Details

Time bar (total: 12.7s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms252×body80nan

simplify170.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01114
12114
24113
37013
49913
512813
614113
714313
done14313

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite54.0ms

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))
16.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
29.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series252.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
107.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
99.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify2.0s

Counts
162 → 162
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02503612
16313490
230383298
done50013288

prune616.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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 4.0 (sqrt x) (+ x 1.0))
46.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
22.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
82.0ms
(* 6.0 (/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0))))
91.0ms
(/ (- x 1.0) (fma 4.0 (sqrt x) (+ x 1.0)))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01431667
13731623
215361463
done50011459

prune366.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (sqrt x) (+ x 1.0))
0.0b
(* 6.0 (/ 1 (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))
0.0b
(/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))
0.1b
(/ 1 (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef inv-pow
Counts
4 → 258
Calls
4 calls:
0.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
57.0ms
(* 6.0 (/ 1 (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))
11.0ms
(/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))
18.0ms
(/ 1 (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
89.0ms
(* 6.0 (/ 1 (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))
74.0ms
(/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))
76.0ms
(/ 1 (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))

simplify2.0s

Counts
270 → 270
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03255673
19045071
242574638
done50024634

prune680.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))
0.3b
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))
0.3b
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
11.0ms
(cbrt (- x 1.0))
1.0ms
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))
1.0ms
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))
1.0ms
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))

series690.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x 1.0))
171.0ms
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))
186.0ms
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))
188.0ms
(cbrt (fma 4.0 (sqrt x) (+ x 1.0)))

simplify2.0s

Counts
68 → 68
Iterations

Useful iterations: 3 (888.0ms)

IterNodesCost
01391043
1329992
2984915
34159849
done5000849

prune333.0ms

Pruning

4 alts after pruning (1 fresh and 3 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

sample1.6s

Algorithm
intervals
Results
792.0ms8000×body80valid
477.0ms8028×body80nan