Details

Time bar (total: 38.9s)

sample216.0ms

Algorithm
intervals
Results
112.0ms120×body1280valid
42.0ms72×body640valid
25.0ms257×body80nan
14.0ms35×body320valid
7.0ms25×body160valid
1.0ms4×body80valid

simplify167.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
167.0ms
(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize24.0ms

Local error

Found 2 expressions with local error:

6.7b
(log (/ (+ x 1) (- 1 x)))
0.0b
(/ (+ x 1) (- 1 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
52×add-sqr-sqrt
48×times-frac
30×log-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
7×add-exp-log
6×associate-/r*
4×add-cbrt-cube associate-/r/ associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 97
Calls
2 calls:
Slowest
19.0ms
(/ (+ x 1) (- 1 x))
8.0ms
(log (/ (+ x 1) (- 1 x)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
105.0ms
(log (/ (+ x 1) (- 1 x)))
37.0ms
(/ (+ x 1) (- 1 x))

simplify4.9s

Counts
101 → 103
Calls
101 calls:
Slowest
731.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
562.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
356.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
348.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
341.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune584.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (fma 2/3 (* x x) 2))
0.0b
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
Slowest
6.0ms
(* x (fma 2/3 (* x x) 2))
0.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

series218.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
129.0ms
(* x (fma 2/3 (* x x) 2))
88.0ms
(fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))

simplify2.4s

Counts
18 → 40
Calls
18 calls:
Slowest
758.0ms
(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
408.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
290.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
259.0ms
(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
186.0ms
(+ (* 2 x) (* 2/3 (pow x 3)))

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

6.7b
(log (/ (+ x 1) (- 1 x)))
6.7b
(log (/ (+ x 1) (- 1 x)))
6.7b
(log (/ (+ x 1) (- 1 x)))
0.1b
(* (cbrt (log (/ (+ x 1) (- 1 x)))) (cbrt (log (/ (+ x 1) (- 1 x)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
90×log-prod
89×add-sqr-sqrt
72×times-frac
45×add-cube-cbrt
24×cbrt-prod difference-of-squares
20×pow1
18×distribute-lft-out
15×add-exp-log
12×distribute-lft-out--
9×swap-sqr log-pow
7×associate-*r* associate-*l*
6×pow1/3 rem-log-exp associate-/r/
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×log-div flip3-- div-exp div-inv flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
Slowest
13.0ms
(log (/ (+ x 1) (- 1 x)))
12.0ms
(* (cbrt (log (/ (+ x 1) (- 1 x)))) (cbrt (log (/ (+ x 1) (- 1 x)))))
11.0ms
(log (/ (+ x 1) (- 1 x)))
9.0ms
(log (/ (+ x 1) (- 1 x)))

series590.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
296.0ms
(* (cbrt (log (/ (+ x 1) (- 1 x)))) (cbrt (log (/ (+ x 1) (- 1 x)))))
119.0ms
(log (/ (+ x 1) (- 1 x)))
89.0ms
(log (/ (+ x 1) (- 1 x)))
86.0ms
(log (/ (+ x 1) (- 1 x)))

simplify10.2s

Counts
163 → 192
Calls
163 calls:
Slowest
476.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
388.0ms
(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
388.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
384.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
379.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

6.7b
(log (/ (+ x 1) (- 1 x)))
6.7b
(log (/ (+ x 1) (- 1 x)))
0.6b
(cbrt (fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2))))
0.1b
(cbrt (log (/ (+ x 1) (- 1 x))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
60×log-prod
52×add-sqr-sqrt
48×times-frac
28×add-cube-cbrt
16×difference-of-squares
12×distribute-lft-out
10×add-exp-log
8×distribute-lft-out--
7×cbrt-prod pow1
4×expm1-log1p-u add-cbrt-cube rem-log-exp associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×log-pow
2×log-div flip3-- pow1/3 div-exp div-inv flip--
Counts
4 → 117
Calls
4 calls:
Slowest
7.0ms
(log (/ (+ x 1) (- 1 x)))
7.0ms
(log (/ (+ x 1) (- 1 x)))
1.0ms
(cbrt (log (/ (+ x 1) (- 1 x))))
1.0ms
(cbrt (fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2))))

series724.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
311.0ms
(cbrt (log (/ (+ x 1) (- 1 x))))
226.0ms
(cbrt (fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2))))
102.0ms
(log (/ (+ x 1) (- 1 x)))
85.0ms
(log (/ (+ x 1) (- 1 x)))

simplify7.5s

Counts
85 → 129
Calls
85 calls:
Slowest
405.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
403.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
376.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
376.0ms
(cbrt (sqrt (fma 2/5 (pow x 5) (* x (fma 2/3 (* x x) 2)))))
358.0ms
(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample7.9s

Algorithm
intervals
Results
3.9s3398×body1280valid
2.0s2539×body640valid
985.0ms7749×body80nan
503.0ms1242×body320valid
243.0ms641×body160valid
21.0ms180×body80valid