Details

Time bar (total: 3.9s)

sample36.0ms

Algorithm
intervals
Results
10.0ms37×body1280valid
7.0ms187×body80valid
6.0ms33×body640valid
2.0ms14×body320valid
1.0ms16×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×times-frac
21×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
13×associate-*r*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×associate-*l* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 83
Calls
3 calls:
3.0ms
(/ (sin y) y)
8.0ms
(* x (/ (sin y) y))
5.0ms
(/ (* x (/ (sin y) y)) z)

series151.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (sin y) y)
53.0ms
(* x (/ (sin y) y))
72.0ms
(/ (* x (/ (sin y) y)) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326487
11643420
25001420

prune195.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
1.5b
(/ x (/ z (/ (sin y) y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×associate-/r*
23×div-inv
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/l*
6×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
Counts
3 → 293
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
15.0ms
(/ x (/ z (/ (sin y) y)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
83.0ms
(/ x (/ z (/ (sin y) y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011102950
150012830

prune807.0ms

Filtered
302 candidates to 259 candidates (85.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ (/ (sin y) y) z)
1.6b
(* x (/ (/ (sin y) y) z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
43×associate-*r*
19×add-exp-log add-cbrt-cube
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 162
Calls
3 calls:
3.0ms
(/ (sin y) y)
6.0ms
(/ (/ (sin y) y) z)
22.0ms
(* x (/ (/ (sin y) y) z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
33.0ms
(/ (/ (sin y) y) z)
70.0ms
(* x (/ (/ (sin y) y) z))

simplify74.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune394.0ms

Filtered
171 candidates to 138 candidates (80.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (* (sin y) (/ 1 y)))
0.2b
(* (sin y) (/ 1 y))
1.5b
(/ x (/ z (* (sin y) (/ 1 y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
49×add-exp-log
38×add-sqr-sqrt
32×*-un-lft-identity
31×add-cube-cbrt add-cbrt-cube
22×div-exp
13×cbrt-undiv associate-*r*
12×prod-exp
11×associate-/r/
10×associate-/r*
7×div-inv
6×associate-*r/ un-div-inv cbrt-unprod associate-/l*
5×pow1
3×rec-exp 1-exp associate-*l* add-log-exp unswap-sqr
2×frac-2neg clear-num
1×pow-prod-down *-commutative
Counts
3 → 123
Calls
3 calls:
5.0ms
(/ z (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))
8.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

series179.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ z (* (sin y) (/ 1 y)))
32.0ms
(* (sin y) (/ 1 y))
83.0ms
(/ x (/ z (* (sin y) (/ 1 y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0535862
12527710
25001697

prune237.0ms

Filtered
132 candidates to 90 candidates (68.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

45.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.9b

bsearch40.0ms

Steps
ItersRangePoint
8
-6.592606952435695e-68
-5.891617265890586e-71
-5.342454432037951e-68

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179
1179

end0.0ms

sample1.0s

Algorithm
intervals
Results
307.0ms1067×body1280valid
242.0ms5847×body80valid
180.0ms1001×body640valid
79.0ms559×body320valid
24.0ms275×body160valid