Details

Time bar (total: 21.9s)

sample56.0ms

Algorithm
intervals
Results
20.0ms275×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
01011
11811
23311
36110
411610
519010
628010
737710
867110
9125710
10367910
done500010

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
2.2b
(fma (/ y (- z a)) (- z t) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
17.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series166.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ y (- z a))
117.0ms
(fma (/ y (- z a)) (- z t) x)

simplify919.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
092552
1177535
2458495
31646495
done5000495

prune372.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.8b
(/ 1 (/ (- z a) y))
2.2b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
29.0ms
(/ (- z a) y)
34.0ms
(/ 1 (/ (- z a) y))
1.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series316.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- z a) y)
124.0ms
(/ 1 (/ (- z a) y))
151.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify1.8s

Counts
161 → 161
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02102152
15241827
225501737
done50001552

prune783.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
0.0b
(/ (- z a) y)
9.6b
(/ (- z t) (/ (- z a) y))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
157.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
43.0ms
(/ (- z a) y)
46.0ms
(/ (- z t) (/ (- z a) y))

series341.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
43.0ms
(/ (- z a) y)
136.0ms
(/ (- z t) (/ (- z a) y))

simplify2.3s

Counts
303 → 303
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02793442
18763264
241803113
done50023107

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ (- z t) (- z a)) (/ 1 y)) x)
0.0b
(/ (- z t) (- z a))
1.8b
(/ (/ (- z t) (- z a)) (/ 1 y))

rewrite649.0ms

Algorithm
rewrite-expression-head
Rules
2073×times-frac
1320×*-un-lft-identity
1318×add-sqr-sqrt
754×add-cube-cbrt
408×fma-def
282×distribute-lft-out-- difference-of-squares
93×div-inv
58×associate-/r/
36×associate-/l*
29×flip3-- flip--
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 951
Calls
3 calls:
410.0ms
(+ (/ (/ (- z t) (- z a)) (/ 1 y)) x)
50.0ms
(/ (- z t) (- z a))
72.0ms
(/ (/ (- z t) (- z a)) (/ 1 y))

series420.0ms

Counts
3 → 9
Calls
3 calls:
149.0ms
(+ (/ (/ (- z t) (- z a)) (/ 1 y)) x)
79.0ms
(/ (- z t) (- z a))
192.0ms
(/ (/ (- z t) (- z a)) (/ 1 y))

simplify1.3s

Counts
960 → 960
Iterations

Useful iterations: done (1.3s)

IterNodesCost
070913672
1250811805
done500111652

prune4.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes385.0ms

Accuracy

2.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.5b

bsearch164.0ms

Steps
ItersRangePoint
9
1.4660152555626462e-168
2.1503862826174094e-161
4.647361154760724e-162
9
-3.250955090314778e-217
-6.894993945266219e-223
-2.666198233529834e-218

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02145
12833
done2833

end0.0ms

sample1.3s

Algorithm
intervals
Results
649.0ms8713×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid