Details

Time bar (total: 8.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms335×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
18.0ms
(* x (- 1.0 (* x y)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* x (- 1.0 (* x y)))

simplify1.7s

Counts
35 → 35
Iterations

Useful iterations: done (1.7s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune66.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt (* x (- 1.0 (* x y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
22.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
6.0ms
(cbrt (* x (- 1.0 (* x y))))
6.0ms
(cbrt (* x (- 1.0 (* x y))))
6.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
274.0ms
(cbrt (* x (- 1.0 (* x y))))
271.0ms
(cbrt (* x (- 1.0 (* x y))))
271.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify771.0ms

Counts
92 → 92
Iterations

Useful iterations: done (768.0ms)

IterNodesCost
01722160
14461980
214661828
done50011509

prune248.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* x y))))
1.3b
(/ (* (cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y)))) (cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
6.3b
(cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))
6.3b
(cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×add-cbrt-cube associate-/l/
4×pow1 cbrt-undiv add-sqr-sqrt expm1-log1p-u frac-times add-cube-cbrt *-un-lft-identity div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
6.0ms
(cbrt (* x (- 1.0 (* x y))))
37.0ms
(/ (* (cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y)))) (cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
14.0ms
(cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))
15.0ms
(cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))

series851.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (* x (- 1.0 (* x y))))
288.0ms
(/ (* (cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y)))) (cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
147.0ms
(cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))
152.0ms
(cbrt (* (* x (fma y x 1.0)) (- 1.0 (* x y))))

simplify957.0ms

Counts
82 → 82
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
02102518
15872331
221301924
done50011828

prune323.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 1.0 (* y x)) (fma x y 1.0))
1.4b
(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
5.7b
(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt associate-*l/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r*
4×associate-*l* pow-prod-down
3×cbrt-undiv expm1-log1p-u flip3-- times-frac div-exp associate-/r* flip-- log1p-expm1-u add-log-exp
2×associate-/r/ *-commutative fma-udef associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
17.0ms
(* (- 1.0 (* y x)) (fma x y 1.0))
31.0ms
(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
35.0ms
(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(* (- 1.0 (* y x)) (fma x y 1.0))
96.0ms
(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
104.0ms
(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

simplify824.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
01381503
13781426
218621186
done50011186

prune171.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample391.0ms

Algorithm
intervals
Results
176.0ms10521×body80valid