Details

Time bar (total: 22.5s)

sample149.0ms

Algorithm
intervals
Results
35.0ms714×body80nan
17.0ms256×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.0b
(log (- (/ 1.0 x) 1.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
6×log-prod
4×div-inv add-log-exp difference-of-squares
3×pow1 add-exp-log
2×expm1-log1p-u log-div flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 88
Calls
2 calls:
48.0ms
(- (/ 1.0 x) 1.0)
38.0ms
(log (- (/ 1.0 x) 1.0))

series171.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (/ 1.0 x) 1.0)
128.0ms
(log (- (/ 1.0 x) 1.0))

simplify2.9s

Counts
94 → 94
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01571601
13181202
2681993
32424816
done5000720

prune241.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
0.2b
(/ (sqrt 1.0) (sqrt x))
0.2b
(/ (sqrt 1.0) (sqrt x))
0.5b
(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
72×times-frac
61×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-/r* associate-/l*
9×add-exp-log
8×add-cbrt-cube
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×log-prod
2×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num div-inv
1×rem-log-exp log-pow fma-udef
Counts
4 → 150
Calls
4 calls:
2.0ms
(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
14.0ms
(/ (sqrt 1.0) (sqrt x))
20.0ms
(/ (sqrt 1.0) (sqrt x))
1.0ms
(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
545.0ms
(log (fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0)))
88.0ms
(/ (sqrt 1.0) (sqrt x))
119.0ms
(/ (sqrt 1.0) (sqrt x))
339.0ms
(fma (/ (sqrt 1.0) (sqrt x)) (/ (sqrt 1.0) (sqrt x)) (- 1.0))

simplify3.6s

Counts
162 → 162
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02042296
14432023
211831805
340871652
done50001651

prune590.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 x) 1.0)
0.0b
(- (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (+ (/ 1.0 x) 1.0)))
0.1b
(/ (/ 1.0 x) x)
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

rewrite737.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
73×*-un-lft-identity
66×add-sqr-sqrt
64×add-cube-cbrt
36×pow1
24×log-pow
20×prod-diff
13×fma-def associate-/l*
12×add-exp-log
9×add-cbrt-cube
8×pow-prod-down
6×log-div log-prod div-inv distribute-lft-out-- add-log-exp
5×fma-neg
4×expm1-log1p-u associate-*r/ log1p-expm1-u associate--r+
3×cbrt-undiv flip3-- div-exp associate-/r* flip--
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×+-commutative sub-neg frac-2neg diff-log prod-exp associate--l+ clear-num sum-log associate-/l/ difference-of-squares
Counts
4 → 170
Calls
4 calls:
29.0ms
(+ (/ 1.0 x) 1.0)
573.0ms
(- (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (+ (/ 1.0 x) 1.0)))
15.0ms
(/ (/ 1.0 x) x)
104.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (/ 1.0 x) 1.0)
209.0ms
(- (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (+ (/ 1.0 x) 1.0)))
54.0ms
(/ (/ 1.0 x) x)
199.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

simplify1.8s

Counts
182 → 182
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02883323
16642816
216122455
done50001880

prune605.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0)))) (- (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0)))))
0.9b
(- (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0))))
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
250×sqrt-prod
168×prod-diff
129×pow1
119×*-un-lft-identity
116×add-sqr-sqrt
98×add-cube-cbrt
93×log-pow
58×distribute-rgt-in distribute-lft-in
31×pow-prod-down
14×associate-*r* distribute-lft-out--
12×add-exp-log
10×associate-*l*
8×fma-neg difference-of-squares
7×distribute-lft-out
6×flip3-- associate-*r/ add-cbrt-cube flip-- add-log-exp
4×expm1-log1p-u frac-times log-div rem-log-exp log1p-expm1-u
3×sub-neg flip3-+ prod-exp flip-+
2×log-prod associate-*l/
1×diff-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 283
Calls
4 calls:
1.7s
(* (+ (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0)))) (- (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0)))))
552.0ms
(- (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0))))
112.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
138.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
751.0ms
(* (+ (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0)))) (- (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0)))))
369.0ms
(- (sqrt (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))) (sqrt (log (+ (/ 1.0 x) 1.0))))
173.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
212.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

simplify2.0s

Counts
295 → 295
Iterations

Useful iterations: done (2.0s)

IterNodesCost
032021042
187316294
2264412278
done50019924

prune689.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
done915

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s24392×body80nan
863.0ms8000×body80valid