Details

Time bar (total: 14.7s)

sample37.0ms

Algorithm
intervals
Results
13.0ms72×body640valid
6.0ms123×body80valid
5.0ms37×body320valid
2.0ms24×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
3.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
662×*-un-lft-identity
589×times-frac
496×add-sqr-sqrt
378×prod-diff
368×add-cube-cbrt
86×associate-/r/
79×distribute-lft-out--
76×distribute-lft-out
62×difference-of-squares
44×div-inv
24×flip-+
23×flip3-+
21×flip--
20×flip3--
18×fma-neg
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub
Counts
3 → 504
Calls
3 calls:
12.0ms
(/ 1.0 (- x 1.0))
12.0ms
(/ 1.0 (+ x 1.0))
138.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series362.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ 1.0 (- x 1.0))
38.0ms
(/ 1.0 (+ x 1.0))
267.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.7s

Counts
513 → 513
Iterations

Useful iterations: done (2.7s)

IterNodesCost
052524322
1119421760
2266016242
done500212452

prune576.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 (* x x)) (/ 2.0 (pow x 4)))
0.2b
(/ 2.0 (pow x 6))
0.3b
(/ 2.0 (* x x))
0.7b
(/ 2.0 (pow x 4))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
42×*-un-lft-identity
40×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×add-exp-log
15×associate-/r*
13×add-cbrt-cube
9×associate-/l*
8×div-exp sqr-pow
7×fma-def
6×div-inv add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×pow-to-exp pow-exp distribute-lft-out
1×+-commutative flip3-+ frac-add prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 140
Calls
4 calls:
57.0ms
(+ (/ 2.0 (* x x)) (/ 2.0 (pow x 4)))
22.0ms
(/ 2.0 (pow x 6))
9.0ms
(/ 2.0 (* x x))
8.0ms
(/ 2.0 (pow x 4))

series296.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(+ (/ 2.0 (* x x)) (/ 2.0 (pow x 4)))
81.0ms
(/ 2.0 (pow x 6))
40.0ms
(/ 2.0 (* x x))
49.0ms
(/ 2.0 (pow x 4))

simplify1.9s

Counts
152 → 152
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02171559
14331423
212001321
done50001265

prune475.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (/ 2.0 x) x) (/ 2.0 (pow x 4)))
0.1b
(/ (/ 2.0 x) x)
0.2b
(/ 2.0 (pow x 6))
0.7b
(/ 2.0 (pow x 4))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
119×*-un-lft-identity
113×add-sqr-sqrt add-cube-cbrt
43×fma-def
24×unpow-prod-down
19×add-exp-log associate-/l*
17×associate-/r*
13×add-cbrt-cube
11×div-inv
9×div-exp
8×sqr-pow
6×add-log-exp
5×cbrt-undiv
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×pow-to-exp pow-exp distribute-lft-out
1×+-commutative flip3-+ frac-add sum-log flip-+ associate-/l/
Counts
4 → 225
Calls
4 calls:
112.0ms
(+ (/ (/ 2.0 x) x) (/ 2.0 (pow x 4)))
28.0ms
(/ (/ 2.0 x) x)
14.0ms
(/ 2.0 (pow x 6))
16.0ms
(/ 2.0 (pow x 4))

series269.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ (/ (/ 2.0 x) x) (/ 2.0 (pow x 4)))
29.0ms
(/ (/ 2.0 x) x)
53.0ms
(/ 2.0 (pow x 6))
62.0ms
(/ 2.0 (pow x 4))

simplify1.7s

Counts
237 → 237
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03072234
16342060
214481883
done50001863

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(/ 2.0 (pow x 4))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×times-frac
12×unpow-prod-down
9×add-exp-log cbrt-prod
7×associate-/r*
6×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow1/3 div-exp associate-/l*
1×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
14.0ms
(/ 2.0 (pow x 4))

series916.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt x)
291.0ms
(cbrt x)
305.0ms
(cbrt x)
48.0ms
(/ 2.0 (pow x 4))

simplify1.8s

Counts
98 → 98
Iterations

Useful iterations: 3 (359.0ms)

IterNodesCost
0108731
1179674
2420632
31164609
done5001609

prune544.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.3b

bsearch144.0ms

Steps
ItersRangePoint
10
8.937283511995443e-05
28405617999702.24
221.59345401764102
9
-7465.585501010854
-0.008005822963963436
-197.69595787734283

simplify13.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
03597
14880
done4880

end0.0ms

sample1.2s

Algorithm
intervals
Results
540.0ms1974×body640valid
197.0ms4256×body80valid
188.0ms1181×body320valid
51.0ms589×body160valid