Details

Time bar (total: 3.3s)

sample37.0ms

Algorithm
intervals
Results
10.0ms37×body1280valid
7.0ms40×body640valid
7.0ms179×body80valid
2.0ms20×body320valid
1.0ms7×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1244
2484
3714
4794
5794

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (/ (sin y) y))
0.1b
(/ (sin y) y)
2.9b
(/ (* x (/ (sin y) y)) z)

rewrite24.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
11.0ms
(/ (* x (/ (sin y) y)) z)

series142.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (/ (sin y) y))
29.0ms
(/ (sin y) y)
63.0ms
(/ (* x (/ (sin y) y)) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune214.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

11 alts after pruning (11 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)
2.9b
(/ (* (/ (sin y) y) x) 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-*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:
6.0ms
(* (/ (sin y) y) x)
4.0ms
(/ (sin y) y)
6.0ms
(/ (* (/ (sin y) y) x) z)

series126.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (/ (sin y) y) x)
24.0ms
(/ (sin y) y)
64.0ms
(/ (* (/ (sin y) y) x) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333503
11583434
25001434

prune212.0ms

Filtered
98 candidates to 73 candidates (74.5%)
Pruning

8 alts after pruning (7 fresh and 1 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)
3.0b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite25.0ms

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:
7.0ms
(* x (/ (sin y) y))
4.0ms
(/ (sin y) y)
10.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series156.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* x (/ (sin y) y))
26.0ms
(/ (sin y) y)
73.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0487693
12670577
25001564

prune232.0ms

Filtered
120 candidates to 78 candidates (65.0%)
Pruning

9 alts after pruning (7 fresh and 2 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)))
2.9b
(/ z (* (/ (sin y) y) x))

rewrite33.0ms

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:
10.0ms
(* (/ (sin y) y) x)
4.0ms
(/ (sin y) y)
8.0ms
(/ 1 (/ z (* (/ (sin y) y) x)))
6.0ms
(/ z (* (/ (sin y) y) x))

series213.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (/ (sin y) y) x)
28.0ms
(/ (sin y) y)
82.0ms
(/ 1 (/ z (* (/ (sin y) y) x)))
65.0ms
(/ z (* (/ (sin y) y) x))

simplify66.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05361048
12718893
25001849

prune285.0ms

Filtered
167 candidates to 103 candidates (61.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes243.0ms

Accuracy

94% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02014
12014

end0.0ms

sample1.0s

Algorithm
intervals
Results
282.0ms999×body1280valid
251.0ms5811×body80valid
197.0ms1081×body640valid
70.0ms545×body320valid
31.0ms310×body160valid