Details

Time bar (total: 16.7s)

sample28.0ms

Algorithm
intervals
Results
9.0ms206×body80valid
3.0ms17×body640valid
2.0ms14×body320valid
1.0ms8×body1280valid
1.0ms11×body160valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5002
134169
123568
113113
102621
92078
81683
71107
6562
5259
4129
373
233
116
08

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x 1.0) (+ 1.0 y))
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
23×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ fma-udef div-inv flip--
Counts
2 → 58
Calls
2 calls:
25.0ms
(/ (- x 1.0) (+ 1.0 y))
1.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series107.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- x 1.0) (+ 1.0 y))
75.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify2.4s

Counts
64 → 64
Iterations
IterNodes
done5000
33520
2878
1282
0114

prune352.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 y))
0.3b
(cbrt (+ 1.0 y))
0.3b
(cbrt (+ 1.0 y))
11.3b
(fma (/ (/ (- x 1.0) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y))) y 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 58
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 y))
6.0ms
(cbrt (+ 1.0 y))
6.0ms
(cbrt (+ 1.0 y))
1.0ms
(fma (/ (/ (- x 1.0) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y))) y 1.0)

series517.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ 1.0 y))
123.0ms
(cbrt (+ 1.0 y))
154.0ms
(cbrt (+ 1.0 y))
119.0ms
(fma (/ (/ (- x 1.0) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y))) y 1.0)

simplify2.4s

Counts
70 → 70
Iterations
IterNodes
done5001
32030
2666
1240
0103

prune462.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)) (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
6×pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
18.0ms
(* (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)) (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
1.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series691.0ms

Counts
4 → 12
Calls
4 calls:
443.0ms
(* (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)) (cbrt (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
85.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
84.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
79.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify1.9s

Counts
84 → 84
Iterations
IterNodes
done5006
31615
2594
1227
097

prune606.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

10.4b
(cbrt (* (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0) (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
11.4b
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt log1p-expm1-u add-log-exp
3×fma-udef
1×cbrt-prod pow1/3
Counts
4 → 41
Calls
4 calls:
5.0ms
(cbrt (* (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0) (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
0.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
1.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

series680.0ms

Counts
4 → 12
Calls
4 calls:
440.0ms
(cbrt (* (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0) (fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)))
79.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
74.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)
87.0ms
(fma (/ (- x 1.0) (+ 1.0 y)) y 1.0)

simplify1.6s

Counts
53 → 53
Iterations
IterNodes
done5001
31299
2429
1164
071

prune333.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes136.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 14.6b

bsearch132.0ms

Steps
ItersRangePoint
10
0.778402845272117
1913856845736365.8
127597529.49763255
10
-454307648390.4797
-8.1353853441046
-173188923.7964064

simplify5.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample852.0ms

Algorithm
intervals
Results
305.0ms6068×body80valid
130.0ms530×body320valid
115.0ms747×body640valid
102.0ms357×body1280valid
22.0ms298×body160valid