Details

Time bar (total: 2.7s)

sample325.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms263×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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:
17.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
25.0ms
(/ (- 1.0 x) (+ 1.0 x))

series130.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
43.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001690

prune211.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
0.0b
(/ (- 1.0 x) (+ 1.0 x))
0.0b
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
0.0b
(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
151×*-un-lft-identity
100×times-frac
99×add-sqr-sqrt
58×cbrt-prod
57×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube
5×pow1 flip3-+ flip-+ div-inv associate-/l*
4×associate-/r* add-log-exp
3×pow-unpow
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
4 → 193
Calls
4 calls:
1.0ms
(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
21.0ms
(/ (- 1.0 x) (+ 1.0 x))
20.0ms
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
22.0ms
(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

series115.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
29.0ms
(/ (- 1.0 x) (+ 1.0 x))
32.0ms
(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
52.0ms
(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify71.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05721553
124721443
250031425

prune321.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
0.0b
(/ 1 (+ 1.0 x))
0.0b
(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
0.0b
(* (- 1.0 x) (/ 1 (+ 1.0 x)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
10×pow1
7×distribute-lft-out
6×sqrt-div
5×associate-*l*
4×frac-times flip3-- div-exp associate-*l/ prod-exp associate-/r* associate-/r/ flip-- add-log-exp
3×associate-/l* unswap-sqr
2×cbrt-undiv rec-exp sqrt-pow1 flip3-+ 1-exp associate-*r/ pow-prod-down un-div-inv cbrt-unprod flip-+ div-inv
1×pow-flip frac-2neg pow1/2 clear-num sqrt-prod *-commutative distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 108
Calls
4 calls:
14.0ms
(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
11.0ms
(/ 1 (+ 1.0 x))
1.0ms
(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
44.0ms
(* (- 1.0 x) (/ 1 (+ 1.0 x)))

series136.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x))))
23.0ms
(/ 1 (+ 1.0 x))
2.0ms
(atan (sqrt (* (- 1.0 x) (/ 1 (+ 1.0 x)))))
30.0ms
(* (- 1.0 x) (/ 1 (+ 1.0 x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0430718
11907634
25001582

prune210.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
0148
1148

end0.0ms

sample758.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
202.0ms8416×body80nan