Details

Time bar (total: 20.0s)

sample33.0ms

Algorithm
intervals
Results
10.0ms229×body80valid
3.0ms13×body1280valid
2.0ms16×body640valid
1.0ms10×body320valid
1.0ms13×body160valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (49.0ms)

IterNodesCost
011245
122245
252245
3111245
4242220
5728220
63379220
done5000220

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- a t))
0.3b
(fma (/ (- t z) (- a t)) y x)
3.3b
(+ y (fma (/ (- t z) (- a t)) y x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
25×times-frac
16×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* add-cbrt-cube add-exp-log associate-/l* add-log-exp
3×expm1-log1p-u pow1 fma-def log1p-expm1-u
2×flip3-- associate-/r/ fma-udef flip-- associate-/l/
1×cbrt-undiv +-commutative associate-+r+ clear-num sum-log frac-2neg flip3-+ div-sub div-exp flip-+ div-inv distribute-lft-out
Counts
3 → 82
Calls
3 calls:
33.0ms
(/ (- t z) (- a t))
0.0ms
(fma (/ (- t z) (- a t)) y x)
5.0ms
(+ y (fma (/ (- t z) (- a t)) y x))

series412.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ (- t z) (- a t))
115.0ms
(fma (/ (- t z) (- a t)) y x)
221.0ms
(+ y (fma (/ (- t z) (- a t)) y x))

simplify1.4s

Counts
91 → 91
Iterations

Useful iterations: done (1.4s)

IterNodesCost
013623284
133121964
2101621834
done500021734

prune741.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma y (/ (- t z) (- a t)) y) x)
0.0b
(/ (- t z) (- a t))
3.3b
(fma y (/ (- t z) (- a t)) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
25×times-frac
16×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* add-cbrt-cube add-exp-log associate-/l* add-log-exp
3×expm1-log1p-u pow1 fma-def log1p-expm1-u
2×flip3-- associate-/r/ fma-udef flip-- associate-/l/
1×cbrt-undiv +-commutative associate-+l+ clear-num sum-log frac-2neg flip3-+ div-sub div-exp flip-+ div-inv distribute-lft-out
Counts
3 → 82
Calls
3 calls:
9.0ms
(+ (fma y (/ (- t z) (- a t)) y) x)
36.0ms
(/ (- t z) (- a t))
0.0ms
(fma y (/ (- t z) (- a t)) y)

series415.0ms

Counts
3 → 9
Calls
3 calls:
238.0ms
(+ (fma y (/ (- t z) (- a t)) y) x)
65.0ms
(/ (- t z) (- a t))
112.0ms
(fma y (/ (- t z) (- a t)) y)

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013522951
132221631
2100321526
done500021476

prune741.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- t z))
0.2b
(/ 1 (/ (- a t) (- t z)))
0.3b
(fma (/ 1 (/ (- a t) (- t z))) y x)
3.3b
(+ y (fma (/ 1 (/ (- a t) (- t z))) y x))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
199×*-un-lft-identity
197×add-sqr-sqrt
93×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
8×div-exp associate-/l*
6×flip3-- div-inv flip-- add-log-exp
5×pow1
4×expm1-log1p-u cbrt-undiv log1p-expm1-u
3×fma-def
2×rec-exp clear-num frac-2neg 1-exp fma-udef associate-/l/
1×+-commutative associate-+r+ sum-log flip3-+ div-sub flip-+ pow-flip distribute-lft-out inv-pow
Counts
4 → 232
Calls
4 calls:
40.0ms
(/ (- a t) (- t z))
45.0ms
(/ 1 (/ (- a t) (- t z)))
1.0ms
(fma (/ 1 (/ (- a t) (- t z))) y x)
5.0ms
(+ y (fma (/ 1 (/ (- a t) (- t z))) y x))

series761.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (- a t) (- t z))
220.0ms
(/ 1 (/ (- a t) (- t z)))
340.0ms
(fma (/ 1 (/ (- a t) (- t z))) y x)
117.0ms
(+ y (fma (/ 1 (/ (- a t) (- t z))) y x))

simplify2.2s

Counts
244 → 244
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
029688752
178071885
2380468238
done500268238

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- a t) (/ 1 (- t z)))
0.2b
(/ 1 (* (- a t) (/ 1 (- t z))))
0.3b
(fma (/ 1 (* (- a t) (/ 1 (- t z)))) y x)
4.8b
(+ y (fma (/ 1 (* (- a t) (/ 1 (- t z)))) y x))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
32×add-sqr-sqrt
28×*-un-lft-identity
21×associate-*r*
20×times-frac
18×add-cbrt-cube div-exp
17×add-cube-cbrt
16×prod-exp
9×pow1 rec-exp 1-exp
8×associate-/r/
6×add-log-exp
5×cbrt-undiv flip3-- associate-*l* flip--
4×expm1-log1p-u frac-times associate-*l/ cbrt-unprod log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-def associate-/l* unswap-sqr
2×pow-prod-down associate-*r/ un-div-inv fma-udef div-inv pow-flip
1×+-commutative associate-+r+ clear-num associate-/r* sum-log frac-2neg flip3-+ *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 126
Calls
4 calls:
80.0ms
(* (- a t) (/ 1 (- t z)))
45.0ms
(/ 1 (* (- a t) (/ 1 (- t z))))
0.0ms
(fma (/ 1 (* (- a t) (/ 1 (- t z)))) y x)
5.0ms
(+ y (fma (/ 1 (* (- a t) (/ 1 (- t z)))) y x))

series720.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (- a t) (/ 1 (- t z)))
213.0ms
(/ 1 (* (- a t) (/ 1 (- t z))))
293.0ms
(fma (/ 1 (* (- a t) (/ 1 (- t z)))) y x)
146.0ms
(+ y (fma (/ 1 (* (- a t) (/ 1 (- t z)))) y x))

simplify3.9s

Counts
138 → 138
Iterations

Useful iterations: done (3.9s)

IterNodesCost
020237884
154028462
2373926908
done500026045

prune847.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.6b

regimes866.0ms

Accuracy

39.9% (5.4b remaining)

Error of 8.3b against oracle of 2.9b and baseline of 11.9b

bsearch143.0ms

Steps
ItersRangePoint
9
2.072994944964499e+129
2.1150772836100282e+135
1.0335026219965045e+135
9
-3.959953710600684e+125
-2.0254713304327566e+118
-1.384317655011652e+125

simplify5.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
019602
124602
done24602

end0.0ms

sample1.1s

Algorithm
intervals
Results
516.0ms7377×body80valid
140.0ms493×body640valid
60.0ms267×body1280valid
56.0ms388×body320valid
21.0ms240×body160valid
4.0ms16×body2560valid