Details

Time bar (total: 23.4s)

sample28.0ms

Algorithm
intervals
Results
11.0ms352×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5001
123108
111772
10955
9470
8301
7217
6172
5128
481
343
223
114
08

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) t)
5.8b
(fma (/ (- z x) t) y x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
14.0ms
(/ (- z x) t)
0.0ms
(fma (/ (- z x) t) y x)

series93.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- z x) t)
56.0ms
(fma (/ (- z x) t) y x)

simplify1.5s

Counts
56 → 56
Iterations
IterNodes
done5001
31527
2445
1198
093

prune302.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- z x))
0.4b
(/ 1 (/ t (- z x)))
5.8b
(fma (/ 1 (/ t (- z x))) y x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×fma-udef pow-flip inv-pow
Counts
3 → 159
Calls
3 calls:
17.0ms
(/ t (- z x))
28.0ms
(/ 1 (/ t (- z x)))
1.0ms
(fma (/ 1 (/ t (- z x))) y x)

series154.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ t (- z x))
41.0ms
(/ 1 (/ t (- z x)))
71.0ms
(fma (/ 1 (/ t (- z x))) y x)

simplify3.3s

Counts
168 → 168
Iterations
IterNodes
done5000
34974
21379
1543
0227

prune710.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y t) (- z x)) x)
6.7b
(* (/ y t) (- z x))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- prod-exp associate-*r/ cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
34.0ms
(+ (* (/ y t) (- z x)) x)
50.0ms
(* (/ y t) (- z x))

series161.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (* (/ y t) (- z x)) x)
97.0ms
(* (/ y t) (- z x))

simplify1.8s

Counts
104 → 104
Iterations
IterNodes
done5000
21582
1491
0178

prune594.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (/ (- z x) (/ t y)) (/ (fma x -1 x) (/ t y))) x)
1.2b
(/ (fma x -1 x) (/ t y))
7.3b
(/ (- z x) (/ t y))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
282×times-frac
230×*-un-lft-identity
158×add-sqr-sqrt
130×add-cube-cbrt
32×fma-def
30×distribute-lft-out
27×distribute-lft-out--
26×associate-/r*
18×div-inv
14×difference-of-squares
13×add-cbrt-cube add-exp-log
8×associate-/l* add-log-exp
6×cbrt-undiv div-exp
4×associate-/r/
3×expm1-log1p-u pow1 sum-log log1p-expm1-u
2×clear-num frac-2neg distribute-rgt-out div-sub associate-+l- associate-/l/
1×+-commutative associate-+l+ flip3-+ flip3-- flip-+ flip--
Counts
3 → 225
Calls
3 calls:
1.3s
(+ (+ (/ (- z x) (/ t y)) (/ (fma x -1 x) (/ t y))) x)
14.0ms
(/ (fma x -1 x) (/ t y))
24.0ms
(/ (- z x) (/ t y))

series3.0s

Counts
3 → 9
Calls
3 calls:
1.5s
(+ (+ (/ (- z x) (/ t y)) (/ (fma x -1 x) (/ t y))) x)
1.4s
(/ (fma x -1 x) (/ t y))
70.0ms
(/ (- z x) (/ t y))

simplify2.0s

Counts
234 → 234
Iterations
IterNodes
done5006
22930
1934
0325

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample1.4s

Algorithm
intervals
Results
542.0ms10721×body80valid