Details

Time bar (total: 14.6s)

sample48.0ms

Algorithm
intervals
Results
27.0ms515×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (37.0ms)

IterNodesCost
067
1117
2257
3497
41406
55646
629386
done50006

prune4.0ms

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 (- (* x x) 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
5×exp-sum
4×add-sqr-sqrt exp-prod add-log-exp
3×add-cube-cbrt *-un-lft-identity prod-diff
2×rem-exp-log
1×pow1 add-exp-log expm1-log1p-u sub-neg exp-diff diff-log add-cbrt-cube log1p-expm1-u difference-of-squares
Counts
1 → 21
Calls
1 calls:
32.0ms
(exp (- (* x x) 1.0))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(exp (- (* x x) 1.0))

simplify4.2s

Counts
24 → 24
Iterations

Useful iterations: done (4.2s)

IterNodesCost
062234
1120203
2387180
31961164
done5000163

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- (* x x) 1.0))
1.0b
(log1p (exp (- (* x x) 1.0)))
1.0b
(expm1 (log1p (exp (- (* x x) 1.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
5×add-cube-cbrt *-un-lft-identity exp-sum
4×expm1-log1p-u exp-prod
3×pow1 add-exp-log prod-diff add-cbrt-cube log1p-expm1-u
2×rem-exp-log
1×sub-neg log1p-udef expm1-log1p exp-diff diff-log log1p-expm1 expm1-udef difference-of-squares
Counts
3 → 43
Calls
3 calls:
45.0ms
(exp (- (* x x) 1.0))
1.0ms
(log1p (exp (- (* x x) 1.0)))
0.0ms
(expm1 (log1p (exp (- (* x x) 1.0))))

series483.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(exp (- (* x x) 1.0))
205.0ms
(log1p (exp (- (* x x) 1.0)))
251.0ms
(expm1 (log1p (exp (- (* x x) 1.0))))

simplify408.0ms

Counts
52 → 52
Iterations

Useful iterations: done (406.0ms)

IterNodesCost
096561
1192499
2670443
done5001432

prune162.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
0.0b
(exp (+ x (sqrt 1.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
20×unpow-prod-up
18×add-cube-cbrt prod-diff
10×sqrt-prod
8×exp-prod
6×pow-unpow
5×pow-pow add-log-exp
4×unpow-prod-down
3×pow1
2×add-exp-log expm1-log1p-u exp-sum add-cbrt-cube log1p-expm1-u rem-exp-log distribute-lft-out difference-of-squares
1×pow-to-exp sub-neg pow-exp sum-log distribute-lft-out-- pow-sub sqr-pow
Counts
2 → 64
Calls
2 calls:
56.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
22.0ms
(exp (+ x (sqrt 1.0)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
211.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
35.0ms
(exp (+ x (sqrt 1.0)))

simplify1.2s

Counts
70 → 70
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01471342
14221107
21760968
done5000897

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×unpow-prod-up
72×prod-diff
66×*-un-lft-identity
62×add-cube-cbrt
41×sqrt-prod
27×associate-*r* associate-*l*
18×unpow-prod-down
12×pow-unpow
11×pow-pow
10×sqr-pow
9×add-exp-log exp-prod prod-exp unswap-sqr
8×pow-to-exp pow-exp
6×pow-sub
5×pow1 add-cbrt-cube
4×sub-neg difference-of-squares
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-lft-out--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative cbrt-unprod
Counts
3 → 182
Calls
3 calls:
104.0ms
(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- x (sqrt 1.0))))
19.0ms
(pow (exp x) (- x (sqrt 1.0)))
26.0ms
(pow (exp (sqrt 1.0)) (- x (sqrt 1.0)))

series512.0ms

Counts
3 → 9
Calls
3 calls:
371.0ms
(* (pow (exp x) (- x (sqrt 1.0))) (pow (exp (sqrt 1.0)) (- x (sqrt 1.0))))
44.0ms
(pow (exp x) (- x (sqrt 1.0)))
97.0ms
(pow (exp (sqrt 1.0)) (- x (sqrt 1.0)))

simplify2.5s

Counts
191 → 191
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02634143
17673422
237552841
done50022778

prune859.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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
056
done56

end0.0ms

sample1.1s

Algorithm
intervals
Results
714.0ms16045×body80valid