Details

Time bar (total: 17.2s)

sample13.0ms

Algorithm
intervals
Results
6.0ms347×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize5.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite13.0ms

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:
12.0ms
(/ 1.0 (* x x))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ 1.0 (* x x))

simplify1.4s

Counts
26 → 26
Iterations
IterNodes
done5003
31298
2305
1102
045

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite21.0ms

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:
15.0ms
(/ (/ 1.0 x) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (/ 1.0 x) x)

simplify3.3s

Counts
75 → 75
Iterations
IterNodes
done5057
34293
2809
1323
0142

prune446.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
43.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
4.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))

series1.3s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
336.0ms
(cbrt (/ 1.0 x))
318.0ms
(cbrt (/ 1.0 x))
330.0ms
(cbrt (/ 1.0 x))

simplify3.4s

Counts
164 → 164
Iterations
IterNodes
done5000
44238
31319
2596
1255
0146

prune947.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(* (/ (cbrt 1.0) (cbrt x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
99×add-sqr-sqrt
80×times-frac
52×*-un-lft-identity add-cube-cbrt
40×associate-*l*
16×associate-*r*
15×unswap-sqr
9×add-exp-log
6×pow1
5×add-cbrt-cube
4×expm1-log1p-u cbrt-div log1p-expm1-u div-inv add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-times cbrt-undiv div-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 150
Calls
4 calls:
1.0ms
(cbrt x)
45.0ms
(* (/ (cbrt 1.0) (cbrt x)) (cbrt (/ 1.0 x)))
4.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))

series1.3s

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt x)
419.0ms
(* (/ (cbrt 1.0) (cbrt x)) (cbrt (/ 1.0 x)))
301.0ms
(cbrt (/ 1.0 x))
386.0ms
(cbrt (/ 1.0 x))

simplify2.8s

Counts
162 → 162
Iterations
IterNodes
done5008
33972
21194
1404
0182

prune1.0s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes212.0ms

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
done4
04

end0.0ms

sample536.0ms

Algorithm
intervals
Results
273.0ms10598×body80valid