Details

Time bar (total: 17.8s)

sample29.0ms

Algorithm
intervals
Results
19.0ms306×body80valid

simplify2.0s

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: 14.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
0.2b
(/ (/ PI 2) a)
4.4b
(- (* b b) (* a a))
9.5b
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

rewrite63.0ms

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:
1.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
19.0ms
(/ (/ PI 2) a)
10.0ms
(- (* b b) (* a a))
25.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
71.0ms
(/ (/ PI 2) a)
44.0ms
(- (* b b) (* a a))
177.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

simplify1.4s

Counts
150 → 150
Iterations
IterNodes
done5001
21516
1560
0253

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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

rewrite66.0ms

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:
31.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
11.0ms
(/ (/ PI 2) a)
12.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))

series481.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
113.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
52.0ms
(/ (/ PI 2) a)
131.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))

simplify2.2s

Counts
265 → 265
Iterations
IterNodes
done5000
22809
1937
0391

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×add-sqr-sqrt
95×*-un-lft-identity
73×add-cube-cbrt
33×add-exp-log
23×add-cbrt-cube
21×associate-*r*
18×associate-*l*
16×associate-/l*
12×div-exp
8×cbrt-undiv associate-/r* prod-exp div-inv
7×distribute-lft-out-- difference-of-squares
6×pow1 associate-/r/ unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×distribute-lft-out
2×rec-exp clear-num frac-2neg flip3-- 1-exp flip--
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ fma-udef associate-/l/
Counts
4 → 196
Calls
4 calls:
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
75.0ms
(* (/ 1 (+ b a)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a)))
21.0ms
(/ (/ PI 2) a)
21.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a))

series412.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
170.0ms
(* (/ 1 (+ b a)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a)))
49.0ms
(/ (/ PI 2) a)
103.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a))

simplify2.3s

Counts
208 → 208
Iterations
IterNodes
done5002
22698
1837
0332

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ b a))
0.2b
(* (/ 1 (+ b a)) (* 1/2 (/ PI (* a b))))
0.5b
(/ PI (* a b))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
42×add-cbrt-cube
36×*-un-lft-identity
33×prod-exp
27×times-frac
22×add-sqr-sqrt add-cube-cbrt
20×div-exp
18×associate-*l*
17×cbrt-unprod
11×cbrt-undiv
9×pow1
7×distribute-lft-out
6×associate-/l*
5×rec-exp associate-/r* 1-exp
4×associate-/r/
3×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times associate-*r* associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 123
Calls
3 calls:
12.0ms
(/ 1 (+ b a))
71.0ms
(* (/ 1 (+ b a)) (* 1/2 (/ PI (* a b))))
8.0ms
(/ PI (* a b))

series189.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ 1 (+ b a))
104.0ms
(* (/ 1 (+ b a)) (* 1/2 (/ PI (* a b))))
24.0ms
(/ PI (* a b))

simplify1.7s

Counts
132 → 132
Iterations
IterNodes
done5001
21651
1468
0177

prune437.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes198.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.6s9533×body80valid