Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

318×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* y (- z x)))
41.0ms	(* y (- z x))

simplify87.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune60.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* y (- z x))))
0.5b	(cbrt (+ x (* y (- z x))))
0.5b	(cbrt (+ x (* y (- z x))))
0.5b	(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))

rewrite17.0ms

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:

2.0ms	(cbrt (+ x (* y (- z x))))
2.0ms	(cbrt (+ x (* y (- z x))))
2.0ms	(cbrt (+ x (* y (- z x))))
8.0ms	(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))

series970.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (+ x (* y (- z x))))
266.0ms	(cbrt (+ x (* y (- z x))))
239.0ms	(cbrt (+ x (* y (- z x))))
232.0ms	(* (cbrt (+ x (* y (- z x)))) (cbrt (+ x (* y (- z x)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	329	1225
1	1112	1155
2	5001	1074

prune211.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
4.2b	(- (* z z) (* x x))
8.2b	(* y (- (* z z) (* x x)))
21.6b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
12.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series212.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
33.0ms	(- (* z z) (* x x))
61.0ms	(* y (- (* z z) (* x x)))
71.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	620
1	1808	538
2	5001	507

prune127.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes65.0ms

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	8	3
1	8	3

end0.0ms

sample417.0ms

Algorithm

intervals

Results

229.0ms

9969×

body

valid

Details

sample19.0ms

simplify79.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series75.0ms

simplify87.0ms

prune60.0ms

localize8.0ms

rewrite17.0ms

series970.0ms

simplify43.0ms

prune211.0ms

localize9.0ms

rewrite29.0ms

series212.0ms

simplify51.0ms

prune127.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample417.0ms

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