Details

Time bar (total: 10.3s)

sample294.0ms

Algorithm
halfpoints

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize36.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.1b
(- (exp x) (exp (- x)))

rewrite19.0ms

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:
11.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms
(- (exp x) (exp (- x)))

simplify38.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0351756
11061585
25001583

prune198.0ms

Filtered
74 candidates to 51 candidates (68.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (* 2 x))
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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
1.0ms
(fma 1/60 (pow x 5) (* 2 x))
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
6.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series283.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(fma 1/60 (pow x 5) (* 2 x))
61.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
93.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify106.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0231541
1894470
24305467
35001467

prune236.0ms

Filtered
63 candidates to 49 candidates (77.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.4b
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 188
Calls
4 calls:
8.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
13.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
4.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
4.0ms
(/ 1 (sqrt 2.0))

series510.0ms

Counts
4 → 10
Calls
4 calls:
165.0ms
(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
221.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
123.0ms
(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06332261
132131931
250011821

prune716.0ms

Filtered
198 candidates to 118 candidates (59.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (sqrt 2.0))) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))))
0.4b
(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
1.0b
(/ 1 (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
216×add-exp-log
181×add-sqr-sqrt
162×times-frac
156×sqrt-prod
116×prod-exp
104×*-un-lft-identity
92×add-cube-cbrt
76×add-cbrt-cube
64×div-exp
53×associate-*l*
34×cbrt-unprod
32×associate-*r*
28×unswap-sqr
22×rec-exp 1-exp
20×pow1 cbrt-undiv
15×associate-/r*
10×associate-*l/
8×pow-flip
7×pow-prod-down
6×frac-times associate-*r/ associate-/l*
5×sqrt-pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/2
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 319
Calls
4 calls:
27.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))))
23.0ms
(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
4.0ms
(/ 1 (sqrt 2.0))
6.0ms
(/ 1 (sqrt (sqrt 2.0)))

series348.0ms

Counts
4 → 8
Calls
4 calls:
125.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0))))
223.0ms
(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
0.0ms
(/ 1 (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
327 → 327
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011464821
150013952

prune821.0ms

Filtered
327 candidates to 149 candidates (45.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188

end0.0ms

sample6.1s

Algorithm
halfpoints