Details

Time bar (total: 15.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify465.0ms

Counts
1 → 1
Iterations

Useful iterations: done (465.0ms)

IterNodesCost
01317
12617
26117
314117
436417
588515
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
0.0b
(- (/ (* z z) y) (/ t 2.0))
7.1b
(/ (* z z) y)
9.2b
(/ z (- (/ (* z z) y) (/ t 2.0)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
309×add-sqr-sqrt
261×times-frac
194×*-un-lft-identity
184×prod-diff
164×add-cube-cbrt
58×difference-of-squares
26×div-inv
15×distribute-lft-out--
12×associate-/r/
11×add-exp-log associate-/r* add-cbrt-cube
10×fma-neg
8×add-log-exp
6×flip3-- flip--
5×frac-sub
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp
2×sub-neg frac-2neg diff-log clear-num
1×prod-exp cbrt-unprod
Counts
4 → 306
Calls
4 calls:
57.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
21.0ms
(- (/ (* z z) y) (/ t 2.0))
3.0ms
(/ (* z z) y)
22.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
36.0ms
(- (/ (* z z) y) (/ t 2.0))
19.0ms
(/ (* z z) y)
42.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

simplify1.8s

Counts
318 → 318
Iterations

Useful iterations: 2 (416.0ms)

IterNodesCost
054814131
1133112999
243819665
done50009665

prune617.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
0.0b
(- (/ z (/ y z)) (/ t 2.0))
0.1b
(/ z (/ y z))
9.2b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
1682×times-frac
1245×add-sqr-sqrt
1032×*-un-lft-identity
946×add-cube-cbrt
692×prod-diff
109×div-inv
86×difference-of-squares
47×fma-neg
29×distribute-lft-out--
27×associate-/r/
24×associate-/r*
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×flip3-- flip-- associate-/l*
5×frac-sub
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×sub-neg frac-2neg diff-log clear-num
Counts
4 → 915
Calls
4 calls:
169.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
77.0ms
(- (/ z (/ y z)) (/ t 2.0))
5.0ms
(/ z (/ y z))
78.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
37.0ms
(- (/ z (/ y z)) (/ t 2.0))
19.0ms
(/ z (/ y z))
42.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify781.0ms

Counts
927 → 927
Iterations

Useful iterations: done (714.0ms)

IterNodesCost
0119942873
1270838328
done500138075

prune3.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z (/ 1 (/ y z))) (/ t 2.0))
0.1b
(* z (/ 1 (/ y z)))
0.6b
(/ 1 (/ y z))
9.2b
(/ z (- (* z (/ 1 (/ y z))) (/ t 2.0)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
111×add-sqr-sqrt
99×*-un-lft-identity
97×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
13×prod-diff
11×div-inv
7×pow1 cbrt-undiv prod-exp
6×associate-/r/ associate-/l* add-log-exp
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp frac-sub log1p-expm1-u
3×associate-*r/ associate-*l* un-div-inv cbrt-unprod
2×flip3-- frac-2neg clear-num flip--
1×sub-neg pow-flip fma-neg diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 216
Calls
4 calls:
12.0ms
(- (* z (/ 1 (/ y z))) (/ t 2.0))
24.0ms
(* z (/ 1 (/ y z)))
5.0ms
(/ 1 (/ y z))
21.0ms
(/ z (- (* z (/ 1 (/ y z))) (/ t 2.0)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* z (/ 1 (/ y z))) (/ t 2.0))
24.0ms
(* z (/ 1 (/ y z)))
8.0ms
(/ 1 (/ y z))
41.0ms
(/ z (- (* z (/ 1 (/ y z))) (/ t 2.0)))

simplify2.0s

Counts
228 → 228
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03753295
19282637
236322154
done50012152

prune504.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (/ y z)) (/ t 2.0))
0.1b
(/ z (/ y z))
0.4b
(/ 1 (/ (- (/ z (/ y z)) (/ t 2.0)) z))
9.2b
(/ (- (/ z (/ y z)) (/ t 2.0)) z)

rewrite451.0ms

Algorithm
rewrite-expression-head
Rules
1858×times-frac
1315×add-sqr-sqrt
1060×*-un-lft-identity
958×add-cube-cbrt
572×prod-diff
111×div-inv
102×difference-of-squares
53×associate-/r*
44×fma-neg
34×distribute-lft-out--
22×add-exp-log
17×associate-/l*
16×associate-/r/ add-cbrt-cube
11×div-exp
7×cbrt-undiv
6×add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num associate-/l/
2×rec-exp flip3-- 1-exp frac-sub flip--
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 950
Calls
4 calls:
78.0ms
(- (/ z (/ y z)) (/ t 2.0))
5.0ms
(/ z (/ y z))
85.0ms
(/ 1 (/ (- (/ z (/ y z)) (/ t 2.0)) z))
188.0ms
(/ (- (/ z (/ y z)) (/ t 2.0)) z)

series160.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (/ z (/ y z)) (/ t 2.0))
19.0ms
(/ z (/ y z))
42.0ms
(/ 1 (/ (- (/ z (/ y z)) (/ t 2.0)) z))
60.0ms
(/ (- (/ z (/ y z)) (/ t 2.0)) z)

simplify823.0ms

Counts
962 → 962
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
0113536202
1253431920
done500131674

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01315
11615
done1615

end0.0ms

sample523.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid