Details

Time bar (total: 32.4s)

sample56.0ms

Algorithm
intervals
Results
35.0ms529×body80valid

simplify12.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
067
1127
2357
32846
done50006

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
6×prod-diff
5×add-cube-cbrt *-un-lft-identity exp-sum
4×exp-prod
2×pow1 add-exp-log expm1-log1p-u sub-neg diff-log add-cbrt-cube log1p-expm1-u rem-exp-log difference-of-squares
1×flip3-- exp-diff fma-neg flip--
Counts
2 → 40
Calls
2 calls:
16.0ms
(- (* x x) 1.0)
24.0ms
(exp (- (* x x) 1.0))

series123.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(- (* x x) 1.0)
52.0ms
(exp (- (* x x) 1.0))

simplify2.1s

Counts
46 → 46
Iterations

Useful iterations: done (2.1s)

IterNodesCost
080447
1767363
done5000324

prune184.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down associate-*l*
4×pow-pow add-cbrt-cube
3×pow1 add-exp-log pow-unpow exp-prod associate-*r* prod-exp unswap-sqr sqr-pow
2×exp-neg expm1-log1p-u pow-to-exp associate-*r/ pow-exp log1p-expm1-u add-log-exp
1×neg-sub0 exp-diff un-div-inv *-commutative cbrt-unprod
Counts
2 → 52
Calls
2 calls:
9.0ms
(pow (exp x) x)
61.0ms
(* (pow (exp x) x) (exp (- 1.0)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(pow (exp x) x)
174.0ms
(* (pow (exp x) x) (exp (- 1.0)))

simplify2.0s

Counts
58 → 58
Iterations

Useful iterations: done (2.0s)

IterNodesCost
085520
1567453
done5000413

prune143.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×sqrt-prod
34×exp-sum
32×exp-prod sqrt-pow1
27×add-cube-cbrt *-un-lft-identity
21×prod-diff
19×pow1
15×swap-sqr
12×add-log-exp
11×associate-*r* associate-*l*
9×sub-neg pow-prod-up difference-of-squares
8×pow1/2
7×pow-prod-down pow-sqr
6×add-exp-log exp-diff add-cbrt-cube
4×expm1-log1p-u sqrt-div log1p-expm1-u rem-exp-log unswap-sqr
3×diff-log
1×pow2 frac-times flip3-- pow-plus fma-neg sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 144
Calls
4 calls:
20.0ms
(- (* x x) 1.0)
228.0ms
(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))
52.0ms
(exp (- (* x x) 1.0))
36.0ms
(exp (- (* x x) 1.0))

series199.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* x x) 1.0)
45.0ms
(* (sqrt (exp (- (* x x) 1.0))) (sqrt (exp (- (* x x) 1.0))))
27.0ms
(exp (- (* x x) 1.0))
47.0ms
(exp (- (* x x) 1.0))

simplify3.8s

Counts
156 → 156
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01662279
done50001433

prune490.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×neg-sub0 exp-neg exp-diff
28×frac-times
23×add-exp-log
16×prod-exp
14×associate-*l/
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×pow1 associate-*r* cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×pow-to-exp pow-exp
1×associate-*l* pow-prod-down *-commutative
Counts
4 → 99
Calls
4 calls:
239.0ms
(* (* (pow (exp x) x) (* (cbrt (exp (- 1.0))) (cbrt (exp (- 1.0))))) (cbrt (exp (- 1.0))))
5.0ms
(cbrt (exp (- 1.0)))
5.0ms
(cbrt (exp (- 1.0)))
6.0ms
(cbrt (exp (- 1.0)))

series190.0ms

Counts
4 → 6
Calls
4 calls:
189.0ms
(* (* (pow (exp x) x) (* (cbrt (exp (- 1.0))) (cbrt (exp (- 1.0))))) (cbrt (exp (- 1.0))))
0.0ms
(cbrt (exp (- 1.0)))
0.0ms
(cbrt (exp (- 1.0)))
0.0ms
(cbrt (exp (- 1.0)))

simplify8.5s

Counts
105 → 105
Iterations

Useful iterations: done (8.4s)

IterNodesCost
01301613
16181386
done5001901

prune242.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
865.0ms15871×body80valid