Details

Time bar (total: 47.5s)

sample56.0ms

Algorithm
intervals
Results
31.0ms347×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
099
1159
2269
3498
4968
51398
61778
72128
82538
93388
104338
115058
125658
135918
done5918

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

3.5b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- z t) x)

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(fma (/ y a) (- z t) x)

simplify881.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
024154
141154
294138
3267123
41175123
done5000123

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ a y)) x)
5.8b
(/ (- z t) (/ a y))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
126.0ms
(+ (/ (- z t) (/ a y)) x)
26.0ms
(/ (- z t) (/ a y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (/ (- z t) (/ a y)) x)
63.0ms
(/ (- z t) (/ a y))

simplify1.4s

Counts
194 → 194
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02241920
16031786
219181697
done50001689

prune660.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (/ z (/ a y)) (/ t (/ a y))) x)
0.0b
(- (/ z (/ a y)) (/ t (/ a y)))
4.3b
(/ z (/ a y))
4.9b
(/ t (/ a y))

rewrite2.8s

Algorithm
rewrite-expression-head
Rules
11956×times-frac
6384×add-sqr-sqrt
6373×*-un-lft-identity
6312×add-cube-cbrt
3872×prod-diff
1938×associate-+l+
726×div-inv
183×associate-/r/
44×fma-neg
29×distribute-lft-out--
28×fma-def
26×associate-/r*
18×difference-of-squares
14×add-exp-log add-cbrt-cube
11×add-log-exp
6×cbrt-undiv div-exp associate-/l*
4×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×sub-neg frac-2neg diff-log clear-num sum-log distribute-lft-out
1×+-commutative associate-+l- flip3-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
4 → 4148
Calls
4 calls:
1.4s
(+ (- (/ z (/ a y)) (/ t (/ a y))) x)
199.0ms
(- (/ z (/ a y)) (/ t (/ a y)))
15.0ms
(/ z (/ a y))
15.0ms
(/ t (/ a y))

series210.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ (- (/ z (/ a y)) (/ t (/ a y))) x)
62.0ms
(- (/ z (/ a y)) (/ t (/ a y)))
31.0ms
(/ z (/ a y))
54.0ms
(/ t (/ a y))

simplify1.8s

Counts
4160 → 4160
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02484201102
done5000185632

prune30.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (/ z a) (/ t a))
6.0b
(fma y (- (/ z a) (/ t a)) x)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
205×add-sqr-sqrt
201×*-un-lft-identity
193×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef sub-div
Counts
2 → 217
Calls
2 calls:
45.0ms
(- (/ z a) (/ t a))
1.0ms
(fma y (- (/ z a) (/ t a)) x)

series90.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (/ z a) (/ t a))
56.0ms
(fma y (- (/ z a) (/ t a)) x)

simplify4.8s

Counts
223 → 223
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
03298064
17157070
215385123
348613703
done50003703

prune393.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes285.0ms

Accuracy

54.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.5b

bsearch88.0ms

Steps
ItersRangePoint
10
2.5809242965222377e-83
1.4925139665533896e-65
7.661482294517788e-69
6
-4.229402502206854e+45
-5.853364087525689e+44
-7.263328688146093e+44

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02439
12739
done2739

end0.0ms

sample1.3s

Algorithm
intervals
Results
708.0ms10523×body80valid