Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms265×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b
(/ 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 flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
4.0ms
(/ x (- y (* z t)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ x (- y (* z t)))

simplify112.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0132186
1418172
21300172
34181171
45002171

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- y (* z t)))
3.1b
(* x (/ 1 (- y (* z t))))

rewrite19.0ms

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 rec-exp flip3-- 1-exp flip-- cbrt-unprod 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 → 71
Calls
2 calls:
4.0ms
(/ 1 (- y (* z t)))
12.0ms
(* x (/ 1 (- y (* z t))))

series81.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (- y (* z t)))
37.0ms
(* x (/ 1 (- y (* z t))))

simplify69.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0239421
11015363
23683333
35001333

prune145.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
9.1b
(cbrt (- y (* z t)))
9.1b
(cbrt (- y (* z t)))
9.1b
(cbrt (- y (* z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 68
Calls
4 calls:
8.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
119.0ms
(cbrt (- y (* z t)))
113.0ms
(cbrt (- y (* z t)))
114.0ms
(cbrt (- y (* z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0326723
1859668
22913652
35003652

prune342.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

3.1b
(* x (/ (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
9.1b
(cbrt (- y (* z t)))
9.1b
(cbrt (- y (* z t)))
9.1b
(cbrt (- y (* z t)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
96×associate-*r*
80×cbrt-div
69×add-sqr-sqrt
57×cbrt-prod
53×*-un-lft-identity
51×add-cube-cbrt
50×associate-/r/
40×flip3-- flip--
32×add-exp-log
24×frac-times
13×associate-*r/ add-cbrt-cube
12×associate-*l/
11×div-exp prod-exp
7×div-inv unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
2×rec-exp 1-exp
1×pow-prod-down *-commutative
Counts
4 → 167
Calls
4 calls:
76.0ms
(* x (/ (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series455.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* x (/ (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
129.0ms
(cbrt (- y (* z t)))
119.0ms
(cbrt (- y (* z t)))
122.0ms
(cbrt (- y (* z t)))

simplify121.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09552431
141342170
250022060

prune532.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.1b

regimes250.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample403.0ms

Algorithm
intervals
Results
196.0ms8375×body80valid