Details

Time bar (total: 13.7s)

sample34.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms276×body80nan

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
3136
done136

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×sqrt-prod add-log-exp
3×pow1 fma-neg prod-diff
2×add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 39
Calls
2 calls:
11.0ms
(- 1.0 (* x x))
14.0ms
(sqrt (- 1.0 (* x x)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- 1.0 (* x x))
98.0ms
(sqrt (- 1.0 (* x x)))

simplify1.7s

Counts
45 → 45
Iterations

Useful iterations: done (1.7s)

IterNodesCost
087473
1190433
2521394
31754386
done5001364

prune127.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 (fma x x 1.0) (pow x 4))
0.0b
(- (pow 1.0 3) (pow x 6))
0.0b
(sqrt (/ (- (pow 1.0 3) (pow x 6)) (fma 1.0 (fma x x 1.0) (pow x 4))))
0.0b
(/ (- (pow 1.0 3) (pow x 6)) (fma 1.0 (fma x x 1.0) (pow x 4)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
232×add-sqr-sqrt
116×unpow-prod-down
109×*-un-lft-identity
97×times-frac
96×difference-of-squares
93×add-cube-cbrt
84×prod-diff
76×sqr-pow
52×sqrt-prod
48×cube-prod
16×associate-/l*
12×fma-neg
8×cube-mult unpow3 distribute-lft-out--
6×add-exp-log add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×associate-/r*
2×rem-sqrt-square flip3-- flip-- div-inv associate-/l/
1×cbrt-undiv sub-neg frac-2neg sqrt-pow1 pow1/2 sqrt-div diff-log div-sub div-exp clear-num fma-udef
Counts
4 → 283
Calls
4 calls:
0.0ms
(fma 1.0 (fma x x 1.0) (pow x 4))
37.0ms
(- (pow 1.0 3) (pow x 6))
46.0ms
(sqrt (/ (- (pow 1.0 3) (pow x 6)) (fma 1.0 (fma x x 1.0) (pow x 4))))
111.0ms
(/ (- (pow 1.0 3) (pow x 6)) (fma 1.0 (fma x x 1.0) (pow x 4)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(fma 1.0 (fma x x 1.0) (pow x 4))
169.0ms
(- (pow 1.0 3) (pow x 6))
217.0ms
(sqrt (/ (- (pow 1.0 3) (pow x 6)) (fma 1.0 (fma x x 1.0) (pow x 4))))
365.0ms
(/ (- (pow 1.0 3) (pow x 6)) (fma 1.0 (fma x x 1.0) (pow x 4)))

simplify1.8s

Counts
295 → 295
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03939151
17677386
218396365
done50005895

prune921.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma 1.0 (fma x x 1.0) (pow x 4)) (- (pow 1.0 3/2) (sqrt (pow x 6))))
0.0b
(/ (+ (pow 1.0 (/ 3 2)) (sqrt (pow x 6))) (/ (fma 1.0 (fma x x 1.0) (pow x 4)) (- (pow 1.0 3/2) (sqrt (pow x 6)))))
7.9b
(sqrt (pow x 6))
7.9b
(sqrt (pow x 6))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
511×add-sqr-sqrt
504×times-frac
332×*-un-lft-identity
228×difference-of-squares
185×sqrt-prod
184×add-cube-cbrt
141×unpow-prod-down
137×sqr-pow
70×associate-/r*
55×distribute-lft-out
19×distribute-lft-out--
13×associate-/r/
11×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×rem-sqrt-square flip3-- flip--
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×flip3-+ flip-+
Counts
4 → 418
Calls
4 calls:
64.0ms
(/ (fma 1.0 (fma x x 1.0) (pow x 4)) (- (pow 1.0 3/2) (sqrt (pow x 6))))
196.0ms
(/ (+ (pow 1.0 (/ 3 2)) (sqrt (pow x 6))) (/ (fma 1.0 (fma x x 1.0) (pow x 4)) (- (pow 1.0 3/2) (sqrt (pow x 6)))))
7.0ms
(sqrt (pow x 6))
8.0ms
(sqrt (pow x 6))

series1.5s

Counts
4 → 12
Calls
4 calls:
213.0ms
(/ (fma 1.0 (fma x x 1.0) (pow x 4)) (- (pow 1.0 3/2) (sqrt (pow x 6))))
1.2s
(/ (+ (pow 1.0 (/ 3 2)) (sqrt (pow x 6))) (/ (fma 1.0 (fma x x 1.0) (pow x 4)) (- (pow 1.0 3/2) (sqrt (pow x 6)))))
61.0ms
(sqrt (pow x 6))
62.0ms
(sqrt (pow x 6))

simplify2.3s

Counts
430 → 430
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
053619436
1114817510
2471116856
done500016856

prune2.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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 (1.0ms)

IterNodesCost
01318
done1318

end0.0ms

sample852.0ms

Algorithm
intervals
Results
370.0ms8000×body80valid
226.0ms7937×body80nan