Details

Time bar (total: 15.8s)

sample32.0ms

Algorithm
intervals
Results
19.0ms501×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
62602
5517
4140
349
225
111
06

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

0.1b
(exp (fma x x (- 1.0)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×exp-prod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
1×expm1-log1p-u pow1 add-cbrt-cube exp-sum add-exp-log fma-udef log1p-expm1-u rem-exp-log
Counts
1 → 14
Calls
1 calls:
4.0ms
(exp (fma x x (- 1.0)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(exp (fma x x (- 1.0)))

simplify805.0ms

Counts
17 → 17
Iterations
IterNodes
done5000
3825
2177
163
034

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×unpow-prod-down associate-*l*
4×pow-pow add-cbrt-cube
3×pow1 pow-unpow exp-prod associate-*r* prod-exp add-exp-log unswap-sqr sqr-pow
2×exp-neg expm1-log1p-u pow-to-exp pow-exp associate-*r/ log1p-expm1-u add-log-exp
1×neg-sub0 exp-diff un-div-inv *-commutative cbrt-unprod
Counts
2 → 52
Calls
2 calls:
39.0ms
(* (pow (exp x) x) (exp (- 1.0)))
4.0ms
(pow (exp x) x)

series209.0ms

Counts
2 → 6
Calls
2 calls:
173.0ms
(* (pow (exp x) x) (exp (- 1.0)))
37.0ms
(pow (exp x) x)

simplify798.0ms

Counts
58 → 58
Iterations
IterNodes
done5000
2895
1209
085

prune294.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.0b
(pow (sqrt (exp x)) x)
0.0b
(pow (sqrt (exp x)) x)
0.0b
(* (pow (sqrt (exp x)) x) (/ (pow (sqrt (exp x)) x) (exp 1.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
54×unpow-prod-down
46×times-frac
37×*-un-lft-identity add-cube-cbrt
34×associate-*r*
30×sqrt-prod
23×add-exp-log
20×unswap-sqr
15×sqr-pow
12×pow-pow sqrt-pow1 prod-exp
10×associate-*l*
9×pow-to-exp pow1 exp-prod add-cbrt-cube div-exp pow-exp
6×pow-unpow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/2
2×cbrt-unprod sqrt-pow2
1×cbrt-undiv rem-sqrt-square associate-*r/ *-commutative div-inv
Counts
4 → 163
Calls
4 calls:
2.0ms
(sqrt (exp x))
4.0ms
(pow (sqrt (exp x)) x)
6.0ms
(pow (sqrt (exp x)) x)
53.0ms
(* (pow (sqrt (exp x)) x) (/ (pow (sqrt (exp x)) x) (exp 1.0)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (exp x))
49.0ms
(pow (sqrt (exp x)) x)
71.0ms
(pow (sqrt (exp x)) x)
171.0ms
(* (pow (sqrt (exp x)) x) (/ (pow (sqrt (exp x)) x) (exp 1.0)))

simplify5.3s

Counts
175 → 175
Iterations
IterNodes
done5001
24296
1529
0185

prune672.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (cbrt (exp x))) x)
0.0b
(pow (fabs (cbrt (exp x))) x)
0.0b
(cbrt (exp x))
0.0b
(cbrt (exp x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt unpow-prod-down *-un-lft-identity add-cube-cbrt
9×cbrt-prod
7×pow1
6×pow-unpow add-exp-log sqrt-prod
5×pow-pow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×pow-to-exp sqrt-pow1 pow-exp sqr-pow
1×pow1/2 sqrt-pow2
Counts
4 → 74
Calls
4 calls:
9.0ms
(pow (sqrt (cbrt (exp x))) x)
4.0ms
(pow (fabs (cbrt (exp x))) x)
3.0ms
(cbrt (exp x))
4.0ms
(cbrt (exp x))

series713.0ms

Counts
4 → 12
Calls
4 calls:
470.0ms
(pow (sqrt (cbrt (exp x))) x)
18.0ms
(pow (fabs (cbrt (exp x))) x)
107.0ms
(cbrt (exp x))
118.0ms
(cbrt (exp x))

simplify1.9s

Counts
86 → 86
Iterations
IterNodes
done5000
34229
21014
1308
0117

prune524.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
016

end0.0ms

sample1.2s

Algorithm
intervals
Results
825.0ms15791×body80valid