Details

Time bar (total: 10.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms271×body80nan

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
17
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×sqrt-prod add-log-exp
3×pow1 fma-neg prod-diff
2×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u flip-- difference-of-squares
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 39
Calls
2 calls:
9.0ms
(- 1.0 (* x x))
10.0ms
(sqrt (- 1.0 (* x x)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- 1.0 (* x x))
107.0ms
(sqrt (- 1.0 (* x x)))

simplify1.8s

Counts
45 → 45
Iterations
IterNodes
done5004
31960
2555
1198
087

prune205.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×add-log-exp
5×expm1-log1p-u pow1
4×add-cbrt-cube add-exp-log log1p-expm1-u
3×fma-neg prod-diff sqrt-prod
1×rem-sqrt-square log1p-udef expm1-log1p sub-neg sqrt-pow1 flip3-- pow1/2 diff-log log1p-expm1 flip-- expm1-udef difference-of-squares
Counts
4 → 58
Calls
4 calls:
0.0ms
(log1p (- 1.0 (* x x)))
5.0ms
(- 1.0 (* x x))
1.0ms
(sqrt (expm1 (log1p (- 1.0 (* x x)))))
0.0ms
(expm1 (log1p (- 1.0 (* x x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
158.0ms
(log1p (- 1.0 (* x x)))
69.0ms
(- 1.0 (* x x))
381.0ms
(sqrt (expm1 (log1p (- 1.0 (* x x)))))
540.0ms
(expm1 (log1p (- 1.0 (* x x))))

simplify1.7s

Counts
70 → 70
Iterations
IterNodes
done5000
21364
1437
0176

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
88×frac-times
87×flip3-- flip--
52×cbrt-div
44×associate-*l/
31×pow1
26×sqrt-div associate-*r/
23×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×prod-diff
11×add-cbrt-cube add-exp-log
10×distribute-rgt-in distribute-lft-in
8×associate-*r*
7×pow-plus pow-prod-up
5×associate-*l* difference-of-squares
4×expm1-log1p-u sub-neg swap-sqr pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u add-log-exp
3×pow2 pow-sqr
2×cbrt-prod sqrt-pow1 pow1/3 pow3 *-commutative unswap-sqr
1×rem-sqrt-square pow1/2 rem-cbrt-cube
Counts
4 → 196
Calls
4 calls:
92.0ms
(* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))
47.0ms
(cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))))
15.0ms
(sqrt (cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))))
40.0ms
(* (- 1.0 (* x x)) (- 1.0 (* x x)))

series293.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))
60.0ms
(cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))))
96.0ms
(sqrt (cbrt (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x)))))
56.0ms
(* (- 1.0 (* x x)) (- 1.0 (* x x)))

simplify2.2s

Counts
208 → 208
Iterations
IterNodes
done5005
22411
1719
0293

prune787.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample1.1s

Algorithm
intervals
Results
608.0ms8157×body80nan
253.0ms8000×body80valid