Details

Time bar (total: 24.1s)

sample40.0ms

Algorithm
intervals
Results
28.0ms325×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
41503
3361
295
133
015

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
0.3b
(/ (/ PI 2) a)
4.8b
(- (* b b) (* a a))
7.9b
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
55×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv add-log-exp
5×difference-of-squares
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
2×clear-num frac-2neg flip3-- associate-/r/ flip--
1×sub-neg fma-neg diff-log prod-diff fma-udef associate-/l/
Counts
4 → 138
Calls
4 calls:
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
14.0ms
(/ (/ PI 2) a)
17.0ms
(- (* b b) (* a a))
31.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
49.0ms
(/ (/ PI 2) a)
37.0ms
(- (* b b) (* a a))
132.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

simplify1.5s

Counts
150 → 150
Iterations
IterNodes
done5001
21516
1560
0253

prune910.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
0.2b
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
0.2b
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
0.3b
(/ (/ PI 2) a)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
204×*-un-lft-identity
160×add-sqr-sqrt
122×add-cube-cbrt
34×associate-/l*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
16×add-cbrt-cube add-exp-log associate-/r/
13×div-inv
12×associate-/r*
7×cbrt-undiv flip3-+ div-exp flip-+
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×flip3-- fma-udef flip--
Counts
4 → 253
Calls
4 calls:
18.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
9.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
15.0ms
(/ (/ PI 2) a)

series509.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
104.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
168.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
63.0ms
(/ (/ PI 2) a)

simplify2.2s

Counts
265 → 265
Iterations
IterNodes
done5002
22753
1922
0391

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a))
0.2b
(/ PI b)
0.2b
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
0.3b
(/ PI a)

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
3882×times-frac
2704×*-un-lft-identity
2490×add-sqr-sqrt
1112×add-cube-cbrt
602×distribute-lft-out--
515×difference-of-squares
281×distribute-lft-out
213×div-inv
212×associate-/l*
22×add-cbrt-cube add-exp-log
16×associate-/r/
15×associate-/r*
11×cbrt-undiv div-exp
7×flip3-+ flip-+
5×div-sub
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×associate-/l/
1×flip3-- flip--
Counts
4 → 1309
Calls
4 calls:
67.0ms
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a))
7.0ms
(/ PI b)
31.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
4.0ms
(/ PI a)

series366.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a))
47.0ms
(/ PI b)
135.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
46.0ms
(/ PI a)

simplify2.8s

Counts
1321 → 1321
Iterations
IterNodes
done5000
13464
01489

prune5.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (/ 1 (- b a)))
0.2b
(/ PI b)
0.2b
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
0.3b
(/ PI a)

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
962×times-frac
696×*-un-lft-identity
669×add-sqr-sqrt
309×add-cube-cbrt
166×associate-*l*
138×distribute-lft-out--
111×difference-of-squares
81×distribute-lft-out
68×div-inv
52×add-exp-log
46×associate-/l*
34×add-cbrt-cube
23×div-exp
21×associate-*r*
14×cbrt-undiv
12×prod-exp
10×associate-/r*
9×unswap-sqr
6×pow1 associate-/r/ cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg 1-exp
2×flip3-+ div-sub flip-+
1×frac-times flip3-- pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative flip-- associate-/l/
Counts
4 → 515
Calls
4 calls:
114.0ms
(* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (/ 1 (- b a)))
7.0ms
(/ PI b)
59.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
4.0ms
(/ PI a)

series283.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (/ 1 (- b a)))
26.0ms
(/ PI b)
118.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
46.0ms
(/ PI a)

simplify1.7s

Counts
527 → 527
Iterations
IterNodes
done5001
11879
0672

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s9595×body80valid