Details

Time bar (total: 4.0s)

sample32.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms230×body80nan

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
9.0ms
(sqrt (- 1.0 (* x x)))

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(sqrt (- 1.0 (* x x)))

simplify526.0ms

Counts
19 → 19
Iterations

Useful iterations: done (525.0ms)

IterNodesCost
067246
1164220
2720206
done5001202

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- (* 1.0 1.0) (pow x 4)))
0.0b
(sqrt (+ 1.0 (* x x)))
0.0b
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
81×sqrt-prod
57×add-sqr-sqrt
54×times-frac
39×add-cube-cbrt *-un-lft-identity
24×difference-of-squares
9×associate-/l*
8×unpow-prod-down sqrt-div sqr-pow
6×associate-/r*
5×pow1 add-exp-log add-cbrt-cube
3×add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 119
Calls
3 calls:
27.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
8.0ms
(sqrt (+ 1.0 (* x x)))
55.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

series322.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
48.0ms
(sqrt (+ 1.0 (* x x)))
145.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

simplify1.3s

Counts
128 → 128
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02313027
14732724
223072642
done50012627

prune445.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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

sample948.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid
243.0ms8027×body80nan