Details

Time bar (total: 20.9s)

sample29.0ms

Algorithm
intervals
Results
16.0ms529×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (20.0ms)

IterNodesCost
067
1117
2257
3467
4766
51386
63836
713596
done50006

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×exp-prod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log expm1-log1p-u exp-sum add-cbrt-cube fma-udef log1p-expm1-u rem-exp-log
Counts
1 → 14
Calls
1 calls:
3.0ms
(exp (fma x x (- 1.0)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(exp (fma x x (- 1.0)))

simplify3.3s

Counts
17 → 17
Iterations

Useful iterations: 5 (1.9s)

IterNodesCost
034147
163142
2136129
3360125
41068124
52997123
done5000123

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×sqrt-pow1
27×exp-prod
26×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
20×pow1
9×pow1/2 swap-sqr
8×pow-prod-up
7×associate-*r* associate-*l* exp-sum fma-udef
6×add-exp-log pow-prod-down pow-sqr add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u unswap-sqr
2×rem-exp-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
3.0ms
(sqrt (exp (fma x x (- 1.0))))
47.0ms
(* (sqrt (exp (fma x x (- 1.0)))) (sqrt (exp (fma x x (- 1.0)))))
3.0ms
(exp (fma x x (- 1.0)))
4.0ms
(exp (fma x x (- 1.0)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (exp (fma x x (- 1.0))))
32.0ms
(* (sqrt (exp (fma x x (- 1.0)))) (sqrt (exp (fma x x (- 1.0)))))
47.0ms
(exp (fma x x (- 1.0)))
46.0ms
(exp (fma x x (- 1.0)))

simplify3.6s

Counts
122 → 122
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
01051672
11891168
24721040
31231991
44095945
done5000945

prune319.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:
7.0ms
(pow (exp x) x)
44.0ms
(* (pow (exp x) x) (exp (- 1.0)))

series202.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(pow (exp x) x)
166.0ms
(* (pow (exp x) x) (exp (- 1.0)))

simplify2.1s

Counts
58 → 58
Iterations

Useful iterations: 3 (527.0ms)

IterNodesCost
085520
1179478
2492418
31601409
done5001409

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×pow1
15×*-un-lft-identity
14×sqrt-prod
12×associate-*l*
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×pow-prod-down
9×sqrt-pow1
8×exp-prod associate-*r*
7×add-log-exp
5×pow1/2
4×expm1-log1p-u sqrt-div associate-*l/ prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
3×sqrt-unprod
2×neg-sub0 exp-neg exp-diff associate-*r/ exp-sum *-commutative pow-prod-up fma-udef rem-exp-log
1×exp-to-pow distribute-rgt-neg-in
Counts
4 → 91
Calls
4 calls:
41.0ms
(* (sqrt (exp (- 1.0))) (sqrt (exp (fma x x (- 1.0)))))
112.0ms
(* (sqrt (exp (* x x))) (* (sqrt (exp (- 1.0))) (sqrt (exp (fma x x (- 1.0))))))
4.0ms
(exp (* x x))
2.0ms
(exp (fma x x (- 1.0)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (sqrt (exp (- 1.0))) (sqrt (exp (fma x x (- 1.0)))))
270.0ms
(* (sqrt (exp (* x x))) (* (sqrt (exp (- 1.0))) (sqrt (exp (fma x x (- 1.0))))))
12.0ms
(exp (* x x))
32.0ms
(exp (fma x x (- 1.0)))

simplify2.9s

Counts
103 → 103
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01301518
12531375
27571251
328561230
done50011229

prune427.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s15871×body80valid