Details

Time bar (total: 3.6s)

sample273.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms270×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×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 div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
12.0ms
(/ (- 1.0 x) (+ 1.0 x))

series144.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
91.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
50.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0354753
11071709
25001690

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
46×*-un-lft-identity
41×times-frac
26×add-cube-cbrt associate-*l*
21×difference-of-squares
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
9×pow1
7×flip3-- flip--
5×sqrt-div associate-*r* associate-/l*
4×frac-times associate-*r/ associate-/r* associate-/r/ add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×frac-2neg pow1/2 div-sub clear-num sqrt-prod *-commutative
Counts
4 → 124
Calls
4 calls:
0.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
10.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
9.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
31.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series154.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
34.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
69.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
47.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify77.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05431279
124981150
250011027

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
163×add-sqr-sqrt *-un-lft-identity
142×times-frac
102×cbrt-prod
91×sqrt-prod
81×add-cube-cbrt
69×associate-*r*
30×cbrt-div
29×add-exp-log
27×associate-*l*
24×distribute-lft-out
19×add-cbrt-cube unswap-sqr
16×distribute-lft-out-- difference-of-squares
15×flip3-+ flip-+
13×pow1
12×associate-/r/
9×frac-times swap-sqr prod-exp cbrt-unprod
8×cbrt-undiv div-exp associate-/l*
7×pow1/3 associate-/r*
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down div-inv
2×sqrt-div pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 flip3-- frac-2neg pow-plus clear-num flip--
Counts
4 → 275
Calls
4 calls:
2.0ms
(cbrt (+ 1.0 x))
13.0ms
(/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))
94.0ms
(* (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))))
22.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series478.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ 1.0 x))
251.0ms
(/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))
37.0ms
(* (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))))
103.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010573686
150013399

prune780.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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
01410
11410

end0.0ms

sample710.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid
217.0ms8057×body80nan