Details

Time bar (total: 6.7s)

sample25.0ms

Algorithm
intervals
Results
14.0ms512×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2474
3904
42394
58054
630724
750034
done50034

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- (- 1.0 (* x x))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
6×add-sqr-sqrt
5×add-log-exp
4×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
3×rem-exp-log
2×distribute-neg-in exp-sum neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube
Counts
1 → 26
Calls
1 calls:
21.0ms
(exp (- (- 1.0 (* x x))))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(exp (- (- 1.0 (* x x))))

simplify44.0ms

Counts
29 → 29
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0108131
1298119
21348116
35001114
done5001114

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- 1.0 (* x x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×exp-prod add-log-exp
3×add-sqr-sqrt
2×add-cube-cbrt *-un-lft-identity exp-sum rem-exp-log
1×pow1 add-exp-log sub-neg exp-diff diff-log add-cbrt-cube difference-of-squares
Counts
1 → 16
Calls
1 calls:
11.0ms
(exp (- 1.0 (* x x)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(exp (- 1.0 (* x x)))

simplify161.0ms

Counts
19 → 19
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
07779
119473
264373
3394470
4500170
done500170

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 (* x x)))
0.0b
(cbrt (- 1.0 (* x x)))
0.0b
(pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x))))
0.0b
(* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
32×cbrt-prod
18×add-cube-cbrt *-un-lft-identity
16×cbrt-div
12×pow1
8×flip3-- pow1/3 flip--
7×pow-unpow pow-pow swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log exp-prod
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 distribute-lft-neg-in pow-to-exp neg-mul-1 distribute-rgt-neg-in pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 106
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x x)))
3.0ms
(cbrt (- 1.0 (* x x)))
166.0ms
(pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x))))
29.0ms
(* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))

series1.3s

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (- 1.0 (* x x)))
193.0ms
(cbrt (- 1.0 (* x x)))
676.0ms
(pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x))))
204.0ms
(* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))

simplify70.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05871485
123501418
250011329
done50011329

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))
1.0b
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
1.0b
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
1.0b
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
30×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×cbrt-div
11×pow1
9×unpow-prod-down pow1/3
7×swap-sqr associate-*r* associate-*l*
6×add-exp-log flip3-- flip--
4×frac-times add-cbrt-cube add-log-exp difference-of-squares unswap-sqr
3×sqr-pow
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
31.0ms
(* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))
4.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
4.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
4.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))

series3.1s

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))
963.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
953.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))
962.0ms
(cbrt (pow (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (cbrt (- 1.0 (* x x)))))

simplify66.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05082180
119782063
250011934
done50011934

prune430.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194
done94

end0.0ms

sample576.0ms

Algorithm
intervals
Results
344.0ms15973×body80valid