Details

Time bar (total: 3.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms272×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: 3.0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.0b
(/ x (- y (* z t)))

rewrite6.0ms

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:
5.0ms
(/ x (- y (* z t)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ x (- y (* z t)))

simplify138.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0135194
1424180
21338179
34401178
45001178

prune338.0ms

Filtered
34 candidates to 27 candidates (79.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- y (* z t)))
3.0b
(* x (/ 1 (- y (* z t))))

rewrite17.0ms

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:
5.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series95.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (- y (* z t)))
44.0ms
(* x (/ 1 (- y (* z t))))

simplify85.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0244439
11023381
23734349
35001348

prune166.0ms

Filtered
81 candidates to 47 candidates (58.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ (- y (* z t)) x))
2.9b
(/ (- y (* z t)) x)

rewrite18.0ms

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))
6.0ms
(/ (- y (* z t)) x)

series167.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ 1 (/ (- y (* z t)) x))
52.0ms
(/ (- y (* z t)) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0379897
11683799
25001724

prune220.0ms

Filtered
116 candidates to 65 candidates (56.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (/ x (cbrt (- y (* z t)))))
10.3b
(cbrt (- y (* z t)))
10.3b
(cbrt (- y (* z t)))
10.3b
(cbrt (- y (* z t)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 127
Calls
4 calls:
25.0ms
(* (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (/ x (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (/ x (cbrt (- y (* z t)))))
133.0ms
(cbrt (- y (* z t)))
134.0ms
(cbrt (- y (* z t)))
139.0ms
(cbrt (- y (* z t)))

simplify99.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06341719
127631495
250011356

prune417.0ms

Filtered
139 candidates to 101 candidates (72.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 2.9b

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

end0.0ms

sample485.0ms

Algorithm
intervals
Results
245.0ms8361×body80valid