Details

Time bar (total: 11.8s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0711
11111
21211
done1211

prune1.0ms

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
45.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series187.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ x (+ x 1.0))
125.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms
(/ 1.0 (- x 1.0))

simplify1.6s

Counts
123 → 123
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01751183
13981098
210071042
326201038
done50001037

prune237.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
8×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
4×associate-/r/ distribute-lft-out difference-of-squares
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×flip3-- flip3-+ flip-- flip-+ fma-udef
Counts
3 → 80
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
0.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (+ x 1.0))
131.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
51.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.1s

Counts
89 → 89
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01691252
13711196
210441088
338701068
done50001067

prune209.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (cbrt (pow (/ x (+ x 1.0)) 3)))
0.1b
(pow (/ x (+ x 1.0)) 3)
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
17.3b
(cbrt (pow (/ x (+ x 1.0)) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
60×times-frac
47×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
12×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
4×expm1-log1p-u flip3-+ associate-/r* flip-+ log1p-expm1-u add-log-exp difference-of-squares
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 clear-num flip-- rem-cbrt-cube fma-udef
Counts
4 → 157
Calls
4 calls:
0.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (cbrt (pow (/ x (+ x 1.0)) 3)))
7.0ms
(pow (/ x (+ x 1.0)) 3)
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms
(cbrt (pow (/ x (+ x 1.0)) 3))

series278.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (cbrt (pow (/ x (+ x 1.0)) 3)))
58.0ms
(pow (/ x (+ x 1.0)) 3)
47.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
50.0ms
(cbrt (pow (/ x (+ x 1.0)) 3))

simplify895.0ms

Counts
169 → 169
Iterations

Useful iterations: 2 (466.0ms)

IterNodesCost
02672759
16742281
221172043
done50002043

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b
(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.1b
(pow (/ x (+ x 1.0)) 3)
0.2b
(pow (/ 1.0 (- x 1.0)) 3)

rewrite474.0ms

Algorithm
rewrite-expression-head
Rules
1829×*-un-lft-identity
1669×times-frac
1412×add-sqr-sqrt
1134×prod-diff
1047×add-cube-cbrt
380×distribute-rgt-in distribute-lft-in
246×associate-/r/
205×distribute-lft-out
182×distribute-lft-out--
176×difference-of-squares
123×div-inv
67×flip3-+ flip-+
59×flip3-- flip--
39×unpow-prod-down cube-prod
18×fma-neg associate-*l*
15×add-exp-log add-cbrt-cube
12×associate-*r*
8×pow1
6×pow-unpow add-log-exp
4×expm1-log1p-u pow-exp log1p-expm1-u rem-cube-cbrt
3×cbrt-undiv frac-times sub-neg associate-*r/ div-exp frac-sub
2×cube-div cube-mult pow-to-exp pow-pow unpow3 prod-exp cbrt-unprod unswap-sqr sqr-pow
1×diff-log pow-prod-down associate-*l/ *-commutative
Counts
4 → 1356
Calls
4 calls:
222.0ms
(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
64.0ms
(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
7.0ms
(pow (/ x (+ x 1.0)) 3)
11.0ms
(pow (/ 1.0 (- x 1.0)) 3)

series313.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
88.0ms
(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
58.0ms
(pow (/ x (+ x 1.0)) 3)
48.0ms
(pow (/ 1.0 (- x 1.0)) 3)

simplify1.7s

Counts
1368 → 1368
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0123481112
1343868793
done500168376

prune2.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11321
done1321

end0.0ms

sample266.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid