Details

Time bar (total: 9.6s)

sample54.0ms

Algorithm
intervals
Results
32.0ms277×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2000
131903
121348
11863
10583
9411
8337
7254
6203
5147
496
353
231
118
010

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.1b
(fma (- z t) (/ y (- z a)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 51
Calls
2 calls:
17.0ms
(/ y (- z a))
1.0ms
(fma (- z t) (/ y (- z a)) x)

series164.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- z a))
118.0ms
(fma (- z t) (/ y (- z a)) x)

simplify749.0ms

Counts
57 → 57
Iterations
IterNodes
done2000
31405
2462
1179
094

prune312.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
3.1b
(fma (- z t) (* y (/ 1 (- z a))) x)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod div-inv flip--
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 102
Calls
3 calls:
18.0ms
(/ 1 (- z a))
31.0ms
(* y (/ 1 (- z a)))
0.0ms
(fma (- z t) (* y (/ 1 (- z a))) x)

series169.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (- z a))
40.0ms
(* y (/ 1 (- z a)))
86.0ms
(fma (- z t) (* y (/ 1 (- z a))) x)

simplify860.0ms

Counts
111 → 111
Iterations
IterNodes
done2000
31829
2802
1305
0135

prune534.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ (- z a) y))
3.1b
(fma (- z t) (/ 1 (/ (- z a) y)) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
82×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
19×associate-/r*
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
7×add-cbrt-cube div-exp
5×div-inv
3×pow1 cbrt-undiv associate-/l*
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg associate-/r/ fma-udef pow-flip inv-pow
Counts
2 → 114
Calls
2 calls:
14.0ms
(/ 1 (/ (- z a) y))
1.0ms
(fma (- z t) (/ 1 (/ (- z a) y)) x)

series223.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(/ 1 (/ (- z a) y))
116.0ms
(fma (- z t) (/ 1 (/ (- z a) y)) x)

simplify704.0ms

Counts
120 → 120
Iterations
IterNodes
done2001
21158
1455
0190

prune421.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
12.1b
(/ (- z t) (/ (- z a) y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
355×times-frac
287×*-un-lft-identity
285×add-sqr-sqrt
141×add-cube-cbrt
100×fma-def
72×distribute-lft-out-- difference-of-squares
19×associate-/r*
13×div-inv
7×add-cbrt-cube add-exp-log
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×expm1-log1p-u pow1 div-sub associate-/r/ insert-posit16 log1p-expm1-u associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- associate-+l- flip-+ flip-- distribute-lft-out
Counts
2 → 256
Calls
2 calls:
52.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
17.0ms
(/ (- z t) (/ (- z a) y))

series278.0ms

Counts
2 → 6
Calls
2 calls:
142.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
136.0ms
(/ (- z t) (/ (- z a) y))

simplify587.0ms

Counts
262 → 262
Iterations
IterNodes
done2000
1816
0260

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes516.0ms

Accuracy

63.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch139.0ms

Steps
ItersRangePoint
8
1.297667465286412e-23
6.235985411797372e-20
4.8750961897520596e-23
10
-2.7488372529247084e-118
-5.486675555573355e-135
-8.07137190913606e-119

simplify6.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample1.1s

Algorithm
intervals
Results
784.0ms8707×body80valid
0.0ms2×body160valid
0.0ms1×body2560valid