Details

Time bar (total: 26.5s)

sample60.0ms

Algorithm
intervals
Results
47.0ms325×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
41521
3365
296
133
015

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
47×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
13×add-cbrt-cube add-exp-log
8×associate-/r/
6×div-inv
5×cbrt-undiv div-exp
4×frac-times associate-/r*
3×expm1-log1p-u pow1 flip3-+ flip3-- flip-+ insert-posit16 log1p-expm1-u flip-- add-log-exp
2×clear-num frac-2neg associate-*l/ associate-*r/
1×prod-exp cbrt-unprod fma-udef associate-/l/
Counts
3 → 116
Calls
3 calls:
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
8.0ms
(/ (/ PI 2) a)
19.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- b a) (+ a b)))

series332.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
72.0ms
(/ (/ PI 2) a)
162.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- b a) (+ a b)))

simplify1.6s

Counts
125 → 125
Iterations
IterNodes
done5000
22294
1581
0240

prune781.0ms

Pruning

11 alts after pruning (11 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)) (+ a b))
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)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
205×*-un-lft-identity
161×add-sqr-sqrt
123×add-cube-cbrt
37×associate-/l*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
16×add-cbrt-cube add-exp-log
14×associate-/r/
12×associate-/r* div-inv
7×cbrt-undiv div-exp
6×flip3-- flip--
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×flip3-+ flip-+ fma-udef
Counts
4 → 253
Calls
4 calls:
38.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a)) (+ a b))
0.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
24.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a))
15.0ms
(/ (/ PI 2) a)

series461.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a)) (+ a b))
81.0ms
(fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))
145.0ms
(/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a))
73.0ms
(/ (/ PI 2) a)

simplify2.0s

Counts
265 → 265
Iterations
IterNodes
done5001
22795
1886
0390

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
4088×times-frac
2795×*-un-lft-identity
2753×add-sqr-sqrt
1155×add-cube-cbrt
706×distribute-lft-out--
613×difference-of-squares
252×associate-/l*
226×div-inv
207×distribute-lft-out
22×add-cbrt-cube add-exp-log
15×associate-/r*
14×associate-/r/
11×cbrt-undiv div-exp
6×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 → 1383
Calls
4 calls:
65.0ms
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- b a)) (+ a b))
4.0ms
(/ PI b)
45.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (- b a))
6.0ms
(/ PI a)

series327.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- b a)) (+ a b))
37.0ms
(/ PI b)
101.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (- b a))
45.0ms
(/ PI a)

simplify2.5s

Counts
1395 → 1395
Iterations
IterNodes
done5000
13535
01582

prune6.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
1171×times-frac
940×add-sqr-sqrt
787×*-un-lft-identity
352×add-cube-cbrt
246×distribute-lft-out--
213×difference-of-squares
206×associate-*l*
82×div-inv
52×add-exp-log
46×associate-/l*
34×add-cbrt-cube
23×div-exp
18×associate-*r*
14×cbrt-undiv
12×prod-exp
11×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 distribute-lft-out
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 → 593
Calls
4 calls:
70.0ms
(* (/ (/ (- (/ PI a) (/ PI b)) 2) (- b a)) (/ 1 (+ a b)))
4.0ms
(/ PI b)
39.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (- b a))
4.0ms
(/ PI a)

series299.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (/ (/ (- (/ PI a) (/ PI b)) 2) (- b a)) (/ 1 (+ a b)))
47.0ms
(/ PI b)
92.0ms
(/ (/ (- (/ PI a) (/ PI b)) 2) (- b a))
35.0ms
(/ PI a)

simplify2.3s

Counts
605 → 605
Iterations
IterNodes
done5001
12292
0771

prune3.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes147.0ms

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
done18
118
014

end0.0ms

sample2.3s

Algorithm
intervals
Results
2.1s9595×body80valid