Details

Time bar (total: 16.1s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms238×body80nan

simplify93.0ms

Counts
1 → 1
Iterations
IterNodes
done143
7143
6141
5128
499
370
241
121
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
21.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
14.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
91.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
89.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.2s

Counts
99 → 99
Iterations
IterNodes
done5001
21541
1374
0144

prune437.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
749×times-frac
605×add-sqr-sqrt
595×*-un-lft-identity
579×add-cube-cbrt
507×prod-diff
171×distribute-rgt-in distribute-lft-in
85×div-inv
13×fma-neg
12×associate-*r*
10×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg associate-*l*
2×cbrt-undiv clear-num frac-2neg flip3-- distribute-rgt-out-- div-exp frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 640
Calls
4 calls:
39.0ms
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
124.0ms
(* 6.0 (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
5.0ms
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
5.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
157.0ms
(* 6.0 (- (/ x (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
81.0ms
(/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))
97.0ms
(/ x (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.0s

Counts
652 → 652
Iterations
IterNodes
done5001
11742
0781

prune4.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) (cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
0.4b
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
0.4b
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
0.4b
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
38.0ms
(* (cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) (cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
3.0ms
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
3.0ms
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
3.0ms
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
307.0ms
(* (cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))) (cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0)))))
216.0ms
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
302.0ms
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))
562.0ms
(cbrt (/ 1.0 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify1.7s

Counts
164 → 164
Iterations
IterNodes
done5000
22538
1506
0221

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity
19×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r*
4×associate-*r/
3×expm1-log1p-u associate-/r* times-frac associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative fma-udef div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 81
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
30.0ms
(* 6.0 (- x 1.0))
17.0ms
(/ (* 6.0 (- x 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
64.0ms
(* 6.0 (- x 1.0))
111.0ms
(/ (* 6.0 (- x 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.2s

Counts
90 → 90
Iterations
IterNodes
done5001
21815
1425
0168

prune329.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
done17
117
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
502.0ms8087×body80nan
402.0ms8000×body80valid