Details

analyze1.2s

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	113×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(+ (* x y) (* z t))

series28.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (* x y) (* z t))

simplify76.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune49.0ms

Filtered

24 candidates to 30 candidates (-25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))
1.3b	(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
35.0ms	(cbrt (+ (* x y) (* z t)))
36.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))

simplify103.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	315	1087
1	1067	1022
2	4322	952
3	5001	933

prune115.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.7b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
4.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
4.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
4.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
52.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
52.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
54.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify121.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	312	1441
1	1115	1348
2	4895	1239
3	5002	1223

prune106.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
2.4b	(+ (pow (* x y) 3) (pow (* z t) 3))
2.5b	(* (* z t) (- (* z t) (* x y)))
35.1b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

9.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
9.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
7.0ms	(* (* z t) (- (* z t) (* x y)))
16.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
45.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
14.0ms	(* (* z t) (- (* z t) (* x y)))
46.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify108.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	437	1484
1	2562	1357
2	5001	1352

prune136.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes888.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

analyze1.2s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

560.0ms	8000×	body	80	valid
173.0ms	3914×	body	80	invalid

Details

analyze1.2s

sample32.0ms

simplify6.0ms

prune5.0ms

localize9.0ms

rewrite12.0ms

series28.0ms

simplify76.0ms

prune49.0ms

localize13.0ms

rewrite22.0ms

series155.0ms

simplify103.0ms

prune115.0ms

localize14.0ms

rewrite29.0ms

series252.0ms

simplify121.0ms

prune106.0ms

localize19.0ms

rewrite43.0ms

series131.0ms

simplify108.0ms

prune136.0ms

regimes888.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.2s

sample1.1s

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