Details

Time bar (total: 15.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
done76

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
12.9b
(/ x (+ (* x x) 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
18.0ms
(+ (* x x) 1.0)
29.0ms
(/ x (+ (* x x) 1.0))

series154.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x x) 1.0)
112.0ms
(/ x (+ (* x x) 1.0))

simplify3.0s

Counts
51 → 51
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
089580
1203497
2531448
31200448
43520448
done5000448

prune180.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1.0) x))
12.8b
(/ (fma x x 1.0) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
20.0ms
(/ 1 (/ (fma x x 1.0) x))
11.0ms
(/ (fma x x 1.0) x)

series237.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ 1 (/ (fma x x 1.0) x))
146.0ms
(/ (fma x x 1.0) x)

simplify3.6s

Counts
113 → 113
Iterations

Useful iterations: 3 (645.0ms)

IterNodesCost
01681655
13491433
27071254
316411236
436461236
done50001236

prune223.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1.0 x))
0.1b
(/ 1 (+ x (/ 1.0 x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
6×add-exp-log
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 fma-def associate-/l*
2×expm1-log1p-u flip3-+ div-exp associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp clear-num sum-log div-inv inv-pow
Counts
2 → 56
Calls
2 calls:
21.0ms
(+ x (/ 1.0 x))
41.0ms
(/ 1 (+ x (/ 1.0 x)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (/ 1.0 x))
50.0ms
(/ 1 (+ x (/ 1.0 x)))

simplify4.4s

Counts
62 → 62
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
087648
1195574
2458526
31133526
44073526
done5000526

prune101.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ x (- (pow x 4) (* 1.0 1.0)))
18.9b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
37×times-frac
26×add-cube-cbrt *-un-lft-identity
24×associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×prod-diff associate-/r*
5×distribute-rgt-in distribute-lft-in
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 103
Calls
2 calls:
35.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
129.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series291.0ms

Counts
2 → 6
Calls
2 calls:
162.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
129.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify1.8s

Counts
109 → 109
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02312101
15661956
217191793
done50001507

prune326.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample480.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid