Details

Time bar (total: 3.8s)

sample34.0ms

Algorithm
intervals
Results
9.0ms32×body1280valid
8.0ms194×body80valid
5.0ms27×body640valid
2.0ms15×body320valid
1.0ms14×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: 2.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.3b
(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

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)

series150.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
55.0ms
(* x (/ (sin y) y))
71.0ms
(/ (* x (/ (sin y) y)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326487
11643420
25001420

prune189.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ (/ (sin y) y) z)
1.8b
(* x (/ (/ (sin y) y) z))

rewrite35.0ms

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)
19.0ms
(* x (/ (/ (sin y) y) z))

series132.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
38.0ms
(/ (/ (sin y) y) z)
70.0ms
(* x (/ (/ (sin y) y) z))

simplify72.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06051176
128621100
250011100

prune411.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(/ z (/ (sin y) y))
1.9b
(/ x (/ z (/ (sin y) y)))

rewrite35.0ms

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:
3.0ms
(/ (sin y) y)
5.0ms
(/ z (/ (sin y) y))
12.0ms
(/ x (/ z (/ (sin y) y)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
66.0ms
(/ z (/ (sin y) y))
79.0ms
(/ x (/ z (/ (sin y) y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011102950
150012830

prune779.0ms

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
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.4b
(* (/ 1 z) (* x (/ (sin y) y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-sqr-sqrt add-cbrt-cube
28×times-frac
26×add-cube-cbrt *-un-lft-identity
22×prod-exp
16×associate-*l*
14×associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ pow-prod-down
3×rec-exp 1-exp associate-/r* div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num
Counts
3 → 104
Calls
3 calls:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
15.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (sin y) y)
54.0ms
(* x (/ (sin y) y))
69.0ms
(* (/ 1 z) (* x (/ (sin y) y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0432649
12287533
25001514

prune197.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

37.1% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.1b

bsearch36.0ms

Steps
ItersRangePoint
8
-2.1653653457722992e+70
-3.9750706408177096e+67
-4.40806905865946e+69

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148
1148

end0.0ms

sample1.0s

Algorithm
intervals
Results
273.0ms963×body1280valid
236.0ms5792×body80valid
194.0ms1102×body640valid
70.0ms551×body320valid
33.0ms312×body160valid