Details

Time bar (total: 5.2s)

sample42.0ms

Algorithm
intervals
Results
12.0ms188×body80valid
10.0ms32×body1280valid
6.0ms27×body640valid
3.0ms16×body320valid
1.0ms6×body160valid

simplify9.0ms

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: 1.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
1.7b
(/ (* x (/ (sin y) y)) z)

rewrite22.0ms

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))
6.0ms
(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (sin y) y)
58.0ms
(* x (/ (sin y) y))
68.0ms
(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326487
11643420
25001420

prune194.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.0b
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
110×add-sqr-sqrt
82×associate-*r*
78×add-cube-cbrt *-un-lft-identity
52×cbrt-prod
40×add-exp-log
28×add-cbrt-cube
15×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×unswap-sqr
8×div-inv
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 162
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
52.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
178.0ms
(cbrt z)
187.0ms
(cbrt z)
111.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010231798
150021497

prune536.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(* x (/ 1 (/ y (sin y))))
1.7b
(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite54.0ms

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:
2.0ms
(/ y (sin y))
6.0ms
(/ 1 (/ y (sin y)))
23.0ms
(* x (/ 1 (/ y (sin y))))
14.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

series181.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ y (sin y))
26.0ms
(/ 1 (/ y (sin y)))
59.0ms
(* x (/ 1 (/ y (sin y))))
73.0ms
(/ (* x (/ 1 (/ y (sin y)))) z)

simplify80.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07091445
136911227
250031090

prune400.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(/ x (/ y (sin y)))
1.7b
(/ (/ x (/ y (sin y))) z)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
238×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×associate-/l*
23×div-inv
19×add-exp-log associate-/r* add-cbrt-cube
10×cbrt-undiv div-exp
5×associate-/r/
3×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
3 → 293
Calls
3 calls:
2.0ms
(/ y (sin y))
6.0ms
(/ x (/ y (sin y)))
17.0ms
(/ (/ x (/ y (sin y))) z)

series155.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ y (sin y))
62.0ms
(/ x (/ y (sin y)))
70.0ms
(/ (/ x (/ y (sin y))) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011622917
150022805

prune796.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

94% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch85.0ms

Steps
ItersRangePoint
8
1380249632226409.0
4.914394902755447e+18
9.089316884210989e+16
8
-3.7208900824602957e-25
-7.867221224566218e-28
-3.3341519654404754e-26

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample1.3s

Algorithm
intervals
Results
391.0ms5916×body80valid
321.0ms1002×body1280valid
233.0ms1006×body640valid
90.0ms531×body320valid
39.0ms285×body160valid