Details

Time bar (total: 21.7s)

sample70.0ms

Algorithm
intervals
Results
42.0ms337×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: done (4.6s)

IterNodesCost
01417
12517
24916
310516
419516
529715
647115
790915
8297515
done500014

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x y) 2.0)
0.0b
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.1b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
98×add-sqr-sqrt
93×add-cube-cbrt
82×times-frac
78×prod-diff
41×associate-+r+
13×fma-def fma-neg
10×add-log-exp
9×div-inv
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg flip3-- diff-log frac-add sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative associate-+r- frac-2neg flip3-+ div-exp clear-num flip-+
Counts
3 → 171
Calls
3 calls:
27.0ms
(- (/ x y) 2.0)
75.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
6.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series154.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (/ x y) 2.0)
72.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
61.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify3.1s

Counts
180 → 180
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02413282
15182688
212172428
341562153
done50002153

prune630.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x y) 2.0)
0.0b
(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.0b
(+ (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- (/ x y) 2.0))
0.5b
(/ 2.0 (* t z))

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
89×add-sqr-sqrt
84×add-cube-cbrt
78×prod-diff
70×times-frac
41×associate-+r+
20×add-log-exp
13×fma-neg div-inv
12×fma-def
10×distribute-lft-out
9×add-exp-log frac-add add-cbrt-cube
7×sum-log
4×pow1 expm1-log1p-u flip3-- flip3-+ flip-- flip-+ log1p-expm1-u
3×diff-log associate-/l* distribute-lft-out--
2×cbrt-undiv +-commutative sub-neg div-exp difference-of-squares
1×associate-+r- associate-+l+ frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 189
Calls
4 calls:
37.0ms
(- (/ x y) 2.0)
30.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
372.0ms
(+ (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- (/ x y) 2.0))
16.0ms
(/ 2.0 (* t z))

series176.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (/ x y) 2.0)
57.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
60.0ms
(+ (+ (/ 2.0 (* t z)) (/ 2.0 t)) (- (/ x y) 2.0))
27.0ms
(/ 2.0 (* t z))

simplify3.2s

Counts
201 → 201
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02743830
17463176
226492911
done50012726

prune789.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (fma x (/ 1 y) (- 2.0)))
0.1b
(fma x (/ 1 y) (- 2.0))
0.1b
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
18×add-sqr-sqrt add-cube-cbrt times-frac
13×fma-def
5×add-exp-log add-cbrt-cube add-log-exp
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×fma-udef div-inv
1×cbrt-undiv +-commutative associate-+r+ frac-2neg flip3-+ div-exp clear-num sum-log flip-+ distribute-lft-out
Counts
3 → 67
Calls
3 calls:
18.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (fma x (/ 1 y) (- 2.0)))
0.0ms
(fma x (/ 1 y) (- 2.0))
8.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series215.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (fma x (/ 1 y) (- 2.0)))
40.0ms
(fma x (/ 1 y) (- 2.0))
67.0ms
(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify1.3s

Counts
76 → 76
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0101970
1205914
2522793
31721790
done5000789

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t))
0.0b
(+ (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t)) (- (/ x y) 2.0))
0.4b
(/ (* t z) (sqrt 2.0))
0.6b
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

rewrite966.0ms

Algorithm
rewrite-expression-head
Rules
235×times-frac
149×*-un-lft-identity
125×add-sqr-sqrt add-cube-cbrt
108×sqrt-prod
70×fma-def
41×associate-+r+
39×prod-diff
19×div-inv
18×add-exp-log add-cbrt-cube add-log-exp
16×associate-/r*
10×distribute-lft-out
9×frac-add
7×cbrt-undiv div-exp sum-log associate-/l*
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u
3×flip3-- flip--
2×+-commutative frac-2neg diff-log prod-exp clear-num associate-/r/ cbrt-unprod distribute-lft-out--
1×associate-+r- sub-neg associate-+l+
Counts
4 → 279
Calls
4 calls:
116.0ms
(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t))
800.0ms
(+ (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t)) (- (/ x y) 2.0))
11.0ms
(/ (* t z) (sqrt 2.0))
21.0ms
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

series540.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t))
194.0ms
(+ (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t)) (- (/ x y) 2.0))
100.0ms
(/ (* t z) (sqrt 2.0))
109.0ms
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

simplify2.0s

Counts
291 → 291
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03764707
19864223
233843526
done50003407

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10415×body80valid