Details

Time bar (total: 20.4s)

sample273.0ms

Algorithm
halfpoints

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01624
13011
24811
38311
412711
520011
637311
760811
8110511
9152111
10185511
11193911
12195911
done195911

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.8b
(- (exp x) (exp (- x)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
19×add-cube-cbrt associate-*l*
16×times-frac
9×prod-diff
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×fma-neg associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 68
Calls
2 calls:
56.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
21.0ms
(- (exp x) (exp (- x)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(- (exp x) (exp (- x)))

simplify1.9s

Counts
74 → 74
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01491156
13481004
2899843
33520788
done5000779

prune183.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.1b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
0.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
17.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series150.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
92.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify1.7s

Counts
50 → 50
Iterations

Useful iterations: 3 (643.0ms)

IterNodesCost
0991049
12191036
2695896
33306894
done5000894

prune191.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))) (cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))))
15.9b
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))
15.9b
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))
15.9b
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*l/
7×cbrt-prod cbrt-div
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
23.0ms
(* (cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))) (cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))))
7.0ms
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))
7.0ms
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))
10.0ms
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))

series936.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))) (cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))))
218.0ms
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))
222.0ms
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))
218.0ms
(cbrt (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y)))

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01522869
13482665
210022378
334722005
done50001926

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
0.7b
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.7b
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.7b
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
1.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
4.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
1.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

series789.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
336.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
151.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
146.0ms
(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01402846
13062672
27832462
322521982
done50001905

prune397.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.7b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11818
done1818

end0.0ms

sample6.1s

Algorithm
halfpoints