Details

Time bar (total: 17.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms349×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
13.0ms
(/ 1.0 (* x x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ 1.0 (* x x))

simplify1.6s

Counts
26 → 26
Iterations
IterNodes
done5003
31298
2305
1102
045

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv associate-/r* div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 72
Calls
1 calls:
20.0ms
(/ (/ 1.0 x) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (/ 1.0 x) x)

simplify3.1s

Counts
75 → 75
Iterations
IterNodes
done5057
34293
2809
1323
0142

prune250.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series944.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (cbrt x) (cbrt x))
237.0ms
(cbrt x)
215.0ms
(cbrt x)
223.0ms
(cbrt x)

simplify3.4s

Counts
93 → 93
Iterations
IterNodes
done5000
44108
31072
2382
1140
065

prune456.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
0.3b
(/ (/ 1.0 x) (cbrt (* x x)))
0.6b
(cbrt x)
19.7b
(cbrt (* x x))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
1049×times-frac
462×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
280×cbrt-prod
69×associate-/l*
42×div-inv
18×add-exp-log
11×add-cbrt-cube
10×associate-/r*
9×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow1/3 associate-/l/
Counts
4 → 527
Calls
4 calls:
35.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
26.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
1.0ms
(cbrt x)
6.0ms
(cbrt (* x x))

series1.1s

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (/ (/ 1.0 x) (cbrt (* x x))) (cbrt x))
403.0ms
(/ (/ 1.0 x) (cbrt (* x x)))
316.0ms
(cbrt x)
291.0ms
(cbrt (* x x))

simplify2.6s

Counts
539 → 539
Iterations
IterNodes
done5003
24560
11911
0816

prune2.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
04

end0.0ms

sample434.0ms

Algorithm
intervals
Results
220.0ms10684×body80valid