Details

Time bar (total: 24.5s)

sample172.0ms

Algorithm
intervals
Results
92.0ms120×body1280valid
38.0ms79×body640valid
17.0ms257×body80nan
9.0ms31×body320valid
3.0ms19×body160valid
0.0msbody80valid

simplify54.0ms

Calls
1 calls:
Slowest
54.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize10.0ms

Local error

Found 2 expressions with local error:

6.0b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×log-prod
add-exp-log
add-cbrt-cube associate-/r/
pow1 associate-/r* associate-/l*
expm1-log1p-u flip3-+ div-exp rem-log-exp flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
cbrt-undiv log-div clear-num frac-2neg flip3-- div-sub log-pow flip--
Calls
2 calls:
Slowest
6.0ms
(/ (- 1 eps) (+ 1 eps))
2.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series129.0ms

Calls
2 calls:
Slowest
102.0ms
(log (/ (- 1 eps) (+ 1 eps)))
27.0ms
(/ (- 1 eps) (+ 1 eps))

simplify2.8s

Calls
54 calls:
Slowest
422.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
360.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
254.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
211.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
135.0ms
(- (+ (* 2 (pow eps 2)) 1) (* 2 eps))

prune626.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
*-commutative fma-udef
Calls
2 calls:
Slowest
6.0ms
(* (fma -2/3 (* eps eps) -2) eps)
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series228.0ms

Calls
2 calls:
Slowest
150.0ms
(* (fma -2/3 (* eps eps) -2) eps)
77.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

simplify2.0s

Calls
8 calls:
Slowest
715.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
392.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
389.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
178.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
149.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune261.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

41.9b
(cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)))
0.1b
(* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps))
0.0b
(* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps))
0.0b
(* (fma -2/3 (* eps eps) -2) eps)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
11×add-cbrt-cube add-exp-log
pow-plus pow-prod-up
add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
pow2 *-commutative
associate-*r* pow3
cbrt-prod pow1/3 rem-cbrt-cube
Calls
4 calls:
Slowest
54.0ms
(* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps))
48.0ms
(cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)))
15.0ms
(* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps))
6.0ms
(* (fma -2/3 (* eps eps) -2) eps)

series572.0ms

Calls
4 calls:
Slowest
202.0ms
(cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)))
144.0ms
(* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps))
137.0ms
(* (fma -2/3 (* eps eps) -2) eps)
88.0ms
(* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps))

simplify5.7s

Calls
40 calls:
Slowest
793.0ms
(* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps))
642.0ms
(* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps))
418.0ms
(- (+ (* 8/3 (pow eps 7)) (+ (* 8 (pow eps 3)) (* 8 (pow eps 5)))))
319.0ms
(* (* (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps))) (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps))) (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)))
297.0ms
(* (* (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)) (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps))) (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (fma -2/3 (* eps eps) -2) eps)))

prune737.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

41.9b
(cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) eps))))
1.0b
(cbrt (fma -2/3 (* eps eps) -2))
1.0b
(cbrt (fma -2/3 (* eps eps) -2))
1.0b
(cbrt (fma -2/3 (* eps eps) -2))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
74.0ms
(cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) eps))))
1.0ms
(cbrt (fma -2/3 (* eps eps) -2))
1.0ms
(cbrt (fma -2/3 (* eps eps) -2))
1.0ms
(cbrt (fma -2/3 (* eps eps) -2))

series603.0ms

Calls
4 calls:
Slowest
168.0ms
(cbrt (* (* (* (fma -2/3 (* eps eps) -2) eps) (* (fma -2/3 (* eps eps) -2) eps)) (* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) eps))))
151.0ms
(cbrt (fma -2/3 (* eps eps) -2))
145.0ms
(cbrt (fma -2/3 (* eps eps) -2))
138.0ms
(cbrt (fma -2/3 (* eps eps) -2))

simplify3.7s

Calls
22 calls:
Slowest
427.0ms
(- (+ (/ (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps))))))) (/ (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps)))))) (pow eps 4)))
408.0ms
(- (+ (pow -2 1/3) (* 1/9 (* (pow eps 2) (pow -2 1/3)))) (* 1/81 (* (pow eps 4) (pow -2 1/3))))
352.0ms
(- (+ (/ (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps))))))) (/ (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps)))))) (pow eps 4)))
342.0ms
(- (+ (/ (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps))))))) (/ (exp (* 1/3 (- (log -2/3) (* 2 (log (/ 1 eps)))))) (pow eps 4)))
313.0ms
(- (+ (pow -2 1/3) (* 1/9 (* (pow eps 2) (pow -2 1/3)))) (* 1/81 (* (pow eps 4) (pow -2 1/3))))

prune763.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.7s3429×body1280valid
1.2s2544×body640valid
730.0ms1183×body320valid
616.0ms8010×body80nan
166.0ms642×body160valid
17.0ms202×body80valid