrt (* (* y x) y))

simplify679.0ms

Counts
78 → 78
Iterations
IterNodes
done5001
2780
1225
090

prune539.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
11.8b
(cbrt (* y x))
11.8b
(cbrt (* y x))
22.2b
(cbrt (* (* y x) y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(cbrt (* y x))
5.0ms
(cbrt (* y x))
18.0ms
(cbrt (* (* y x) y))

series587.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt y)
77.0ms
(cbrt (* y x))
100.0ms
(cbrt (* y x))
144.0ms
(cbrt (* (* y x) y))

simplify660.0ms

Counts
58 → 58
Iterations
IterNodes
done5001
31182
2390
1168
082

prune338.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
16.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt y) (cbrt y))
314.0ms
(cbrt y)
295.0ms
(cbrt y)
273.0ms
(cbrt y)

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune415.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes307.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample761.0ms

Algorithm
intervals
Results
358.0ms10628×body80valid