Details

Time bar (total: 4.0s)

sample37.0ms

Algorithm
intervals
Results
10.0ms35×body1280valid
7.0ms179×body80valid
6.0ms35×body640valid
3.0ms21×body320valid
1.0ms13×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)

rewrite20.0ms

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)
9.0ms
(* x (/ (sin y) y))
5.0ms
(/ (* x (/ (sin y) y)) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (sin y) y)
57.0ms
(* x (/ (sin y) y))
70.0ms
(/ (* x (/ (sin y) y)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0333511
11655443
25001443

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (sin y) (/ 1 y)))
0.3b
(* (sin y) (/ 1 y))
2.3b
(/ (* x (* (sin y) (/ 1 y))) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
22×prod-exp
21×add-sqr-sqrt
15×*-un-lft-identity
14×add-cube-cbrt times-frac associate-*r*
12×div-exp cbrt-unprod
10×pow1
7×cbrt-undiv associate-*r/
6×associate-*l*
4×pow-prod-down
3×expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative div-inv associate-/l/
1×frac-2neg clear-num associate-/l*
Counts
3 → 95
Calls
3 calls:
12.0ms
(* x (* (sin y) (/ 1 y)))
8.0ms
(* (sin y) (/ 1 y))
13.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

series145.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* x (* (sin y) (/ 1 y)))
29.0ms
(* (sin y) (/ 1 y))
66.0ms
(/ (* x (* (sin y) (/ 1 y))) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0422595
12107461
25002439

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (sin y) y) z)
0.1b
(/ (sin y) y)
2.7b
(* x (/ (/ (sin y) y) z))

rewrite39.0ms

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×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 168
Calls
3 calls:
10.0ms
(/ (/ (sin y) y) z)
3.0ms
(/ (sin y) y)
18.0ms
(* x (/ (/ (sin y) y) z))

series128.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (/ (sin y) y) z)
30.0ms
(/ (sin y) y)
66.0ms
(* x (/ (/ (sin y) y) z))

simplify74.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06131200
128781122
250011122

prune428.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series739.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt z) (cbrt z))
186.0ms
(cbrt z)
178.0ms
(cbrt z)
180.0ms
(cbrt z)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune271.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11518

end0.0ms

sample1.1s

Algorithm
intervals
Results
301.0ms1018×body1280valid
261.0ms5894×body80valid
197.0ms984×body640valid
79.0ms545×body320valid
26.0ms274×body160valid