Details

Time bar (total: 1.3s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms273×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
1113
2113

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
2.0ms
(- 1.0 (* x x))

series96.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(sqrt (- 1.0 (* x x)))
37.0ms
(- 1.0 (* x x))

simplify90.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0172188
1579180
22851178
35001177

prune75.0ms

Filtered
35 candidates to 27 candidates (77.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))
0.0b
(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
0.1b
(* (* x x) (* x x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
115×pow1
36×pow-prod-up
25×times-frac
23×add-sqr-sqrt pow-prod-down
22×pow-sqr
20×add-cube-cbrt *-un-lft-identity
18×pow-plus sqrt-prod
17×add-exp-log add-cbrt-cube
13×pow2
8×prod-exp cbrt-unprod
7×difference-of-squares
4×associate-/r/ associate-/l*
3×associate-/r* add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative flip-- unswap-sqr
Counts
3 → 129
Calls
3 calls:
8.0ms
(sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))
10.0ms
(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
12.0ms
(* (* x x) (* x x))

series256.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(sqrt (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))
118.0ms
(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
30.0ms
(* (* x x) (* x x))

simplify65.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04431005
11864914
25001901

prune217.0ms

Filtered
138 candidates to 79 candidates (57.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

sample408.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid
119.0ms7953×body80nan