Details

Time bar (total: 12.8s)

sample19.0ms

Algorithm
intervals
Results
6.0ms341×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

localize11.0ms

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))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ 1.0 (* x x))

simplify901.0ms

Counts
26 → 26
Iterations
IterNodes
done5001
2616
1112
045

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite22.0ms

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:
17.0ms
(/ (/ 1.0 x) x)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (/ 1.0 x) x)

simplify1.2s

Counts
75 → 75
Iterations
IterNodes
done5000
21637
1343
0142

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite47.0ms

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:
33.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series1.3s

Counts
4 → 12
Calls
4 calls:
409.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
279.0ms
(cbrt (/ 1.0 x))
273.0ms
(cbrt (/ 1.0 x))
338.0ms
(cbrt (/ 1.0 x))

simplify1.7s

Counts
164 → 164
Iterations
IterNodes
done5001
21212
1259
0146

prune875.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt (/ 1.0 x)) x)
0.4b
(* (/ 1.0 x) (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
19.0b
(cbrt (* (/ 1.0 x) (/ 1.0 x)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
133×times-frac
100×add-sqr-sqrt
88×*-un-lft-identity add-cube-cbrt
66×cbrt-prod
18×add-exp-log
17×add-cbrt-cube
16×associate-/l*
13×swap-sqr associate-*r* associate-*l*
11×pow1
10×div-inv
5×cbrt-undiv cbrt-div div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r*
2×frac-times pow1/3 associate-*l/ associate-*r/
1×pow2 clear-num frac-2neg pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up associate-/l/
Counts
4 → 189
Calls
4 calls:
10.0ms
(/ (cbrt (/ 1.0 x)) x)
36.0ms
(* (/ 1.0 x) (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))
13.0ms
(cbrt (* (/ 1.0 x) (/ 1.0 x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
433.0ms
(/ (cbrt (/ 1.0 x)) x)
50.0ms
(* (/ 1.0 x) (/ 1.0 x))
282.0ms
(cbrt (/ 1.0 x))
327.0ms
(cbrt (* (/ 1.0 x) (/ 1.0 x)))

simplify3.1s

Counts
201 → 201
Iterations
IterNodes
done5001
23707
1643
0278

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes189.0ms

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

sample624.0ms

Algorithm
intervals
Results
335.0ms10638×body80valid