Details

Time bar (total: 14.6s)

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms243×body80nan

simplify150.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01114
12114
24113
36913
49413
511813
613113
713313
done13313

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite51.0ms

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))
15.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
24.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
106.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
96.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.2s

Counts
162 → 162
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune824.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
27×add-sqr-sqrt
23×times-frac
19×add-exp-log
17×add-cube-cbrt
14×add-cbrt-cube
8×div-exp
7×distribute-lft-out associate-/l*
6×associate-/r*
5×cbrt-undiv distribute-lft-out-- add-log-exp difference-of-squares
4×prod-exp
3×pow1 expm1-log1p-u fma-def associate-/r/ log1p-expm1-u
2×frac-2neg flip3-+ 1-exp clear-num cbrt-unprod flip-+ div-inv associate-/l/
1×+-commutative associate-+l+ flip3-- associate-*r/ sum-log flip-- fma-udef
Counts
3 → 93
Calls
3 calls:
8.0ms
(+ (fma (sqrt x) 4.0 1.0) x)
37.0ms
(/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0))
25.0ms
(/ 6.0 (* 1 (/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0))))

series276.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ (fma (sqrt x) 4.0 1.0) x)
106.0ms
(/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0))
110.0ms
(/ 6.0 (* 1 (/ (+ (fma (sqrt x) 4.0 1.0) x) (- x 1.0))))

simplify3.0s

Counts
102 → 102
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01691750
14011632
211751444
343431431
done50001430

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
50×add-sqr-sqrt
40×*-un-lft-identity
22×add-cube-cbrt
18×pow1
16×cbrt-div swap-sqr
14×pow1/3 associate-*r* associate-*l*
8×add-exp-log flip3-- flip-- distribute-lft-out-- unswap-sqr
6×difference-of-squares
4×expm1-log1p-u frac-times pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
5.0ms
(cbrt (- x 1.0))
6.0ms
(cbrt (- x 1.0))
47.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
11.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))

series597.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- x 1.0))
133.0ms
(cbrt (- x 1.0))
138.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
214.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify2.2s

Counts
146 → 146
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02232361
15042108
213901979
339161754
done50001751

prune604.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
705×times-frac
394×add-sqr-sqrt *-un-lft-identity
302×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
39×div-inv
32×add-exp-log
31×associate-/r/
29×associate-/r*
20×add-cbrt-cube
19×div-exp associate-/l*
15×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 → 415
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
13.0ms
(/ 1 (- x 1.0))
5.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
52.0ms
(/ (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 (- x 1.0)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
49.0ms
(/ 1 (- x 1.0))
85.0ms
(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
119.0ms
(/ (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 (- x 1.0)))

simplify1.7s

Counts
427 → 427
Iterations

Useful iterations: done (1.7s)

IterNodesCost
062012344
1169610653
2423110018
done500210016

prune882.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes24.0ms

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: 1 (1.0ms)

IterNodesCost
01215
11613
done1613

end0.0ms

sample1.8s

Algorithm
intervals
Results
942.0ms7865×body80nan
595.0ms8000×body80valid