Details

Time bar (total: 2.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize4.0ms

Local error

Found 1 expressions with local error:

1.1b
(/ (* x 100.0) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
7.0ms
(/ (* x 100.0) (+ x y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* x 100.0) (+ x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0152122
1703102
23131102
35001102

prune46.0ms

Filtered
28 candidates to 19 candidates (67.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) 100.0)
0.2b
(/ x (/ (+ x y) 100.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
8.0ms
(/ (+ x y) 100.0)
9.0ms
(/ x (/ (+ x y) 100.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ x y) 100.0)
49.0ms
(/ x (/ (+ x y) 100.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0379794
11592758
25001757

prune202.0ms

Filtered
121 candidates to 84 candidates (69.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(/ (/ x (+ x y)) (/ 1 100.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
585×times-frac
348×*-un-lft-identity
256×add-sqr-sqrt add-cube-cbrt
46×distribute-lft-out
35×div-inv
31×associate-/r/
26×add-exp-log
21×associate-/l*
17×div-exp associate-/r*
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
1×associate-/l/
Counts
2 → 322
Calls
2 calls:
9.0ms
(/ x (+ x y))
18.0ms
(/ (/ x (+ x y)) (/ 1 100.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (+ x y))
56.0ms
(/ (/ x (+ x y)) (/ 1 100.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
328 → 328
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014283466
150013076

prune478.0ms

Filtered
328 candidates to 170 candidates (51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (sqrt 100.0))
0.1b
(/ x (/ (+ x y) (sqrt 100.0)))
0.1b
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
283×*-un-lft-identity
211×add-sqr-sqrt
185×add-cube-cbrt
108×sqrt-prod
89×associate-*r*
49×distribute-lft-out
34×associate-/r*
19×add-exp-log add-cbrt-cube
10×div-inv
8×unswap-sqr
7×cbrt-undiv div-exp associate-/l*
6×associate-*l*
5×pow1
3×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/r/ associate-/l/
1×flip3-+ associate-*r/ pow-prod-down *-commutative flip-+
Counts
3 → 297
Calls
3 calls:
9.0ms
(/ (+ x y) (sqrt 100.0))
11.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
50.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

series300.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (+ x y) (sqrt 100.0))
84.0ms
(/ x (/ (+ x y) (sqrt 100.0)))
128.0ms
(* (sqrt 100.0) (/ x (/ (+ x y) (sqrt 100.0))))

simplify109.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07232618
139192467
250022410

prune503.0ms

Filtered
306 candidates to 169 candidates (55.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample278.0ms

Algorithm
intervals
Results
153.0ms8000×body80valid