Details

Time bar (total: 10.3s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
23×times-frac
21×fma-def
16×add-sqr-sqrt
10×add-cube-cbrt
7×distribute-lft-out
5×distribute-lft-out--
3×add-log-exp difference-of-squares
2×associate-/r/
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ flip3-- add-cbrt-cube frac-add add-exp-log flip-+ log1p-expm1-u div-inv flip--
Counts
1 → 40
Calls
1 calls:
64.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series164.0ms

Counts
1 → 3
Calls
1 calls:
164.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.3s

Counts
43 → 43
Iterations
IterNodes
done5000
44141
31252
2451
1158
051

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
5×add-cbrt-cube add-exp-log add-log-exp difference-of-squares
4×associate-/r*
3×expm1-log1p-u pow1 log1p-expm1-u associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-exp prod-diff fma-udef div-inv
Counts
3 → 62
Calls
3 calls:
12.0ms
(- (* x x) (* 1.0 1.0))
0.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
15.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (* x x) (* 1.0 1.0))
167.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
79.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.0s

Counts
71 → 71
Iterations
IterNodes
done5003
21043
1317
0126

prune293.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite988.0ms

Algorithm
rewrite-expression-head
Rules
144×cbrt-div
139×*-un-lft-identity
81×frac-times
77×times-frac
63×fma-def
53×add-sqr-sqrt
51×flip3-+ frac-add flip-+
33×add-cube-cbrt
28×distribute-lft-out
27×associate-*l/
23×pow1
17×distribute-lft-out--
15×associate-*r/
11×associate-*r*
10×add-log-exp
9×cbrt-prod pow1/3 add-exp-log pow-prod-up difference-of-squares
6×pow-plus associate-/r/
5×add-cbrt-cube pow-prod-down
4×expm1-log1p-u log1p-expm1-u
3×+-commutative sum-log flip3-- prod-exp pow-sqr cbrt-unprod div-inv flip--
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 225
Calls
4 calls:
739.0ms
(* (* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
73.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
65.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
95.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series622.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
137.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
176.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
134.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify2.2s

Counts
237 → 237
Iterations
IterNodes
done5001
32694
21211
1481
0216

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample837.0ms

Algorithm
intervals
Results
696.0ms8000×body80valid