Details

Time bar (total: 8.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
4.0b
(* y (+ 1.0 (* z z)))
4.1b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
5×pow1 add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def flip3-+ associate-*r* associate-*l* prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv
2×associate-/r/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 90
Calls
3 calls:
6.0ms
(+ 1.0 (* z z))
19.0ms
(* y (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series151.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ 1.0 (* z z))
56.0ms
(* y (+ 1.0 (* z z)))
61.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify999.0ms

Counts
99 → 99
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
01711238
14271205
21414956
done5000953

prune245.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (fma z z 1.0))
3.9b
(* (/ 1.0 x) (/ (/ 1 (fma z z 1.0)) y))
3.9b
(/ (/ 1 (fma z z 1.0)) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
123×add-sqr-sqrt
97×*-un-lft-identity
95×add-cube-cbrt
51×add-exp-log
43×associate-*r*
31×add-cbrt-cube
25×div-exp
16×associate-/l*
13×cbrt-undiv associate-*l*
11×div-inv
10×prod-exp
8×unswap-sqr
6×pow1 associate-/r* cbrt-unprod
4×rec-exp 1-exp
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 201
Calls
3 calls:
6.0ms
(/ 1 (fma z z 1.0))
46.0ms
(* (/ 1.0 x) (/ (/ 1 (fma z z 1.0)) y))
13.0ms
(/ (/ 1 (fma z z 1.0)) y)

series168.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (fma z z 1.0))
73.0ms
(* (/ 1.0 x) (/ (/ 1 (fma z z 1.0)) y))
47.0ms
(/ (/ 1 (fma z z 1.0)) y)

simplify1.3s

Counts
210 → 210
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03133404
18403010
222822671
done50012652

prune419.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (fma z z 1.0))
3.5b
(/ (/ 1 (fma z z 1.0)) x)
3.6b
(/ (/ (/ 1 (fma z z 1.0)) x) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
237×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
59×associate-/l*
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
10×cbrt-undiv
9×associate-/r*
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip inv-pow
Counts
3 → 303
Calls
3 calls:
6.0ms
(/ 1 (fma z z 1.0))
12.0ms
(/ (/ 1 (fma z z 1.0)) x)
28.0ms
(/ (/ (/ 1 (fma z z 1.0)) x) y)

series159.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ 1 (fma z z 1.0))
49.0ms
(/ (/ 1 (fma z z 1.0)) x)
64.0ms
(/ (/ (/ 1 (fma z z 1.0)) x) y)

simplify1.1s

Counts
312 → 312
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04866127
110795506
222515249
done50005239

prune549.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.3b

localize21.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (/ (* (cbrt (/ 1 (fma z z 1.0))) (cbrt (/ 1 (fma z z 1.0)))) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y)))
16.4b
(cbrt (/ 1 (fma z z 1.0)))
16.4b
(cbrt (/ 1 (fma z z 1.0)))
16.4b
(cbrt (/ 1 (fma z z 1.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
39×cbrt-prod
34×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
18×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
6×div-inv
5×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-div pow1/3
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 116
Calls
4 calls:
34.0ms
(/ (/ (* (cbrt (/ 1 (fma z z 1.0))) (cbrt (/ 1 (fma z z 1.0)))) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y)))
3.0ms
(cbrt (/ 1 (fma z z 1.0)))
3.0ms
(cbrt (/ 1 (fma z z 1.0)))
3.0ms
(cbrt (/ 1 (fma z z 1.0)))

series893.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(/ (/ (* (cbrt (/ 1 (fma z z 1.0))) (cbrt (/ 1 (fma z z 1.0)))) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y)))
208.0ms
(cbrt (/ 1 (fma z z 1.0)))
206.0ms
(cbrt (/ 1 (fma z z 1.0)))
209.0ms
(cbrt (/ 1 (fma z z 1.0)))

simplify1.4s

Counts
128 → 128
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02313030
15612778
219882309
done50012159

prune372.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.3b

regimes125.0ms

Accuracy

0% (1.3b remaining)

Error of 6.1b against oracle of 4.8b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample507.0ms

Algorithm
intervals
Results
241.0ms8656×body80valid