Details

Time bar (total: 49.1s)

sample450.0ms

Algorithm
intervals
Results
64.0ms750×body80nan
24.0ms256×body80valid

simplify27.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
26.0ms
(- (log (- (/ 1 x) 1)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize456.0ms

Local error

Found 2 expressions with local error:

0.3b
(log (- (/ 1 x) 1))
0.0b
(- (/ 1 x) 1)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
62×*-un-lft-identity
48×times-frac
44×add-cube-cbrt
39×prod-diff
14×log-prod
13×fma-neg
12×difference-of-squares
8×add-exp-log
6×difference-of-sqr-1 div-inv
4×expm1-def distribute-lft-out-- add-log-exp
3×pow1
2×expm1-log1p-u log-div flip3-- add-cbrt-cube div-exp insert-posit16 log1p-expm1-u flip--
1×rec-exp sub-neg diff-log 1-exp rem-log-exp log-pow
Counts
2 → 110
Calls
2 calls:
Slowest
24.0ms
(- (/ 1 x) 1)
17.0ms
(log (- (/ 1 x) 1))

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
35.0ms
(log (- (/ 1 x) 1))
33.0ms
(- (/ 1 x) 1)

simplify4.7s

Counts
134 → 116
Calls
134 calls:
Slowest
204.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
164.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
154.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
127.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))
126.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (/ (cbrt 1) (cbrt x)) (- (* 1 1)))

prune768.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- (/ 1 x) 1))
0.8b
(cbrt (- (/ 1 x) 1))
0.8b
(cbrt (- (/ 1 x) 1))
0.4b
(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
144×add-sqr-sqrt
126×cbrt-prod
104×*-un-lft-identity
50×times-frac
48×difference-of-squares
29×swap-sqr
27×difference-of-sqr-1
22×distribute-lft-out--
18×cbrt-div
17×associate-*r* associate-*l*
15×add-cube-cbrt
11×pow1 div-inv
9×flip3-- pow1/3 flip--
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 177
Calls
4 calls:
Slowest
88.0ms
(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))
12.0ms
(cbrt (- (/ 1 x) 1))
11.0ms
(cbrt (- (/ 1 x) 1))
11.0ms
(cbrt (- (/ 1 x) 1))

series301.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(cbrt (- (/ 1 x) 1))
75.0ms
(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))
71.0ms
(cbrt (- (/ 1 x) 1))
66.0ms
(cbrt (- (/ 1 x) 1))

simplify9.6s

Counts
184 → 189
Calls
184 calls:
Slowest
663.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
545.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
509.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
384.0ms
(- (cbrt -1) (+ (* 1/3 (/ (cbrt -1) x)) (* 1/9 (/ (cbrt -1) (pow x 2)))))
379.0ms
(- (cbrt -1) (+ (* 1/3 (/ (cbrt -1) x)) (* 1/9 (/ (cbrt -1) (pow x 2)))))

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (fma -1/2 x -1))
0.0b
(- (* x (fma -1/2 x -1)) (log x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt
5×pow1
4×add-cbrt-cube prod-diff add-exp-log fma-udef
3×log-prod associate-*r* associate-*l* associate--r+ add-log-exp
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate--l+ insert-posit16 log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-- unswap-sqr
Counts
2 → 48
Calls
2 calls:
Slowest
17.0ms
(- (* x (fma -1/2 x -1)) (log x))
12.0ms
(* x (fma -1/2 x -1))

series126.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
75.0ms
(* x (fma -1/2 x -1))
51.0ms
(- (* x (fma -1/2 x -1)) (log x))

simplify2.9s

Counts
32 → 54
Calls
32 calls:
Slowest
646.0ms
(* (* (* x x) x) (* (* (fma -1/2 x -1) (fma -1/2 x -1)) (fma -1/2 x -1)))
369.0ms
(- (log (/ 1 x)) (+ (* 1/2 (pow x 2)) x))
270.0ms
(/ (exp (* x (fma -1/2 x -1))) x)
213.0ms
(fma x (fma -1/2 x -1) (- (* (cbrt (log x)) (* (cbrt (log x)) (cbrt (log x))))))
169.0ms
(- (log (/ -1 x)) (+ x (+ (* 1/2 (pow x 2)) (log -1))))

prune487.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

39.9b
(log (fma (/ 1 x) (/ (/ 1 x) x) -1))
29.2b
(log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))
0.9b
(- (log (fma (/ 1 x) (/ (/ 1 x) x) -1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1)))))
0.3b
(* (/ 1 x) (/ 1 x))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
57×*-un-lft-identity
48×times-frac
46×add-exp-log
45×add-cube-cbrt
34×pow1
20×log-div
16×add-cbrt-cube div-exp prod-diff frac-add prod-exp
15×swap-sqr log-pow
13×associate-*r* associate-*l*
12×log-prod
10×flip3-+ flip-+ associate--r-
9×unswap-sqr
8×rec-exp 1-exp pow-flip inv-pow
6×div-inv
5×frac-times associate-*l/ associate-*r/ un-div-inv pow-prod-up
4×expm1-log1p-u cbrt-undiv fma-neg cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
3×pow-prod-down associate--l+ pow-sqr associate--r+
2×rem-log-exp
1×pow2 sub-neg pow-plus flip3-- diff-log *-commutative flip-- difference-of-squares
Counts
4 → 194
Calls
4 calls:
Slowest
64.0ms
(log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))
46.0ms
(- (log (fma (/ 1 x) (/ (/ 1 x) x) -1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1)))))
20.0ms
(* (/ 1 x) (/ 1 x))
3.0ms
(log (fma (/ 1 x) (/ (/ 1 x) x) -1))

series375.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
236.0ms
(log (fma (/ 1 x) (/ (/ 1 x) x) -1))
68.0ms
(- (log (fma (/ 1 x) (/ (/ 1 x) x) -1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1)))))
36.0ms
(log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))
34.0ms
(* (/ 1 x) (/ 1 x))

simplify21.4s

Counts
197 → 206
Calls
197 calls:
Slowest
1.1s
(* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* x x) x)))
705.0ms
(log (+ (* (* 1 1) (- (* 1 1) (* (/ 1 x) 1))) (* (* x x) (- (* (* 1 1) (* 1 1)) (* (* (/ 1 x) 1) (* (/ 1 x) 1))))))
622.0ms
(* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
580.0ms
(* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* 1 1) 1) (* (* x x) x)))
497.0ms
(log (* x (+ (* (* 1 1) (* 1 1)) (- (* (* (/ 1 x) 1) (* (/ 1 x) 1)) (* (* 1 1) (* (/ 1 x) 1))))))

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s24245×body80nan
603.0ms8000×body80valid