Details

Time bar (total: 27.0s)

sample172.0ms

Algorithm
intervals
Results
101.0ms132×body1280valid
27.0ms56×body640valid
16.0ms259×body80nan
11.0ms38×body320valid
3.0ms19×body160valid
1.0ms11×body80valid

simplify51.0ms

Calls
1 calls:
Slowest
51.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize13.0ms

Local error

Found 2 expressions with local error:

5.8b
(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)))

series130.0ms

Calls
2 calls:
Slowest
98.0ms
(log (/ (- 1 eps) (+ 1 eps)))
32.0ms
(/ (- 1 eps) (+ 1 eps))

simplify3.1s

Calls
54 calls:
Slowest
441.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
341.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
250.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
234.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
174.0ms
(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune574.0ms

Pruning

2 alts after pruning (2 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))

rewrite14.0ms

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
13.0ms
(* (fma -2/3 (* eps eps) -2) eps)
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series241.0ms

Calls
2 calls:
Slowest
144.0ms
(* (fma -2/3 (* eps eps) -2) eps)
97.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

simplify1.7s

Calls
8 calls:
Slowest
432.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
390.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
382.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
164.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
161.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
0.6b
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
0.6b
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
0.5b
(* (cbrt (* (fma -2/3 (* eps eps) -2) eps)) (cbrt (* (fma -2/3 (* eps eps) -2) eps)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
7×pow1/3
6×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
5×cbrt-prod
4×expm1-log1p-u add-cbrt-cube associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
10.0ms
(* (cbrt (* (fma -2/3 (* eps eps) -2) eps)) (cbrt (* (fma -2/3 (* eps eps) -2) eps)))
2.0ms
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
2.0ms
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
2.0ms
(cbrt (* (fma -2/3 (* eps eps) -2) eps))

series798.0ms

Calls
4 calls:
Slowest
214.0ms
(* (cbrt (* (fma -2/3 (* eps eps) -2) eps)) (cbrt (* (fma -2/3 (* eps eps) -2) eps)))
211.0ms
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
195.0ms
(cbrt (* (fma -2/3 (* eps eps) -2) eps))
178.0ms
(cbrt (* (fma -2/3 (* eps eps) -2) eps))

simplify4.6s

Calls
31 calls:
Slowest
424.0ms
(- (+ (/ (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps))))))) (/ (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps)))))) (pow eps 4)))
396.0ms
(- (+ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 4/9) (* 6 (log (/ -1 eps))))))) (* 2 (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 4/9) (* 6 (log (/ -1 eps))))))) (pow eps 2)))) (/ (* (pow (cbrt -1) 2) (exp (* 1/3 (- (log 4/9) (* 6 (log (/ -1 eps))))))) (pow eps 4)))
358.0ms
(- (+ (/ (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps))))))) (/ (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps)))))) (pow eps 4)))
343.0ms
(- (+ (/ (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps))))))) (/ (exp (* 1/3 (- (log -2/3) (* 3 (log (/ 1 eps)))))) (pow eps 4)))
263.0ms
(- (+ (* 1/9 (* (pow eps 2) (exp (* 1/3 (+ (log -2) (log eps)))))) (exp (* 1/3 (+ (log -2) (log eps))))) (* 1/81 (* (pow eps 4) (exp (* 1/3 (+ (log -2) (log eps)))))))

prune908.0ms

Pruning

5 alts after pruning (3 fresh and 2 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 -2/3 (* eps eps) -2) eps)
0.0b
(* (fma -2/3 (* eps eps) -2) eps)
0.0b
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l*
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
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
3×*-commutative
2×pow-prod-down pow-prod-up
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp cbrt-unprod fma-udef
Calls
4 calls:
Slowest
12.0ms
(* (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)
6.0ms
(* (fma -2/3 (* eps eps) -2) eps)
0.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

series426.0ms

Calls
4 calls:
Slowest
141.0ms
(* (fma -2/3 (* eps eps) -2) eps)
125.0ms
(* (fma -2/3 (* eps eps) -2) eps)
86.0ms
(* (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))))
74.0ms
(fma (pow eps 5) -2/5 (* (fma -2/3 (* eps eps) -2) eps))

simplify6.8s

Calls
38 calls:
Slowest
843.0ms
(* (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)))
720.0ms
(* (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)))
427.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
401.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
388.0ms
(* (* (* (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)))))

prune998.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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
3.4s3506×body1280valid
1.3s2379×body640valid
646.0ms8107×body80nan
432.0ms1312×body320valid
151.0ms606×body160valid
16.0ms197×body80valid