Details

Time bar (total: 4.2s)

sample40.0ms

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

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
8.0ms
(* x (/ (sin y) y))
3.0ms
(/ (sin y) y)
5.0ms
(/ (* x (/ (sin y) y)) z)

series153.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune210.0ms

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×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 168
Calls
3 calls:
7.0ms
(/ (/ (sin y) y) z)
3.0ms
(/ (sin y) y)
20.0ms
(* x (/ (/ (sin y) y) z))

series135.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (/ (sin y) y) z)
27.0ms
(/ (sin y) y)
72.0ms
(* x (/ (/ (sin y) y) z))

simplify73.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06131200
128781122
250011122

prune406.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
3 → 299
Calls
3 calls:
5.0ms
(/ z (/ (sin y) y))
3.0ms
(/ (sin y) y)
12.0ms
(/ x (/ z (/ (sin y) y)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ z (/ (sin y) y))
28.0ms
(/ (sin y) y)
74.0ms
(/ x (/ z (/ (sin y) y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011172974
150012852

prune801.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)

rewrite47.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 215
Calls
4 calls:
20.0ms
(* x (/ 1 (/ y (sin y))))
2.0ms
(/ y (sin y))
5.0ms
(/ 1 (/ y (sin y)))
10.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series206.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* x (/ 1 (/ y (sin y))))
38.0ms
(/ y (sin y))
39.0ms
(/ 1 (/ y (sin y)))
69.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07201479
137141260
250021123

prune444.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

64.7% (1.0b remaining)

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

bsearch70.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample996.0ms

Algorithm
intervals
Results
284.0ms1019×body1280valid
231.0ms5803×body80valid
191.0ms1053×body640valid
67.0ms537×body320valid
25.0ms288×body160valid