Details

Time bar (total: 25.2s)

sample172.0ms

Algorithm
intervals
Results
79.0ms106×body1280valid
35.0ms79×body640valid
28.0ms283×body80nan
11.0ms41×body320valid
4.0ms23×body160valid
1.0ms7×body80valid

simplify45.0ms

Calls
1 calls:
Slowest
45.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize10.0ms

Local error

Found 2 expressions with local error:

7.2b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite6.0ms

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
3.0ms
(/ (- 1 eps) (+ 1 eps))
2.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series112.0ms

Calls
2 calls:
Slowest
95.0ms
(log (/ (- 1 eps) (+ 1 eps)))
16.0ms
(/ (- 1 eps) (+ 1 eps))

simplify3.1s

Calls
54 calls:
Slowest
527.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
354.0ms
(- (+ (* 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)))))
186.0ms
(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune516.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite4.0ms

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
3.0ms
(* (fma -2/3 (* eps eps) -2) eps)
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series73.0ms

Calls
2 calls:
Slowest
39.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))
34.0ms
(* (fma -2/3 (* eps eps) -2) eps)

simplify1.8s

Calls
8 calls:
Slowest
416.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
387.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
382.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
174.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
174.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune308.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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))
0.5b
(* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) eps))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod pow1 add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* associate-*l* *-commutative
Calls
4 calls:
Slowest
19.0ms
(* (* (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))

series391.0ms

Calls
4 calls:
Slowest
131.0ms
(cbrt (fma -2/3 (* eps eps) -2))
115.0ms
(cbrt (fma -2/3 (* eps eps) -2))
105.0ms
(cbrt (fma -2/3 (* eps eps) -2))
40.0ms
(* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) eps))

simplify5.1s

Calls
28 calls:
Slowest
567.0ms
(* (* (* (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2))) (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2)))) (* (cbrt (fma -2/3 (* eps eps) -2)) (cbrt (fma -2/3 (* eps eps) -2)))) (* (* (* (cbrt (fma -2/3 (* eps eps) -2)) eps) (* (cbrt (fma -2/3 (* eps eps) -2)) eps)) (* (cbrt (fma -2/3 (* eps eps) -2)) eps)))
530.0ms
(* (* (fma -2/3 (* eps eps) -2) (fma -2/3 (* eps eps) -2)) (* (* (* (cbrt (fma -2/3 (* eps eps) -2)) eps) (* (cbrt (fma -2/3 (* eps eps) -2)) eps)) (* (cbrt (fma -2/3 (* eps eps) -2)) eps)))
411.0ms
(- (+ (pow -2 1/3) (* 1/9 (* (pow eps 2) (pow -2 1/3)))) (* 1/81 (* (pow eps 4) (pow -2 1/3))))
411.0ms
(- (+ (pow -2 1/3) (* 1/9 (* (pow eps 2) (pow -2 1/3)))) (* 1/81 (* (pow eps 4) (pow -2 1/3))))
360.0ms
(- (+ (/ (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)))

prune680.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

7.2b
(log (/ (- 1 eps) (+ 1 eps)))
7.2b
(log (/ (- 1 eps) (+ 1 eps)))
7.2b
(log (/ (- 1 eps) (+ 1 eps)))
0.1b
(cbrt (log (/ (- 1 eps) (+ 1 eps))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
45×log-prod
27×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-exp-log
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod expm1-log1p-u add-cbrt-cube log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-div flip3-+ div-exp flip-+ div-inv
1×pow1/3
Calls
4 calls:
Slowest
3.0ms
(log (/ (- 1 eps) (+ 1 eps)))
2.0ms
(cbrt (log (/ (- 1 eps) (+ 1 eps))))
2.0ms
(log (/ (- 1 eps) (+ 1 eps)))
2.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series378.0ms

Calls
4 calls:
Slowest
152.0ms
(cbrt (log (/ (- 1 eps) (+ 1 eps))))
90.0ms
(log (/ (- 1 eps) (+ 1 eps)))
76.0ms
(log (/ (- 1 eps) (+ 1 eps)))
60.0ms
(log (/ (- 1 eps) (+ 1 eps)))

simplify5.6s

Calls
70 calls:
Slowest
475.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
387.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
366.0ms
(+ (* 22/405 (* (pow eps 4) (exp (* 1/3 (+ (log -2) (log eps)))))) (+ (* 1/9 (* (pow eps 2) (exp (* 1/3 (+ (log -2) (log eps)))))) (exp (* 1/3 (+ (log -2) (log eps))))))
278.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
235.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune681.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.3s3422×body1280valid
1.3s2517×body640valid
639.0ms8022×body80nan
419.0ms1198×body320valid
151.0ms641×body160valid
20.0ms222×body80valid