Details

Time bar (total: 18.0s)

sample37.0ms

Algorithm
intervals
Results
15.0ms351×body80valid

simplify5.7s

Counts
1 → 1
Iterations
IterNodes
done2434
82434
72422
62265
51670
4779
3289
290
127
013

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma t (* 9.0 (- z)) (* x y))
7.3b
(/ (fma t (* 9.0 (- z)) (* x y)) (* a 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac associate-/l*
expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
clear-num associate-/r* frac-2neg prod-exp cbrt-unprod fma-udef div-inv
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma t (* 9.0 (- z)) (* x y))
12.0ms
(/ (fma t (* 9.0 (- z)) (* x y)) (* a 2.0))

series181.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(fma t (* 9.0 (- z)) (* x y))
107.0ms
(/ (fma t (* 9.0 (- z)) (* x y)) (* a 2.0))

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5001
33929
2507
1154
072

prune263.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.4b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (- 9.0) (* t z) (* x y))
7.3b
(/ (fma (- 9.0) (* t z) (* x y)) (* a 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac associate-/l*
expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
clear-num associate-/r* frac-2neg prod-exp cbrt-unprod fma-udef div-inv
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (- 9.0) (* t z) (* x y))
6.0ms
(/ (fma (- 9.0) (* t z) (* x y)) (* a 2.0))

series265.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(fma (- 9.0) (* t z) (* x y))
153.0ms
(/ (fma (- 9.0) (* t z) (* x y)) (* a 2.0))

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5000
33948
2498
1150
071

prune325.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.4b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma 4.5 (- (/ (* t z) a)) (* (/ 0.5 a) (* x y)))
4.4b
(/ (* t z) a)
5.8b
(* (/ 0.5 a) (* x y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
13×associate-*l*
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
pow1
prod-exp cbrt-unprod
cbrt-undiv div-exp
expm1-log1p-u associate-/r* pow-prod-down log1p-expm1-u add-log-exp
div-inv
clear-num frac-2neg associate-*r* associate-*l/ *-commutative fma-udef associate-/l*
Counts
3 → 68
Calls
3 calls:
0.0ms
(fma 4.5 (- (/ (* t z) a)) (* (/ 0.5 a) (* x y)))
12.0ms
(/ (* t z) a)
30.0ms
(* (/ 0.5 a) (* x y))

series264.0ms

Counts
3 → 9
Calls
3 calls:
194.0ms
(fma 4.5 (- (/ (* t z) a)) (* (/ 0.5 a) (* x y)))
22.0ms
(/ (* t z) a)
48.0ms
(* (/ 0.5 a) (* x y))

simplify900.0ms

Counts
77 → 77
Iterations
IterNodes
done5000
21496
1340
0134

prune490.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma 4.5 (- (/ (* t z) a)) (* (/ (* x 0.5) a) y))
4.4b
(/ (* t z) a)
4.9b
(* (/ (* x 0.5) a) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
associate-*l*
times-frac
pow1 prod-exp cbrt-unprod
cbrt-undiv div-exp
expm1-log1p-u associate-/r* associate-*r* log1p-expm1-u add-log-exp
div-inv
clear-num frac-2neg pow-prod-down associate-*l/ *-commutative fma-udef associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
0.0ms
(fma 4.5 (- (/ (* t z) a)) (* (/ (* x 0.5) a) y))
8.0ms
(/ (* t z) a)
22.0ms
(* (/ (* x 0.5) a) y)

series609.0ms

Counts
3 → 9
Calls
3 calls:
174.0ms
(fma 4.5 (- (/ (* t z) a)) (* (/ (* x 0.5) a) y))
398.0ms
(/ (* t z) a)
36.0ms
(* (/ (* x 0.5) a) y)

simplify1.1s

Counts
71 → 71
Iterations
IterNodes
done5001
21721
1320
0129

prune462.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

42.9% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 7.7b

bsearch2.0ms

simplify14.0ms

Iterations
IterNodes
done45
345
244
140
028

end0.0ms

sample1.6s

Algorithm
intervals
Results
686.0ms11078×body80valid