Details

Time bar (total: 11.4s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms284×body80nan

simplify117.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01114
12114
24113
36913
49413
511813
613113
713313
done13313

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite38.0ms

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))
19.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
81.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
89.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.0s

Counts
162 → 162
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune461.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))

rewrite51.0ms

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))
31.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
17.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
84.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
81.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01431667
13491615
29561455
330681453
done50011452

prune264.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

rewrite104.0ms

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))
28.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
32.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
89.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)
94.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))

simplify1.8s

Counts
463 → 463
Iterations

Useful iterations: done (1.8s)

IterNodesCost
061712916
1144111801
2297110792
done500010690

prune910.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
0.0b
(* 6.0 (expm1 (log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
6.7b
(log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
8×add-exp-log add-cbrt-cube
6×pow1
5×expm1-log1p-u associate-/l*
4×log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r* associate-*l* associate-/r*
2×associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg div-sub log1p-expm1 div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv expm1-udef unswap-sqr
Counts
4 → 82
Calls
4 calls:
0.0ms
(expm1 (log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
11.0ms
(* 6.0 (expm1 (log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
18.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms
(log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series650.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(expm1 (log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
211.0ms
(* 6.0 (expm1 (log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
82.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
154.0ms
(log1p (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify2.3s

Counts
94 → 94
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01551744
13461637
28901438
328471429
done50001424

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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

sample684.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid
205.0ms8130×body80nan