Details

Time bar (total: 12.7s)

sample49.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
15.0ms282×body80nan

simplify148.0ms

Counts
1 → 1
Iterations
IterNodes
done143
7143
6141
5128
499
370
241
121
011

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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

rewrite67.0ms

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-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
39.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
22.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
80.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
89.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done5001
21541
1374
0144

prune450.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

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×clear-num frac-2neg
1×pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
4 → 258
Calls
4 calls:
9.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
51.0ms
(* 6.0 (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
17.0ms
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
51.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
92.0ms
(* 6.0 (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
83.0ms
(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.8s

Counts
270 → 270
Iterations
IterNodes
done5000
24273
1903
0326

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
23×prod-exp
22×add-cbrt-cube
9×div-exp cbrt-unprod
8×pow1
7×1-exp
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×cbrt-undiv associate-*r/
3×expm1-log1p-u associate-/r* times-frac associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×associate-/l/
1×clear-num frac-2neg flip3-- associate-*r* *-commutative fma-udef div-inv flip-- associate-/l*
Counts
3 → 66
Calls
3 calls:
0.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
76.0ms
(* 6.0 (* 1 (/ (* 1 (- x 1.0)) (fma 4.0 (sqrt x) (+ x 1.0)))))
26.0ms
(/ (* 1 (- x 1.0)) (fma 4.0 (sqrt x) (+ x 1.0)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma 4.0 (sqrt x) (+ x 1.0))
101.0ms
(* 6.0 (* 1 (/ (* 1 (- x 1.0)) (fma 4.0 (sqrt x) (+ x 1.0)))))
97.0ms
(/ (* 1 (- x 1.0)) (fma 4.0 (sqrt x) (+ x 1.0)))

simplify1.9s

Counts
75 → 75
Iterations
IterNodes
done5002
22188
1415
0142

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
194×add-exp-log
110×add-cbrt-cube
105×*-un-lft-identity
102×add-sqr-sqrt
98×times-frac
78×div-exp
76×prod-exp
57×add-cube-cbrt
42×associate-*l*
41×cbrt-undiv
40×pow1 cbrt-unprod
27×swap-sqr
24×associate-/r/
22×associate-*r*
21×distribute-lft-out--
16×frac-times associate-*r/
15×difference-of-squares
14×cbrt-prod
11×rec-exp 1-exp pow-prod-up
10×associate-*l/
8×pow-flip
7×pow-prod-down div-inv
6×unswap-sqr
5×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow2 pow-plus pow-sqr associate-/l*
2×cube-unmult *-commutative
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 inv-pow
Counts
4 → 271
Calls
4 calls:
84.0ms
(* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))
117.0ms
(cbrt (/ 1 (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))))
63.0ms
(* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))
141.0ms
(/ 1 (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))
106.0ms
(cbrt (/ 1 (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0))))))
125.0ms
(* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))
160.0ms
(/ 1 (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (* (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)) (/ (fma 4.0 (sqrt x) (+ x 1.0)) (- x 1.0)))))

simplify1.2s

Counts
283 → 283
Iterations
IterNodes
done5001
11174
0346

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
221
119
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
729.0ms7994×body80nan
542.0ms8000×body80valid