Details

Time bar (total: 31.5s)

sample76.0ms

Algorithm
intervals
Results
58.0ms310×body80valid

simplify1.9s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
0.3b
(/ (/ PI 2) a)
2.3b
(- (* b b) (* a a))
9.0b
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

rewrite52.0ms

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))
15.0ms
(/ (/ PI 2) a)
17.0ms
(- (* b b) (* a a))
16.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
56.0ms
(/ (/ PI 2) a)
56.0ms
(- (* b b) (* a a))
152.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

simplify1.4s

Counts
150 → 150
Iterations
IterNodes
done5001
21516
1560
0253

prune885.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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:
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
13.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
40.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
16.0ms
(/ (/ PI 2) a)

series487.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
148.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
176.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
43.0ms
(/ (/ PI 2) a)

simplify2.3s

Counts
265 → 265
Iterations
IterNodes
done5000
22768
1923
0391

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

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:
58.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
52.0ms
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a))
6.0ms
(/ PI b)
14.0ms
(/ PI a)

series398.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))
148.0ms
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a))
61.0ms
(/ PI b)
30.0ms
(/ PI a)

simplify3.1s

Counts
1321 → 1321
Iterations
IterNodes
done5007
13478
01489

prune5.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
4931×times-frac
3881×add-sqr-sqrt
2921×*-un-lft-identity
1075×add-cube-cbrt
935×difference-of-squares
431×distribute-lft-out--
312×distribute-lft-out
223×associate-/l*
110×div-inv
28×add-exp-log
24×associate-/r*
22×add-cbrt-cube
15×div-exp associate-/r/
11×cbrt-undiv
6×flip3-+ flip-+
5×pow1
4×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
3×div-sub
2×rec-exp 1-exp
1×flip3-- pow-flip flip-- inv-pow associate-/l/
Counts
4 → 1451
Calls
4 calls:
123.0ms
(/ (/ (/ (- (/ 1 (/ a PI)) (/ PI b)) 2) (+ b a)) (- b a))
9.0ms
(/ a PI)
13.0ms
(/ PI b)
8.0ms
(/ 1 (/ a PI))

series298.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(/ (/ (/ (- (/ 1 (/ a PI)) (/ PI b)) 2) (+ b a)) (- b a))
42.0ms
(/ a PI)
68.0ms
(/ PI b)
42.0ms
(/ 1 (/ a PI))

simplify3.6s

Counts
1463 → 1463
Iterations
IterNodes
done5000
14438
01869

prune6.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample2.2s

Algorithm
intervals
Results
2.0s9599×body80valid