Details

Time bar (total: 16.6s)

sample279.0ms

Algorithm
intervals
Results
85.0ms256×body80valid
75.0ms724×body80nan

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
067
187
297
done97

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.3b
(log (- (/ 1.0 x) 1.0))

rewrite99.0ms

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:
51.0ms
(- (/ 1.0 x) 1.0)
37.0ms
(log (- (/ 1.0 x) 1.0))

series190.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (/ 1.0 x) 1.0)
116.0ms
(log (- (/ 1.0 x) 1.0))

simplify899.0ms

Counts
94 → 94
Iterations

Useful iterations: done (891.0ms)

IterNodesCost
01571601
13481308
210871005
done5000922

prune310.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (/ (pow x 2) (pow 1.0 2)) 0.5 (log x))
0.0b
(fma x 1.0 (fma (/ (pow x 2) (pow 1.0 2)) 0.5 (log x)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma (/ (pow x 2) (pow 1.0 2)) 0.5 (log x))
1.0ms
(fma x 1.0 (fma (/ (pow x 2) (pow 1.0 2)) 0.5 (log x)))

series552.0ms

Counts
2 → 6
Calls
2 calls:
480.0ms
(fma (/ (pow x 2) (pow 1.0 2)) 0.5 (log x))
72.0ms
(fma x 1.0 (fma (/ (pow x 2) (pow 1.0 2)) 0.5 (log x)))

simplify2.3s

Counts
26 → 26
Iterations

Useful iterations: done (2.3s)

IterNodesCost
050410
198402
2301347
31510337
done5001331

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))
0.8b
(- (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x))))))
32.3b
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
43.5b
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
72×log-prod
51×*-un-lft-identity
49×difference-of-squares
36×unpow-prod-down cube-prod
33×associate--l+
26×times-frac
25×add-cube-cbrt
21×pow1
20×sqr-pow
16×prod-diff
15×log-pow
14×distribute-lft-out--
13×associate-*l*
11×add-exp-log
9×add-cbrt-cube
4×expm1-log1p-u log-div fma-neg associate-*r* log1p-expm1-u add-log-exp
3×flip3-- flip-- associate--r+
2×difference-cubes associate--l- frac-times flip3-+ associate-*r/ rem-log-exp prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out
Counts
4 → 178
Calls
4 calls:
72.0ms
(* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))
86.0ms
(- (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x))))))
1.0ms
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
101.0ms
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))

series962.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))
188.0ms
(- (log (- (pow (/ 1.0 x) 3) (pow 1.0 3))) (log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x))))))
150.0ms
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
490.0ms
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))

simplify3.5s

Counts
190 → 190
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
03075346
18434575
246314084
done50004084

prune774.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

32.3b
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
32.3b
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
43.5b
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))
43.5b
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
72×log-prod
48×difference-of-squares
36×unpow-prod-down cube-prod
28×*-un-lft-identity
20×sqr-pow
16×times-frac
10×distribute-lft-out--
8×pow1 add-exp-log add-cube-cbrt
4×expm1-log1p-u log-div rem-log-exp log-pow add-cbrt-cube log1p-expm1-u add-log-exp
2×difference-cubes flip3-- flip--
Counts
4 → 120
Calls
4 calls:
3.0ms
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
2.0ms
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
101.0ms
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))
83.0ms
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
127.0ms
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
115.0ms
(log (fma 1.0 1.0 (* (/ 1.0 x) (+ 1.0 (/ 1.0 x)))))
488.0ms
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))
529.0ms
(log (- (pow (/ 1.0 x) 3) (pow 1.0 3)))

simplify924.0ms

Counts
132 → 132
Iterations

Useful iterations: done (918.0ms)

IterNodesCost
01732766
13782586
214102392
done50002390

prune698.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s24347×body80nan
927.0ms8000×body80valid