Details

Time bar (total: 4.1s)

sample37.0ms

Algorithm
intervals
Results
10.0ms35×body1280valid
8.0ms42×body640valid
7.0ms174×body80valid
2.0ms14×body320valid
1.0ms13×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
4.4b
(/ (* 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:
7.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series149.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune189.0ms

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
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.4b
(* x (/ (/ (sin y) y) z))

rewrite37.0ms

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:
6.0ms
(/ (/ (sin y) y) z)
3.0ms
(/ (sin y) y)
19.0ms
(* x (/ (/ (sin y) y) z))

series131.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (/ (sin y) y) z)
25.0ms
(/ (sin y) y)
70.0ms
(* x (/ (/ (sin y) y) z))

simplify74.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06051176
128621100
250011100

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ z (/ (sin y) y))
0.1b
(/ (sin y) y)
2.7b
(/ 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)
13.0ms
(/ x (/ z (/ (sin y) y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ z (/ (sin y) y))
25.0ms
(/ (sin y) y)
83.0ms
(/ x (/ z (/ (sin y) y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011102950
150012830

prune778.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ y (sin y))
0.2b
(/ 1 (/ y (sin y)))
4.4b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
64×add-exp-log
44×associate-*r*
34×add-cbrt-cube
30×div-exp
19×associate-/r*
14×cbrt-undiv prod-exp
11×div-inv
7×pow1 associate-/l*
6×rec-exp 1-exp cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 207
Calls
4 calls:
21.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series170.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (/ 1 (/ y (sin y))))
22.0ms
(/ y (sin y))
27.0ms
(/ 1 (/ y (sin y)))
70.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify88.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07091445
137211227
250021090

prune377.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

64.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.9b

bsearch64.0ms

Steps
ItersRangePoint
7
8.613719199705148e-128
9.437771947483994e-126
9.282397121001409e-126
7
-7.766279574250494e+200
-6.218506703358778e+198
-6.609178883188517e+198

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample1.0s

Algorithm
intervals
Results
286.0ms1019×body1280valid
251.0ms5803×body80valid
196.0ms1053×body640valid
73.0ms537×body320valid
26.0ms288×body160valid