Details

Time bar (total: 19.9s)

sample42.0ms

Algorithm
intervals
Results
18.0ms272×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5001
91738
8588
7279
6203
5170
4125
375
243
124
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (- b y) y)
0.0b
(* z (- t a))
0.5b
(fma y x (* z (- t a)))
25.3b
(/ (fma y x (* z (- t a))) (fma z (- b y) y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l*
2×sub-neg associate-*r/ fma-udef
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma z (- b y) y)
22.0ms
(* z (- t a))
0.0ms
(fma y x (* z (- t a)))
7.0ms
(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series760.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma z (- b y) y)
60.0ms
(* z (- t a))
87.0ms
(fma y x (* z (- t a)))
582.0ms
(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify1.0s

Counts
107 → 107
Iterations
IterNodes
done5001
21141
1353
0172

prune832.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (- b y) y)
0.5b
(fma y x (+ (* t z) (* (- a) z)))
1.4b
(+ (* t z) (* (- a) z))
25.3b
(/ (fma y x (+ (* t z) (* (- a) z))) (fma z (- b y) y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×associate-/r* associate-/l*
2×distribute-lft-neg-out fma-udef
1×cbrt-undiv +-commutative clear-num sum-log fma-def frac-2neg flip3-+ distribute-rgt-out div-exp unsub-neg flip-+ div-inv
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma z (- b y) y)
0.0ms
(fma y x (+ (* t z) (* (- a) z)))
6.0ms
(+ (* t z) (* (- a) z))
4.0ms
(/ (fma y x (+ (* t z) (* (- a) z))) (fma z (- b y) y))

series1.1s

Counts
4 → 12
Calls
4 calls:
31.0ms
(fma z (- b y) y)
79.0ms
(fma y x (+ (* t z) (* (- a) z)))
65.0ms
(+ (* t z) (* (- a) z))
963.0ms
(/ (fma y x (+ (* t z) (* (- a) z))) (fma z (- b y) y))

simplify2.3s

Counts
78 → 78
Iterations
IterNodes
done5000
34005
2768
1235
0104

prune711.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
0.5b
(fma y x (* z (- t a)))
25.3b
(/ (fma z (- b y) y) (fma y x (* z (- t a))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
72×add-sqr-sqrt
70×*-un-lft-identity
68×add-cube-cbrt
19×add-exp-log
18×prod-diff
16×associate-/r*
13×add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
8×div-exp
7×pow1
6×div-inv associate-/l*
5×associate-*r*
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×associate-*l*
2×rec-exp clear-num sub-neg frac-2neg 1-exp associate-*r/
1×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod fma-udef pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 163
Calls
4 calls:
19.0ms
(* z (- t a))
11.0ms
(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
0.0ms
(fma y x (* z (- t a)))
7.0ms
(/ (fma z (- b y) y) (fma y x (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* z (- t a))
739.0ms
(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
76.0ms
(fma y x (* z (- t a)))
219.0ms
(/ (fma z (- b y) y) (fma y x (* z (- t a))))

simplify1.4s

Counts
175 → 175
Iterations
IterNodes
done5001
22438
1599
0265

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(fma y x (+ (* t z) (* (- a) z)))
0.8b
(/ 1 (fma z (- b y) y))
1.4b
(+ (* t z) (* (- a) z))
25.2b
(* (fma y x (+ (* t z) (* (- a) z))) (/ 1 (fma z (- b y) y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
6×add-log-exp
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×distribute-lft-neg-out cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ distribute-rgt-out unsub-neg pow-prod-down associate-*r/ un-div-inv *-commutative flip-+ fma-udef pow-flip inv-pow
Counts
4 → 98
Calls
4 calls:
0.0ms
(fma y x (+ (* t z) (* (- a) z)))
4.0ms
(/ 1 (fma z (- b y) y))
7.0ms
(+ (* t z) (* (- a) z))
21.0ms
(* (fma y x (+ (* t z) (* (- a) z))) (/ 1 (fma z (- b y) y)))

series883.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma y x (+ (* t z) (* (- a) z)))
77.0ms
(/ 1 (fma z (- b y) y))
51.0ms
(+ (* t z) (* (- a) z))
680.0ms
(* (fma y x (+ (* t z) (* (- a) z))) (/ 1 (fma z (- b y) y)))

simplify1.4s

Counts
110 → 110
Iterations
IterNodes
done5001
21387
1326
0133

prune792.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.2b

regimes1.3s

Accuracy

-1.7% (12.5b remaining)

Error of 23.1b against oracle of 10.6b and baseline of 22.9b

bsearch333.0ms

Steps
ItersRangePoint
9
7.848435625242267e+195
9.641103676607293e+202
2.036084530670261e+199
11
5.659225774733232e-202
2.332759117230354e-171
5.963446547461525e-202
6
-3.126645723736485e-171
-2.7269492497284435e-172
-2.7968262275400874e-172
8
-2.0003538938970096e+122
-4.429352903948451e+119
-1.971825994473463e+122

simplify4.0ms

Iterations
IterNodes
done28
128
027

end0.0ms

sample1.4s

Algorithm
intervals
Results
928.0ms8442×body80valid