Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
8.0ms29×body1280valid
7.0ms181×body80valid
5.0ms29×body640valid
2.0ms18×body320valid
1.0ms10×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: 1.5b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:
14.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
14.0ms
(/ (* x (/ (sin y) y)) z)

series154.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
74.0ms
(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune203.0ms

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

rewrite43.0ms

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-*l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*r* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
18.0ms
(* (/ (sin y) y) x)
8.0ms
(/ (sin y) y)
14.0ms
(/ (* (/ (sin y) y) x) z)

series137.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (/ (sin y) y) x)
29.0ms
(/ (sin y) y)
68.0ms
(/ (* (/ (sin y) y) x) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333503
11583434
25001434

prune214.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
1.6b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite61.0ms

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 associate-*r*
22×prod-exp
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv
4×associate-*r/ associate-*l* pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative unswap-sqr
1×frac-times frac-2neg associate-*l/ clear-num un-div-inv
Counts
3 → 111
Calls
3 calls:
14.0ms
(* x (/ (sin y) y))
8.0ms
(/ (sin y) y)
36.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series156.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* x (/ (sin y) y))
25.0ms
(/ (sin y) y)
73.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0487693
12670577
25001564

prune222.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (sin y) y) x)
0.1b
(/ (sin y) y)
0.6b
(/ 1 (/ z (* (/ (sin y) y) x)))
1.3b
(/ z (* (/ (sin y) y) x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
54×add-exp-log
44×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
26×div-exp
14×cbrt-undiv
13×associate-*l*
12×associate-/r*
10×prod-exp
9×associate-/l*
8×div-inv
7×pow1
6×associate-*l/ associate-/r/ cbrt-unprod
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* clear-num
2×unswap-sqr
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 155
Calls
4 calls:
16.0ms
(* (/ (sin y) y) x)
8.0ms
(/ (sin y) y)
21.0ms
(/ 1 (/ z (* (/ (sin y) y) x)))
14.0ms
(/ z (* (/ (sin y) y) x))

series240.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (/ (sin y) y) x)
26.0ms
(/ (sin y) y)
91.0ms
(/ 1 (/ z (* (/ (sin y) y) x)))
77.0ms
(/ z (* (/ (sin y) y) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05361048
12718893
25001849

prune289.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

92.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.3b

bsearch65.0ms

Steps
ItersRangePoint
5
71269444.69622602
197909896.62939358
141625740.8559265
10
-2.794653330633314e+22
-40742292820.96068
-53734252884500.38

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample1.1s

Algorithm
intervals
Results
273.0ms996×body1280valid
245.0ms5821×body80valid
184.0ms1009×body640valid
69.0ms547×body320valid
26.0ms290×body160valid