Details

Time bar (total: 14.3s)

sample212.0ms

Algorithm
intervals
Results
63.0ms52×body1280valid
47.0ms60×body10240exit
39.0ms359×body80valid
23.0ms48×body640valid
4.0ms12×body320valid
2.0ms13×body160valid

simplify31.0ms

Counts
1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.2b

localize87.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 eps) x)
0.0b
(/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x)))
0.0b
(exp (* (- 1.0 eps) x))
2.9b
(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))

rewrite588.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
84×times-frac
65×add-sqr-sqrt
25×add-cube-cbrt
23×distribute-lft-out--
10×distribute-lft-out add-log-exp difference-of-squares
8×add-cbrt-cube
7×add-exp-log
6×pow1
5×associate-*l*
4×associate-/l*
3×associate-*r* associate-/r* div-inv
2×flip3-- exp-to-pow diff-log div-sub associate-*l/ flip-- associate-/l/
1×cbrt-undiv sub-neg exp-prod distribute-rgt-out-- frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod flip-+ rem-exp-log sub-div associate--r- unswap-sqr
Counts
4 → 107
Calls
4 calls:
22.0ms
(* (- 1.0 eps) x)
61.0ms
(/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x)))
10.0ms
(exp (* (- 1.0 eps) x))
487.0ms
(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))

series456.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (- 1.0 eps) x)
62.0ms
(/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x)))
35.0ms
(exp (* (- 1.0 eps) x))
308.0ms
(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))

simplify60.0ms

Counts
119 → 119

prune565.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))
0.1b
(* (pow x 2) (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity associate-*r/
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×sub-neg associate-*r* prod-exp
2×pow1 distribute-rgt-in flip3-- distribute-lft-in frac-sub flip-- unpow2 sqr-pow
1×pow-to-exp diff-log pow-exp *-commutative cbrt-unprod
Counts
2 → 47
Calls
2 calls:
17.0ms
(- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))
104.0ms
(* (pow x 2) (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))

series194.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))
151.0ms
(* (pow x 2) (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))

simplify119.0ms

Counts
53 → 53

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt x) 2)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 55
Calls
4 calls:
6.0ms
(pow (cbrt x) 2)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
299.0ms
(pow (cbrt x) 2)
282.0ms
(cbrt x)
287.0ms
(cbrt x)
296.0ms
(cbrt x)

simplify51.0ms

Counts
67 → 67

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
0.2b
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
0.2b
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
0.8b
(* (cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))) (cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*r/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
11.0ms
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
11.0ms
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
13.0ms
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
132.0ms
(* (cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))) (cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
216.0ms
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
206.0ms
(cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0)))
263.0ms
(* (cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))) (cbrt (- (* x (/ 3002399751580331.0 9007199254740992.0)) (/ 1.0 2.0))))

simplify64.0ms

Counts
109 → 109

prune729.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

regimes138.0ms

Accuracy

92.8% (1.2b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 16.8b

bsearch174.0ms

Steps
ItersRangePoint
7
7.705379630644969e-17
8.69103209592137e-15
8.501320620640499e-15

simplify68.0ms

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.3s9945×body80valid
2.1s1949×body10240exit
1.9s1754×body1280valid
639.0ms1251×body640valid
226.0ms612×body320valid
69.0ms343×body160valid