Details

Time bar (total: 14.4s)

sample44.0ms

Algorithm
intervals
Results
16.0ms72×body640valid
7.0ms123×body80valid
6.0ms37×body320valid
3.0ms24×body160valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize15.0ms

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)))

rewrite296.0ms

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:
11.0ms
(/ 1.0 (- x 1.0))
18.0ms
(/ 1.0 (+ x 1.0))
189.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series403.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ 1.0 (- x 1.0))
47.0ms
(/ 1.0 (+ x 1.0))
296.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.5s

Counts
513 → 513
Iterations

Useful iterations: done (2.5s)

IterNodesCost
052524322
1119421760
2266016242
done500212452

prune608.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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))

rewrite87.0ms

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:
41.0ms
(+ (/ 2.0 (* x x)) (/ 2.0 (pow x 4)))
14.0ms
(/ 2.0 (pow x 6))
15.0ms
(/ 2.0 (* x x))
12.0ms
(/ 2.0 (pow x 4))

series306.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(+ (/ 2.0 (* x x)) (/ 2.0 (pow x 4)))
72.0ms
(/ 2.0 (pow x 6))
41.0ms
(/ 2.0 (* x x))
55.0ms
(/ 2.0 (pow x 4))

simplify1.6s

Counts
152 → 152
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02171559
14331423
212001321
done50001265

prune529.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite160.0ms

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:
117.0ms
(+ (/ (/ 2.0 x) x) (/ 2.0 (pow x 4)))
18.0ms
(/ (/ 2.0 x) x)
7.0ms
(/ 2.0 (pow x 6))
8.0ms
(/ 2.0 (pow x 4))

series366.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(+ (/ (/ 2.0 x) x) (/ 2.0 (pow x 4)))
60.0ms
(/ (/ 2.0 x) x)
72.0ms
(/ 2.0 (pow x 6))
60.0ms
(/ 2.0 (pow x 4))

simplify1.4s

Counts
237 → 237
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03072234
16342060
214481883
done50001863

prune900.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

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))

rewrite12.0ms

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)
1.0ms
(cbrt x)
7.0ms
(/ 2.0 (pow x 4))

series1.3s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt x)
683.0ms
(cbrt x)
257.0ms
(cbrt x)
39.0ms
(/ 2.0 (pow x 4))

simplify1.9s

Counts
98 → 98
Iterations

Useful iterations: 3 (349.0ms)

IterNodesCost
0108731
1179674
2420632
31164609
done5001609

prune499.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

99.8% (0.1b remaining)

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

bsearch130.0ms

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

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03597
14880
done4880

end0.0ms

sample1.1s

Algorithm
intervals
Results
357.0ms1974×body640valid
304.0ms1181×body320valid
226.0ms4256×body80valid
70.0ms589×body160valid