Details

Time bar (total: 12.0s)

sample41.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify941.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (429.0ms)

IterNodesCost
01317
12617
26217
314817
436017
5167715
done500115

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ (* y t) z))
0.4b
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.2b
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
3.0b
(/ (* y t) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
11×add-exp-log add-cbrt-cube
7×prod-diff
6×associate-/r* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp div-inv
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg fma-neg diff-log prod-exp cbrt-unprod fma-udef
Counts
4 → 86
Calls
4 calls:
13.0ms
(- (* z 2.0) (/ (* y t) z))
17.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
18.0ms
(/ (* y t) z)

series180.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* z 2.0) (/ (* y t) z))
39.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
75.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
21.0ms
(/ (* y t) z)

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: 2 (270.0ms)

IterNodesCost
01711491
14231386
221831225
done50001225

prune398.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ y (/ z t)))
0.4b
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
1.2b
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
4.6b
(/ y (/ z t))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
89×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×prod-diff
16×associate-/r*
11×add-exp-log add-cbrt-cube
10×div-inv
6×associate-/l* add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u
2×flip3-- frac-2neg clear-num flip--
1×sub-neg fma-neg diff-log fma-udef
Counts
4 → 172
Calls
4 calls:
29.0ms
(- (* z 2.0) (/ y (/ z t)))
63.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
12.0ms
(/ y (/ z t))

series224.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* z 2.0) (/ y (/ z t)))
44.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
80.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y x)
26.0ms
(/ y (/ z t))

simplify829.0ms

Counts
184 → 184
Iterations

Useful iterations: done (818.0ms)

IterNodesCost
04514284
112814019
done50003387

prune822.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y) x)
0.4b
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
4.6b
(/ y (/ z t))
4.9b
(* (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y)

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
72×add-sqr-sqrt
70×add-cube-cbrt *-un-lft-identity
34×associate-*l*
16×associate-/r*
15×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
8×div-inv
7×associate-/r/
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×flip3-- associate-*r* flip--
2×frac-2neg clear-num
1×+-commutative distribute-lft-neg-out neg-mul-1 fma-def flip3-+ pow-prod-down associate-*l/ prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-neg-frac unswap-sqr
Counts
4 → 170
Calls
4 calls:
45.0ms
(+ (* (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y) x)
34.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
11.0ms
(/ y (/ z t))
156.0ms
(* (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y)

series177.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (* (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y) x)
39.0ms
(/ 2.0 (- (* z 2.0) (/ y (/ z t))))
25.0ms
(/ y (/ z t))
45.0ms
(* (- (/ 2.0 (- (* z 2.0) (/ y (/ z t))))) y)

simplify1.5s

Counts
182 → 182
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03022689
18062548
235992397
done50002396

prune640.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ y (/ z t)))
0.0b
(+ (/ (* (- 2.0) y) (- (* z 2.0) (/ y (/ z t)))) x)
4.6b
(/ y (/ z t))
4.8b
(/ (* (- 2.0) y) (- (* z 2.0) (/ y (/ z t))))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
87×*-un-lft-identity
85×add-sqr-sqrt add-cube-cbrt
44×prod-diff
16×associate-/r*
14×add-exp-log add-cbrt-cube
11×div-inv
9×fma-def
8×add-log-exp
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×flip3-- flip--
2×frac-2neg clear-num
1×+-commutative distribute-lft-neg-out sub-neg flip3-+ fma-neg diff-log distribute-frac-neg prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 180
Calls
4 calls:
38.0ms
(- (* z 2.0) (/ y (/ z t)))
194.0ms
(+ (/ (* (- 2.0) y) (- (* z 2.0) (/ y (/ z t)))) x)
14.0ms
(/ y (/ z t))
68.0ms
(/ (* (- 2.0) y) (- (* z 2.0) (/ y (/ z t))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (* z 2.0) (/ y (/ z t)))
367.0ms
(+ (/ (* (- 2.0) y) (- (* z 2.0) (/ y (/ z t)))) x)
27.0ms
(/ y (/ z t))
241.0ms
(/ (* (- 2.0) y) (- (* z 2.0) (/ y (/ z t))))

simplify615.0ms

Counts
192 → 192
Iterations

Useful iterations: done (600.0ms)

IterNodesCost
04594390
113694093
done50003466

prune816.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

regimes269.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11816
22416
32516
done2516

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid