Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 1 expressions with local error:

3.3b
(/ 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)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ x (- y (* z t)))

simplify109.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0132186
1418172
21300172
34181171
45002171

prune77.0ms

Filtered
32 candidates to 25 candidates (78.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (- y (* z t)))
3.2b
(* x (/ 1 (- y (* z t))))

rewrite18.0ms

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))))

series78.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- y (* z t)))
32.0ms
(* x (/ 1 (- y (* z t))))

simplify67.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0239421
11015363
23683333
35001333

prune118.0ms

Filtered
77 candidates to 43 candidates (55.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
9.8b
(cbrt (- y (* z t)))
9.8b
(cbrt (- y (* z t)))
9.8b
(cbrt (- y (* z t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- pow-flip *-un-lft-identity pow1/3 flip--
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 82
Calls
4 calls:
13.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
1.0ms
(cbrt (- y (* z t)))
1.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
109.0ms
(cbrt (- y (* z t)))
107.0ms
(cbrt (- y (* z t)))
108.0ms
(cbrt (- y (* z t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0377772
11252692
25001658

prune250.0ms

Filtered
94 candidates to 68 candidates (72.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
2.2b
(/ (cbrt x) (- y (* z t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
26.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
5.0ms
(/ (cbrt x) (- y (* z t)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
168.0ms
(cbrt x)
57.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
112.0ms
(/ (cbrt x) (- y (* z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0380929
11986793
25001764

prune286.0ms

Filtered
122 candidates to 97 candidates (79.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.2b

regimes191.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample423.0ms

Algorithm
intervals
Results
211.0ms8341×body80valid