Details

Time bar (total: 8.7s)

sample33.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms237×body80nan

simplify122.0ms

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

localize8.0ms

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

series208.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
85.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.1s

Counts
162 → 162
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune416.0ms

Pruning

4 alts after pruning (4 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)))

rewrite49.0ms

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))
26.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
19.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
77.0ms
(/ (- 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

prune245.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 6.0 (log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
0.5b
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite27.0ms

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×log1p-expm1-u associate-/l*
4×expm1-log1p-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:
7.0ms
(* 6.0 (log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
17.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.0ms
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
1.0ms
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* 6.0 (log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
76.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
186.0ms
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
118.0ms
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify1.5s

Counts
94 → 94
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01541699
13411592
28601426
326641413
done50001411

prune251.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 associate-*r*
4×fma-def associate-*r/
3×expm1-log1p-u times-frac associate-*l* associate-/r* sum-log log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms
(* 6.0 (- x 1.0))
52.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series168.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms
(* 6.0 (- x 1.0))
83.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify960.0ms

Counts
101 → 101
Iterations

Useful iterations: done (957.0ms)

IterNodesCost
01871534
14661342
214161067
done50001040

prune187.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample669.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
199.0ms7989×body80nan