Details

Time bar (total: 22.3s)

sample80.0ms

Algorithm
intervals
Results
66.0ms305×body80valid

simplify1.9s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
0.3b
(/ (/ PI 2) a)
2.7b
(- (* b b) (* a a))
11.3b
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

rewrite40.0ms

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))
8.0ms
(/ (/ PI 2) a)
12.0ms
(- (* b b) (* a a))
18.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
51.0ms
(/ (/ PI 2) a)
50.0ms
(- (* b b) (* a a))
148.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))

simplify1.4s

Counts
150 → 150
Iterations
IterNodes
done5001
21516
1560
0253

prune906.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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))
18.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
16.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
15.0ms
(/ (/ PI 2) a)

series444.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
133.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a))
166.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a))
64.0ms
(/ (/ PI 2) a)

simplify2.6s

Counts
265 → 265
Iterations
IterNodes
done5002
22749
1923
0391

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a))
0.2b
(/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))
0.3b
(/ (/ PI 2) a)
0.6b
(/ 1 (/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
952×times-frac
652×*-un-lft-identity
512×add-sqr-sqrt
404×add-cube-cbrt
73×associate-/l*
70×distribute-lft-out
54×distribute-lft-out-- difference-of-squares
41×add-exp-log
36×div-inv
27×associate-/r*
25×add-cbrt-cube div-exp
13×cbrt-undiv
9×associate-/r/
5×pow1
4×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-+ flip3-- flip-+ pow-flip flip-- inv-pow
Counts
4 → 549
Calls
4 calls:
33.0ms
(/ (/ 1 (/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a))
15.0ms
(/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))
7.0ms
(/ (/ PI 2) a)
11.0ms
(/ 1 (/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (/ 1 (/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a))
164.0ms
(/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))
49.0ms
(/ (/ PI 2) a)
148.0ms
(/ 1 (/ (+ b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))

simplify3.2s

Counts
561 → 561
Iterations
IterNodes
done5002
24582
11863
0723

prune2.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
68×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
33×add-exp-log
23×add-cbrt-cube
18×associate-*l*
14×associate-/l*
12×div-exp
8×cbrt-undiv associate-/r* prod-exp
7×div-inv
6×pow1
4×expm1-log1p-u associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* fma-udef distribute-lft-out unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp associate-*l/ distribute-lft-out-- difference-of-squares associate-/l/
1×distribute-rgt-in distribute-lft-in flip3-+ flip3-- pow-prod-down *-commutative flip-+ flip--
Counts
4 → 164
Calls
4 calls:
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
19.0ms
(/ (* (/ 1 (+ b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a))
8.0ms
(/ (/ PI 2) a)
25.0ms
(* (/ 1 (+ b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
185.0ms
(/ (* (/ 1 (+ b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a))
77.0ms
(/ (/ PI 2) a)
148.0ms
(* (/ 1 (+ b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))

simplify2.7s

Counts
176 → 176
Iterations
IterNodes
done5000
22382
1751
0306

prune778.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.9s9637×body80valid