Details

Time bar (total: 3.6s)

sample38.0ms

Algorithm
intervals
Results
10.0ms28×body1280valid
8.0ms189×body80valid
7.0ms39×body640valid
1.0ms10×body320valid
1.0ms10×body160valid

simplify11.0ms

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: 2.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.4b
(/ (* 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:
3.0ms
(/ (sin y) y)
8.0ms
(* x (/ (sin y) y))
5.0ms
(/ (* x (/ (sin y) y)) z)

series157.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (sin y) y)
51.0ms
(* x (/ (sin y) y))
73.0ms
(/ (* x (/ (sin y) y)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0333511
11655443
25001443

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* x (/ (sin y) y))
2.5b
(* (* x (/ (sin y) y)) (/ 1 z))

rewrite31.0ms

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:
3.0ms
(/ (sin y) y)
7.0ms
(* x (/ (sin y) y))
16.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

series149.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
56.0ms
(* x (/ (sin y) y))
68.0ms
(* (* x (/ (sin y) y)) (/ 1 z))

simplify65.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0487693
12670577
25001564

prune237.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sin y))
0.1b
(* x (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
2.5b
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
156×add-exp-log
111×add-sqr-sqrt
99×*-un-lft-identity
97×add-cube-cbrt
67×prod-exp
59×div-exp
57×associate-*r*
52×add-cbrt-cube
20×rec-exp 1-exp
17×cbrt-undiv cbrt-unprod
16×associate-/r*
12×pow1
11×div-inv
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down un-div-inv log1p-expm1-u add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ *-commutative
1×pow-flip inv-pow
Counts
4 → 254
Calls
4 calls:
2.0ms
(/ y (sin y))
21.0ms
(* x (/ 1 (/ y (sin y))))
5.0ms
(/ 1 (/ y (sin y)))
33.0ms
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

series173.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ y (sin y))
50.0ms
(* x (/ 1 (/ y (sin y))))
31.0ms
(/ 1 (/ y (sin y)))
66.0ms
(* (* x (/ 1 (/ y (sin y)))) (/ 1 z))

simplify98.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09511800
147551472
250011472

prune490.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (sin y) y)
0.1b
(* (/ (sin y) y) (/ 1 z))
2.5b
(* x (* (/ (sin y) y) (/ 1 z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
43×add-sqr-sqrt
35×add-cbrt-cube
34×times-frac
28×*-un-lft-identity
26×add-cube-cbrt
25×prod-exp
17×div-exp
16×associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
9×cbrt-undiv
6×associate-*r/ unswap-sqr
4×rec-exp 1-exp pow-prod-down
3×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×frac-times associate-*l/ un-div-inv *-commutative
1×frac-2neg clear-num
Counts
3 → 122
Calls
3 calls:
3.0ms
(/ (sin y) y)
17.0ms
(* (/ (sin y) y) (/ 1 z))
16.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
40.0ms
(* (/ (sin y) y) (/ 1 z))
66.0ms
(* x (* (/ (sin y) y) (/ 1 z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0542796
12405660
25001636

prune255.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

36.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.6b

bsearch11.0ms

Steps
ItersRangePoint
2
1.494127419153236e+54
1.8174143315383092e+54
1.5167308587843438e+54

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12210

end0.0ms

sample1.0s

Algorithm
intervals
Results
286.0ms992×body1280valid
249.0ms5820×body80valid
196.0ms1016×body640valid
76.0ms575×body320valid
29.0ms304×body160valid