Details

Time bar (total: 3.0s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
43.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))

series180.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
36.0ms
(/ x (+ x 1.0))
28.0ms
(/ 1.0 (- x 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0379534
11365507
25001502

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
59×times-frac
37×add-sqr-sqrt
32×distribute-lft-out
29×add-cube-cbrt
22×cbrt-prod
16×unpow-prod-down cube-prod
12×distribute-lft-out--
9×add-exp-log associate-/r* add-cbrt-cube
6×cube-div associate-/l*
5×pow1
4×associate-/r/ add-log-exp difference-of-squares
3×pow-unpow cbrt-div flip3-+ flip-+
2×cbrt-undiv cube-mult frac-2neg unpow3 div-exp frac-add clear-num div-inv sqr-pow
1×pow-to-exp flip3-- pow-pow pow1/3 pow-exp flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 140
Calls
4 calls:
69.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
5.0ms
(/ x (+ x 1.0))
6.0ms
(/ 1.0 (- x 1.0))
73.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series373.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
36.0ms
(/ x (+ x 1.0))
27.0ms
(/ 1.0 (- x 1.0))
178.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify68.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05471041
12300990
25001984

prune264.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(pow (+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0))))) 3)
3.3b
(log (exp (/ x (+ x 1.0))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
43×add-sqr-sqrt
39×times-frac
35×add-cube-cbrt
21×log-pow
18×exp-prod
11×distribute-lft-out
9×add-exp-log associate-/r* add-cbrt-cube
8×pow1
6×associate-/r/ associate-/l*
5×unpow-prod-down cube-prod
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow-unpow log-prod flip3-+ flip-+ div-inv
2×cbrt-undiv cube-div frac-2neg div-exp clear-num
1×cube-mult pow-to-exp flip3-- pow-pow unpow3 rem-log-exp pow-exp flip-- rem-cube-cbrt sqr-pow
Counts
4 → 129
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
117.0ms
(pow (+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0))))) 3)
12.0ms
(log (exp (/ x (+ x 1.0))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x (+ x 1.0))
28.0ms
(/ 1.0 (- x 1.0))
175.0ms
(pow (+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0))))) 3)
37.0ms
(log (exp (/ x (+ x 1.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0490883
11987759
25001751

prune345.0ms

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
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
0.0b
(/ 1.0 (- x 1.0))
0.1b
(/ 1 (/ (+ x 1.0) x))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
106×*-un-lft-identity
70×add-sqr-sqrt
62×add-cube-cbrt
21×associate-/r*
16×add-exp-log distribute-lft-out
10×add-cbrt-cube
8×div-exp
7×div-inv
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1 cbrt-undiv difference-of-squares
3×associate-/r/
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative flip3-- pow-flip flip3-+ frac-add sum-log flip-- flip-+ inv-pow
Counts
3 → 141
Calls
3 calls:
70.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ 1.0 (- x 1.0))
9.0ms
(/ 1 (/ (+ x 1.0) x))

series188.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
28.0ms
(/ 1.0 (- x 1.0))
37.0ms
(/ 1 (/ (+ x 1.0) x))

simplify64.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05901033
12660844
25001835

prune200.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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
0149
1149

end0.0ms

sample276.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid