Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
6.0ms279×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize9.0ms

Local error

Found 1 expressions with local error:

3.6b
(/ x (- y (* z t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
4.0ms
(/ x (- y (* z t)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ x (- y (* z t)))

simplify130.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0135194
1424180
21338179
34401178
45001178

prune100.0ms

Filtered
34 candidates to 27 candidates (79.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- y (* z t)))
3.4b
(* x (/ 1 (- y (* z t))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp flip3-- 1-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 75
Calls
2 calls:
4.0ms
(/ 1 (- y (* z t)))
14.0ms
(* x (/ 1 (- y (* z t))))

series88.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (- y (* z t)))
37.0ms
(* x (/ 1 (- y (* z t))))

simplify79.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0244439
11023381
23734349
35001348

prune174.0ms

Filtered
81 candidates to 47 candidates (58.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (* (cbrt 1) (cbrt 1)) (- y (* z t)))
3.4b
(* x (/ (* (cbrt 1) (cbrt 1)) (- y (* z t))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
12×add-cbrt-cube
11×add-sqr-sqrt
9×associate-*r*
7×add-cube-cbrt *-un-lft-identity times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*l* associate-/r*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 57
Calls
2 calls:
7.0ms
(/ (* (cbrt 1) (cbrt 1)) (- y (* z t)))
18.0ms
(* x (/ (* (cbrt 1) (cbrt 1)) (- y (* z t))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (* (cbrt 1) (cbrt 1)) (- y (* z t)))
43.0ms
(* x (/ (* (cbrt 1) (cbrt 1)) (- y (* z t))))

simplify47.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0246523
11166440
25001335

prune174.0ms

Filtered
63 candidates to 42 candidates (66.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- y (* z t)) x))
3.6b
(/ (- y (* z t)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 110
Calls
2 calls:
7.0ms
(/ 1 (/ (- y (* z t)) x))
7.0ms
(/ (- y (* z t)) x)

series157.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(/ 1 (/ (- y (* z t)) x))
49.0ms
(/ (- y (* z t)) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0379897
11683799
25001724

prune210.0ms

Filtered
116 candidates to 65 candidates (56.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.5b

regimes255.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample400.0ms

Algorithm
intervals
Results
197.0ms8345×body80valid