Details

Time bar (total: 13.3s)

sample44.0ms

Algorithm
intervals
Results
16.0ms385×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 6 (2.8s)

IterNodesCost
01819
13819
210019
331918
485318
5181918
6399316
done500016

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.6b
(fma y (* x 9.0) b)
1.8b
(/ (fma y (* x 9.0) b) z)
9.8b
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite93.0ms

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:
28.0ms
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.0ms
(fma y (* x 9.0) b)
6.0ms
(/ (fma y (* x 9.0) b) z)
55.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series515.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
41.0ms
(fma y (* x 9.0) b)
81.0ms
(/ (fma y (* x 9.0) b) z)
201.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify986.0ms

Counts
123 → 123
Iterations

Useful iterations: done (981.0ms)

IterNodesCost
01702305
13792243
212672063
done50001986

prune526.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.3b
(/ (* t a) c)
5.4b
(/ b (* z c))
8.3b
(/ (* x y) (* z c))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
7×times-frac
6×prod-exp cbrt-unprod
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 → 79
Calls
4 calls:
0.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
13.0ms
(/ (* t a) c)
8.0ms
(/ b (* z c))
13.0ms
(/ (* x y) (* z c))

series198.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
26.0ms
(/ (* t a) c)
26.0ms
(/ b (* z c))
38.0ms
(/ (* x y) (* z c))

simplify752.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
0148914
1341893
21523735
done5001735

prune344.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.3b
(/ (* t a) c)
3.4b
(/ (* z c) y)
5.4b
(/ b (* z c))
6.9b
(/ x (/ (* z c) y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
4 → 119
Calls
4 calls:
10.0ms
(/ (* t a) c)
13.0ms
(/ (* z c) y)
8.0ms
(/ b (* z c))
10.0ms
(/ x (/ (* z c) y))

series128.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* t a) c)
26.0ms
(/ (* z c) y)
28.0ms
(/ b (* z c))
44.0ms
(/ x (/ (* z c) y))

simplify1.1s

Counts
131 → 131
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02061247
14511204
216841056
done50001050

prune534.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.3b
(/ (* t a) c)
4.0b
(* (/ x (* z c)) y)
5.4b
(/ b (* z c))
6.2b
(/ x (* z c))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
8×cbrt-undiv div-exp
7×associate-*l* prod-exp cbrt-unprod associate-/l*
6×pow1
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg associate-*r* clear-num
1×pow-prod-down associate-*l/ *-commutative unswap-sqr
Counts
4 → 98
Calls
4 calls:
12.0ms
(/ (* t a) c)
24.0ms
(* (/ x (* z c)) y)
8.0ms
(/ b (* z c))
8.0ms
(/ x (* z c))

series124.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* t a) c)
43.0ms
(* (/ x (* z c)) y)
26.0ms
(/ b (* z c))
25.0ms
(/ x (* z c))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
0162909
1365888
21392740
done5000740

prune366.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

regimes969.0ms

Accuracy

55.9% (4.3b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 9.7b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
054188
172188
done72188

end0.0ms

sample1.3s

Algorithm
intervals
Results
574.0ms12622×body80valid