Details

Time bar (total: 31.1s)

sample139.0ms

Algorithm
intervals
Results
68.0ms106×body1280valid
33.0ms83×body640valid
14.0ms263×body80nan
9.0ms36×body320valid
3.0ms23×body160valid
1.0ms8×body80valid

simplify49.0ms

Calls
1 calls:
Slowest
49.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize10.0ms

Local error

Found 2 expressions with local error:

5.9b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×log-prod
7×add-exp-log
4×add-cbrt-cube associate-/r/
3×pow1 associate-/r* associate-/l*
2×expm1-log1p-u flip3-+ div-exp rem-log-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-sub log-pow flip--
Calls
2 calls:
Slowest
6.0ms
(/ (- 1 eps) (+ 1 eps))
3.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series91.0ms

Calls
2 calls:
Slowest
76.0ms
(log (/ (- 1 eps) (+ 1 eps)))
15.0ms
(/ (- 1 eps) (+ 1 eps))

simplify3.0s

Calls
54 calls:
Slowest
452.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
306.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
267.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
214.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
154.0ms
(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune520.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
0.0b
(* (fma -2/3 (* eps eps) -2) eps)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×*-commutative fma-udef
Calls
2 calls:
Slowest
7.0ms
(* (fma -2/3 (* eps eps) -2) eps)
1.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series79.0ms

Calls
2 calls:
Slowest
41.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
37.0ms
(* (fma -2/3 (* eps eps) -2) eps)

simplify1.6s

Calls
8 calls:
Slowest
387.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
383.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
371.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
158.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
157.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
0.0b
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
0.0b
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
0.0b
(* (fma -2/3 (* eps eps) -2) eps)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt pow1 *-un-lft-identity associate-*l* add-cube-cbrt
6×add-cbrt-cube associate-*r* add-exp-log sqrt-prod
4×expm1-log1p-u pow1/2 insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down *-commutative pow-prod-up fma-udef
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp cbrt-unprod
Calls
4 calls:
Slowest
13.0ms
(* (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
6.0ms
(* (fma -2/3 (* eps eps) -2) eps)
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series172.0ms

Calls
4 calls:
Slowest
55.0ms
(* (fma -2/3 (* eps eps) -2) eps)
43.0ms
(* (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
38.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
36.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

simplify7.5s

Calls
36 calls:
Slowest
825.0ms
(* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
712.0ms
(* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
476.0ms
(* (* (* (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))) (* (* (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))) (sqrt (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))))
427.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
393.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune863.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

39.7b
(cbrt (* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
0.1b
(* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
0.0b
(* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
0.0b
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
11×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus associate-*r* pow-prod-up
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow2
2×distribute-rgt-in distribute-lft-in pow3 *-commutative
1×cbrt-prod pow1/3 rem-cbrt-cube
Calls
4 calls:
Slowest
25.0ms
(* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
16.0ms
(cbrt (* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
9.0ms
(* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series135.0ms

Calls
4 calls:
Slowest
38.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
37.0ms
(* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
35.0ms
(* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
25.0ms
(cbrt (* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))

simplify10.1s

Calls
49 calls:
Slowest
892.0ms
(* (* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
701.0ms
(cbrt (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
679.0ms
(* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)))
585.0ms
(* (* (fma -2/3 (* eps eps) -2) eps) (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))))
428.0ms
(* (* (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps)) (fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))) (* (fma -2/3 (* eps eps) -2) eps))

prune683.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.1s3464×body1280valid
1.3s2497×body640valid
550.0ms7905×body80nan
343.0ms1216×body320valid
134.0ms613×body160valid
16.0ms210×body80valid