Details

Time bar (total: 3.3s)

sample322.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms250×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune4.0ms

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
(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))

rewrite46.0ms

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:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
17.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
23.0ms
(/ (- 1.0 x) (+ 1.0 x))

series143.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
91.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
48.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0354753
11071709
25001690

prune215.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
51×associate-*l*
46×times-frac
42×add-sqr-sqrt
25×distribute-lft-out
20×unpow-prod-down cube-prod
19×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
8×pow1 add-exp-log add-cbrt-cube
5×flip3-+ sqrt-div sum-cubes flip-+
4×frac-times associate-*r/
3×associate-*r* add-log-exp
2×sqrt-pow1 pow-prod-down associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in pow1/2 div-exp sqrt-prod *-commutative div-inv
Counts
3 → 99
Calls
3 calls:
1.0ms
(atan (sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
42.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
149.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series209.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(atan (sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))))
131.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
71.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify75.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06461470
126631352
250011349

prune307.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
150×add-sqr-sqrt
147×*-un-lft-identity
134×times-frac
87×sqrt-prod
73×add-cube-cbrt
41×associate-*r*
32×add-exp-log
27×associate-*l*
20×add-cbrt-cube
19×distribute-lft-out
15×distribute-lft-out-- difference-of-squares unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/ associate-/l*
6×cbrt-undiv
5×flip3-+ flip-+
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 238
Calls
4 calls:
7.0ms
(sqrt (+ 1.0 x))
13.0ms
(/ 1 (sqrt (+ 1.0 x)))
22.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
86.0ms
(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ 1.0 x))
54.0ms
(/ 1 (sqrt (+ 1.0 x)))
91.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
33.0ms
(* (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))))

simplify87.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07522246
135671958
250011833

prune466.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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
02314
12314

end0.0ms

sample760.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid
203.0ms8045×body80nan