Details

Time bar (total: 18.6s)

sample62.0ms

Algorithm
intervals
Results
24.0ms64×body640valid
12.0ms128×body80valid
11.0ms41×body320valid
4.0ms23×body160valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
315
215
111
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
3.5b
(- (/ 1 (+ x 1)) (/ 1 x))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
370×*-un-lft-identity
366×times-frac
277×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
37×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
10×distribute-lft-out--
9×difference-of-squares
6×add-exp-log
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
2 → 327
Calls
2 calls:
10.0ms
(/ 1 (+ x 1))
37.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

series51.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (+ x 1))
37.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.6s

Counts
333 → 333
Iterations
IterNodes
33496
21474
1798
0358

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (- (- x x) 1) (fma x x x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
30×add-sqr-sqrt
24×times-frac
14×add-cube-cbrt
12×distribute-lft-out--
8×associate-/l* difference-of-squares
4×difference-of-sqr-1
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 53
Calls
1 calls:
61.0ms
(/ (- (- x x) 1) (fma x x x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (- (- x x) 1) (fma x x x))

simplify4.8s

Counts
56 → 56
Iterations
IterNodes
55060
41932
3856
2394
1215
097

prune361.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
18.6b
(cbrt (fma x x x))
18.6b
(cbrt (fma x x x))
18.6b
(cbrt (fma x x x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt *-un-lft-identity pow1/3 add-cube-cbrt pow-flip
7×add-cbrt-cube
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod div-inv inv-pow
Counts
4 → 80
Calls
4 calls:
22.0ms
(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
2.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))
1.0ms
(cbrt (fma x x x))

series266.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ 1 (* (cbrt (fma x x x)) (cbrt (fma x x x))))
64.0ms
(cbrt (fma x x x))
55.0ms
(cbrt (fma x x x))
62.0ms
(cbrt (fma x x x))

simplify1.5s

Counts
92 → 92
Iterations
IterNodes
43041
31372
2579
1257
0118

prune918.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (fma x x x)))
0.2b
(* (/ 1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x))))
17.7b
(sqrt (fma x x x))
17.7b
(sqrt (fma x x x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 div-exp
8×prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 166
Calls
4 calls:
11.0ms
(/ 1 (sqrt (fma x x x)))
27.0ms
(* (/ 1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x))))
1.0ms
(sqrt (fma x x x))
1.0ms
(sqrt (fma x x x))

series167.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 1 (sqrt (fma x x x)))
34.0ms
(* (/ 1 (sqrt (fma x x x))) (/ -1 (sqrt (fma x x x))))
40.0ms
(sqrt (fma x x x))
39.0ms
(sqrt (fma x x x))

simplify3.0s

Counts
178 → 178
Iterations
IterNodes
33782
21397
1570
0201

prune1.2s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
06

end0.0ms

sample1.5s

Algorithm
intervals
Results
619.0ms1911×body640valid
345.0ms4220×body80valid
303.0ms1221×body320valid
115.0ms651×body160valid