Details

Time bar (total: 2.4m)

sample279.0ms

Algorithm
intervals
Results
161.0ms536×body80valid

simplify814.0ms

Counts
1 → 1
Iterations
IterNodes
42323
3534
2142
151
022

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.1b
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
0.2b
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
0.5b
(/ 2 (* r r))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
53×add-sqr-sqrt *-un-lft-identity
33×add-cube-cbrt
30×add-cbrt-cube add-exp-log
23×associate-/r*
13×difference-of-squares
11×cbrt-undiv div-exp
9×prod-diff
7×prod-exp cbrt-unprod distribute-lft-out--
6×add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u div-inv associate-/l*
3×fma-neg
2×clear-num frac-2neg fma-udef
1×sub-neg flip3-- diff-log associate-/r/ flip-- associate--r+
Counts
4 → 132
Calls
4 calls:
5.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
34.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
13.0ms
(/ 2 (* r r))

series553.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
180.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
167.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
40.0ms
(/ 2 (* r r))

simplify1.0s

Counts
144 → 144
Iterations
IterNodes
22821
1822
0300

prune2.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.1b
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
0.2b
(/ (/ 2 r) r)
0.2b
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
133×times-frac
93×add-sqr-sqrt *-un-lft-identity
73×add-cube-cbrt
30×add-cbrt-cube add-exp-log
25×associate-/r*
14×associate-/l*
13×difference-of-squares
12×cbrt-undiv div-exp
9×prod-diff
8×div-inv
7×distribute-lft-out--
6×prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×fma-neg
2×clear-num frac-2neg fma-udef
1×sub-neg flip3-- diff-log associate-/r/ flip-- associate--r+ associate-/l/
Counts
4 → 181
Calls
4 calls:
4.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
7.0ms
(/ (/ 2 r) r)
30.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
149.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
37.0ms
(/ (/ 2 r) r)
121.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))

simplify1.3s

Counts
193 → 193
Iterations
IterNodes
23291
11032
0396

prune2.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
0.2b
(/ (/ 2 r) r)
0.4b
(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))
0.4b
(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
2562×times-frac
1298×sqrt-prod
1252×add-sqr-sqrt *-un-lft-identity
721×add-cube-cbrt
354×difference-of-squares
177×distribute-lft-out--
92×div-inv
53×associate-/r*
44×associate-/l*
32×add-cbrt-cube add-exp-log
28×sqrt-div associate-/r/
13×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×fma-udef
Counts
4 → 979
Calls
4 calls:
0.0ms
(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
7.0ms
(/ (/ 2 r) r)
26.0ms
(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))
30.0ms
(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
30.0ms
(/ (/ 2 r) r)
249.0ms
(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))
148.0ms
(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))

simplify2.8s

Counts
991 → 991
Iterations
IterNodes
13713
01430

prune21.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.5b
(sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))
0.5b
(sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))
0.6b
(/ (- 1 v) (cbrt (fma -2 v 3)))
2.7b
(* (/ (/ 0.125 (sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))) (sqrt (/ 1 (* (cbrt (fma -2 v 3)) (cbrt (fma -2 v 3)))))) (/ (/ (* w r) (sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))) (sqrt (/ (- 1 v) (cbrt (fma -2 v 3))))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
7572×times-frac
5710×sqrt-prod
3994×add-sqr-sqrt
3500×*-un-lft-identity
2185×add-cube-cbrt
1424×associate-*r*
895×associate-*l*
860×difference-of-squares
636×cbrt-prod
430×distribute-lft-out--
253×div-inv
112×sqrt-div
105×unswap-sqr
60×add-exp-log
59×add-cbrt-cube
55×associate-/r/
28×cbrt-undiv div-exp
15×prod-exp cbrt-unprod
10×pow1
8×sqrt-pow1
6×rem-sqrt-square associate-/r* associate-/l*
4×expm1-log1p-u pow1/2 log1p-expm1-u add-log-exp
2×associate-/l/
1×frac-times clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 2611
Calls
4 calls:
6.0ms
(sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))
22.0ms
(sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))
17.0ms
(/ (- 1 v) (cbrt (fma -2 v 3)))
1.6s
(* (/ (/ 0.125 (sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))) (sqrt (/ 1 (* (cbrt (fma -2 v 3)) (cbrt (fma -2 v 3)))))) (/ (/ (* w r) (sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))) (sqrt (/ (- 1 v) (cbrt (fma -2 v 3))))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))
116.0ms
(sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))
155.0ms
(/ (- 1 v) (cbrt (fma -2 v 3)))
95.0ms
(* (/ (/ 0.125 (sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))) (sqrt (/ 1 (* (cbrt (fma -2 v 3)) (cbrt (fma -2 v 3)))))) (/ (/ (* w r) (sqrt (sqrt (/ (- 1 v) (fma -2 v 3))))) (sqrt (/ (- 1 v) (cbrt (fma -2 v 3))))))

simplify21.1s

Counts
2623 → 2623
Iterations
IterNodes
113125
03476

prune1.4m

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes686.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
234
134
031

end0.0ms

sample5.2s

Algorithm
intervals
Results
4.2s17161×body80valid