Details

Time bar (total: 4.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms265×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.5b
(/ (- (* y z) x) (- (* t z) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×div-sub
2×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
1×associate-+r-
Counts
4 → 97
Calls
4 calls:
4.0ms
(- (* y z) x)
4.0ms
(- (* t z) x)
15.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms
(/ (- (* y z) x) (- (* t z) x))

series214.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* y z) x)
23.0ms
(- (* t z) x)
114.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
56.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0399950
11413884
25001882

prune277.0ms

Filtered
109 candidates to 78 candidates (71.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1018109
Fresh000
Picked101
Done000
Total1028110

Merged error: 0.2b

Counts
110 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
0.0b
(/ (/ x (- (* t z) x)) (+ x 1.0))
3.4b
(/ x (- (* t z) x))
8.9b
(/ (* y z) (- (* t z) x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
133×times-frac
127×*-un-lft-identity
75×add-sqr-sqrt add-cube-cbrt
26×distribute-lft-out
23×associate-/l*
18×add-exp-log associate-/r/ add-cbrt-cube
14×associate-/r*
9×div-inv
7×cbrt-undiv flip3-- div-exp flip--
4×pow1 frac-2neg clear-num add-log-exp
3×flip3-+ flip-+ associate-/l/
1×prod-exp cbrt-unprod
Counts
4 → 188
Calls
4 calls:
12.0ms
(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
12.0ms
(/ (/ x (- (* t z) x)) (+ x 1.0))
5.0ms
(/ x (- (* t z) x))
7.0ms
(/ (* y z) (- (* t z) x))

series275.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
101.0ms
(/ (/ x (- (* t z) x)) (+ x 1.0))
57.0ms
(/ x (- (* t z) x))
36.0ms
(/ (* y z) (- (* t z) x))

simplify81.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07001899
130221792
250011792

prune544.0ms

Filtered
200 candidates to 142 candidates (71.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1973200
Fresh437
Picked101
Done000
Total2026208

Merged error: 0b

Counts
208 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (- (* t z) x)) (+ x 1.0))
1.2b
(/ y (/ (- (* t z) x) z))
3.4b
(/ x (- (* t z) x))
8.0b
(/ (- (* t z) x) z)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
198×times-frac
145×*-un-lft-identity
113×add-sqr-sqrt add-cube-cbrt
24×associate-/l*
23×associate-/r*
18×add-exp-log add-cbrt-cube
16×distribute-lft-out
15×associate-/r/
13×div-inv
8×cbrt-undiv div-exp
7×flip3-- flip--
4×pow1 frac-2neg clear-num add-log-exp
3×associate-/l/
1×flip3-+ div-sub flip-+
Counts
4 → 225
Calls
4 calls:
11.0ms
(/ (/ x (- (* t z) x)) (+ x 1.0))
8.0ms
(/ y (/ (- (* t z) x) z))
5.0ms
(/ x (- (* t z) x))
6.0ms
(/ (- (* t z) x) z)

series241.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (/ x (- (* t z) x)) (+ x 1.0))
36.0ms
(/ y (/ (- (* t z) x) z))
62.0ms
(/ x (- (* t z) x))
42.0ms
(/ (- (* t z) x) z)

simplify93.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07992127
134042032
250012032

prune710.0ms

Filtered
237 candidates to 181 candidates (76.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2343237
Fresh325
Picked101
Done000
Total2385243

Merged error: 0b

Counts
243 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
0.0b
(/ (/ x (- (* t z) x)) (+ x 1.0))
1.2b
(/ y (- t (/ x z)))
3.4b
(/ x (- (* t z) x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
144×*-un-lft-identity
104×add-sqr-sqrt
84×add-cube-cbrt
26×distribute-lft-out
25×associate-/l*
18×associate-/r/
17×associate-/r*
15×add-exp-log add-cbrt-cube
9×div-inv
8×difference-of-squares
7×flip3-- flip--
6×cbrt-undiv div-exp
4×pow1 frac-2neg clear-num distribute-lft-out-- add-log-exp
3×flip3-+ flip-+ associate-/l/
Counts
4 → 206
Calls
4 calls:
18.0ms
(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
11.0ms
(/ (/ x (- (* t z) x)) (+ x 1.0))
12.0ms
(/ y (- t (/ x z)))
6.0ms
(/ x (- (* t z) x))

series274.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
102.0ms
(/ (/ x (- (* t z) x)) (+ x 1.0))
30.0ms
(/ y (- t (/ x z)))
65.0ms
(/ x (- (* t z) x))

simplify85.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07391978
128831888
250011888

prune619.0ms

Filtered
218 candidates to 156 candidates (71.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2162218
Fresh224
Picked101
Done000
Total2194223

Merged error: 0b

Counts
223 → 4

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample535.0ms

Algorithm
intervals
Results
328.0ms8350×body80valid