Details

Time bar (total: 14.3s)

sample55.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
11.0ms252×body80nan

simplify125.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01114
12114
24113
36913
49413
511813
613113
713313
done13313

prune12.0ms

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

rewrite36.0ms

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-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
17.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
109.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
98.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.7s

Counts
162 → 162
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune568.0ms

Pruning

6 alts after pruning (6 fresh and 0 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) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite77.0ms

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-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- fma-udef
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
40.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
32.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
97.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.2s

Counts
99 → 99
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01431667
13491615
29561455
330681453
done50011452

prune372.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 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
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
0.1b
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
4 → 451
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
33.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
35.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

series287.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
76.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
84.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
89.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

simplify2.2s

Counts
463 → 463
Iterations

Useful iterations: done (2.2s)

IterNodesCost
061712916
1144111801
2297110792
done500110690

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 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
(/ 1 (* (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) (/ 1 6.0)))
0.1b
(* (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) (/ 1 6.0))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
63×add-sqr-sqrt
51×div-exp
49×times-frac
48×*-un-lft-identity
36×add-cbrt-cube
32×add-cube-cbrt prod-exp
21×associate-*l*
17×rec-exp 1-exp
14×cbrt-undiv
13×associate-*r*
9×pow1
8×associate-/r/ cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×frac-times flip3-- pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv flip--
1×*-commutative fma-udef inv-pow
Counts
4 → 174
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
12.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
39.0ms
(/ 1 (* (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) (/ 1 6.0)))
46.0ms
(* (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) (/ 1 6.0))

series311.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
91.0ms
(/ 1 (* (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) (/ 1 6.0)))
91.0ms
(* (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) (/ 1 6.0))

simplify2.1s

Counts
186 → 186
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02593579
16563194
217122675
done50002663

prune443.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample1.8s

Algorithm
intervals
Results
917.0ms8000×body80valid
492.0ms8150×body80nan