Details

Time bar (total: 48.1s)

sample54.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
14.0ms225×body80nan

simplify197.0ms

Counts
1 → 1
Iterations
IterNodes
done129
8129
7128
6126
5109
484
362
238
121
011

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
12.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
18.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
119.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
121.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.9s

Counts
162 → 162
Iterations
IterNodes
done5000
22079
1628
0251

prune778.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
0.0b
(/ 6.0 (log1p (expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.5b
(expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt *-un-lft-identity
24×times-frac
22×add-cube-cbrt
8×associate-/r* add-cbrt-cube add-exp-log
6×associate-/l*
5×log1p-expm1-u
4×expm1-log1p-u pow1 distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv clear-num frac-2neg div-exp associate-/r/ div-inv
1×log1p-udef expm1-log1p flip3-- log1p-expm1 flip-- expm1-udef
Counts
4 → 90
Calls
4 calls:
0.0ms
(log1p (expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
8.0ms
(/ 6.0 (log1p (expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))
16.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0ms
(expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series725.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(log1p (expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
279.0ms
(/ 6.0 (log1p (expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))
98.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
144.0ms
(expm1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify2.8s

Counts
102 → 102
Iterations
IterNodes
done5008
33750
2989
1352
0172

prune631.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
0.0b
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))
0.0b
(/ (/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
25272×times-frac
15598×*-un-lft-identity
13818×add-sqr-sqrt
12263×sqrt-prod
8346×add-cube-cbrt
2736×difference-of-squares
2258×distribute-lft-out
1368×distribute-lft-out--
667×associate-/r/
365×div-inv
188×flip3-+ flip-+
122×associate-/l*
114×flip3-- flip--
101×associate-/r*
32×add-cbrt-cube add-exp-log
19×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×fma-udef associate-/l/
Counts
4 → 7210
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
16.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
23.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))
236.0ms
(/ (/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
518.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))
410.0ms
(/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0))))
561.0ms
(/ (/ 6.0 (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (+ (sqrt x) (sqrt 1.0)))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- (sqrt x) (sqrt 1.0))))

simplify11.9s

Counts
7222 → 7222
Iterations
IterNodes
done5001
04278

prune21.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
33×*-un-lft-identity
31×add-cube-cbrt
19×times-frac
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r*
3×expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-times cbrt-undiv sub-neg flip3-- div-exp prod-exp associate-*r/ cbrt-unprod div-inv flip-- unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative fma-udef distribute-lft-out-- difference-of-squares
Counts
3 → 101
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
4.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
35.0ms
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

series261.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
95.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
110.0ms
(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

simplify1.4s

Counts
110 → 110
Iterations
IterNodes
done5001
21477
1550
0197

prune603.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
546.0ms8000×body80valid
477.0ms7962×body80nan