Details

Time bar (total: 22.6s)

sample99.0ms

Algorithm
intervals
Results
50.0ms413×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (4.3s)

IterNodesCost
01819
13819
210019
331918
485318
5181918
6399316
done500016

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (* x 9.0) b)
0.2b
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
2.2b
(/ (fma y (* x 9.0) b) z)
9.0b
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×fma-neg prod-diff
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
1.0ms
(fma y (* x 9.0) b)
57.0ms
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
10.0ms
(/ (fma y (* x 9.0) b) z)
116.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series681.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(fma y (* x 9.0) b)
258.0ms
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
94.0ms
(/ (fma y (* x 9.0) b) z)
275.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.5s

Counts
123 → 123
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01702305
13782243
212662063
done50011986

prune815.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.2b
(/ b (* z c))
6.1b
(/ (* (* a 4.0) t) c)
10.7b
(/ (* x y) (* z c))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
7×times-frac
5×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
1×fma-udef
Counts
4 → 81
Calls
4 calls:
1.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
16.0ms
(/ b (* z c))
42.0ms
(/ (* (* a 4.0) t) c)
40.0ms
(/ (* x y) (* z c))

series238.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
28.0ms
(/ b (* z c))
41.0ms
(/ (* (* a 4.0) t) c)
43.0ms
(/ (* x y) (* z c))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (295.0ms)

IterNodesCost
01631010
1401986
21902802
done5000802

prune458.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.8b

localize37.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ b (* z c))
4.5b
(/ (* z c) y)
4.8b
(/ x (/ (* z c) y))
6.1b
(/ (* (* a 4.0) t) c)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
12×cbrt-undiv div-exp
8×div-inv associate-/l*
6×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
4 → 121
Calls
4 calls:
9.0ms
(/ b (* z c))
18.0ms
(/ (* z c) y)
11.0ms
(/ x (/ (* z c) y))
38.0ms
(/ (* (* a 4.0) t) c)

series182.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ b (* z c))
36.0ms
(/ (* z c) y)
54.0ms
(/ x (/ (* z c) y))
60.0ms
(/ (* (* a 4.0) t) c)

simplify1.3s

Counts
133 → 133
Iterations

Useful iterations: 2 (458.0ms)

IterNodesCost
02211343
15111297
220641123
done50001123

prune881.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ b (* z c))
4.5b
(/ (* z c) y)
4.8b
(/ x (/ (* z c) y))
5.1b
(* (/ (* a 4.0) (* (cbrt c) (cbrt c))) (/ t (cbrt c)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
60×times-frac
51×add-cbrt-cube
46×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
22×cbrt-undiv div-exp associate-*r*
21×prod-exp cbrt-unprod
11×associate-/r*
10×cbrt-prod
9×div-inv
7×associate-/l*
6×pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 160
Calls
4 calls:
17.0ms
(/ b (* z c))
22.0ms
(/ (* z c) y)
21.0ms
(/ x (/ (* z c) y))
121.0ms
(* (/ (* a 4.0) (* (cbrt c) (cbrt c))) (/ t (cbrt c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ b (* z c))
45.0ms
(/ (* z c) y)
66.0ms
(/ x (/ (* z c) y))
108.0ms
(* (/ (* a 4.0) (* (cbrt c) (cbrt c))) (/ t (cbrt c)))

simplify2.5s

Counts
172 → 172
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03012361
17752265
235951825
done50011697

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

59.8% (3.7b remaining)

Error of 4.0b against oracle of 0.3b and baseline of 9.4b

bsearch6.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
054232
166232
done66232

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.0s12806×body80valid