Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

262×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	17	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 41

Calls

2 calls:

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- y (* z t))
37.0ms	(/ x (- y (* z t)))

simplify114.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	157	244
1	479	225
2	1401	225
3	4323	224
4	5001	224

prune124.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (- y (* z t)))
3.0b	(* x (/ 1 (- y (* z t))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 83

Calls

3 calls:

5.0ms	(- y (* z t))
14.0ms	(/ 1 (- y (* z t)))
25.0ms	(* x (/ 1 (- y (* z t))))

series119.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- y (* z t))
51.0ms	(/ 1 (- y (* z t)))
37.0ms	(* x (/ 1 (- y (* z t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	264	479
1	1071	416
2	3863	386
3	5001	386

prune157.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
8.9b	(cbrt (- y (* z t)))
8.9b	(cbrt (- y (* z t)))
8.9b	(cbrt (- y (* z t)))

rewrite31.0ms

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:

20.0ms	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
3.0ms	(cbrt (- y (* z t)))
3.0ms	(cbrt (- y (* z t)))
4.0ms	(cbrt (- y (* z t)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
119.0ms	(cbrt (- y (* z t)))
119.0ms	(cbrt (- y (* z t)))
119.0ms	(cbrt (- y (* z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	326	723
1	859	668
2	2913	652
3	5003	652

prune290.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (- y (* z t)))
8.2b	(cbrt (/ 1 (- y (* z t))))
8.2b	(cbrt (/ 1 (- y (* z t))))
8.2b	(cbrt (/ 1 (- y (* z t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log` `associate-/r/`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `inv-pow`

Counts

4 → 105

Calls

4 calls:

10.0ms	(/ 1 (- y (* z t)))
5.0ms	(cbrt (/ 1 (- y (* z t))))
5.0ms	(cbrt (/ 1 (- y (* z t))))
5.0ms	(cbrt (/ 1 (- y (* z t))))

series408.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (- y (* z t)))
123.0ms	(cbrt (/ 1 (- y (* z t))))
118.0ms	(cbrt (/ 1 (- y (* z t))))
121.0ms	(cbrt (/ 1 (- y (* z t))))

simplify97.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	255	968
1	800	900
2	3400	823
3	5002	823

prune256.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.3b

regimes185.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample451.0ms

Algorithm

intervals

Results

178.0ms

8352×

body

valid