Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

400×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
11.0ms	(* (- y z) (- t x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune103.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	5	56

Merged error: 0b

Counts

56 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
8.0ms	(* (- y z) (neg x))
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
6.0ms	(* (- y z) t)

series145.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
25.0ms	(* (- y z) (neg x))
41.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
27.0ms	(* (- y z) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	464	589
1	2070	523
2	5003	518

prune179.0ms

Filtered

98 candidates to 78 candidates (79.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (- y z) (- t x)))) (cbrt (+ x (* (- y z) (- t x)))))
0.6b	(cbrt (+ x (* (- y z) (- t x))))
0.6b	(cbrt (+ x (* (- y z) (- t x))))
0.6b	(cbrt (+ x (* (- y z) (- t 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:

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

series1.8s

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (cbrt (+ x (* (- y z) (- t x)))) (cbrt (+ x (* (- y z) (- t x)))))
425.0ms	(cbrt (+ x (* (- y z) (- t x))))
421.0ms	(cbrt (+ x (* (- y z) (- t x))))
422.0ms	(cbrt (+ x (* (- y z) (- t x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	475	1561
1	1552	1477
2	5001	1388

prune284.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- t x))
0.3b	(* (* (- y z) (- t x)) (* (- y z) (- t x)))
4.4b	(- (* x x) (* (* (- y z) (- t x)) (* (- y z) (- t x))))
26.3b	(/ (- (* x x) (* (* (- y z) (- t x)) (* (- y z) (- t x)))) (- x (* (- y z) (- t x))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

140×	`frac-times`
117×	`flip3--` `flip--`
46×	`associate-r/` `associate-l/`
45×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`*-un-lft-identity`
18×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
15×	`add-cube-cbrt`
12×	`times-frac`
11×	`sub-neg`
9×	`prod-exp` `cbrt-unprod`
8×	`associate--r+`
7×	`difference-of-squares`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`pow-plus` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `pow2` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 213

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
19.0ms	(* (* (- y z) (- t x)) (* (- y z) (- t x)))
4.0ms	(- (* x x) (* (* (- y z) (- t x)) (* (- y z) (- t x))))
11.0ms	(/ (- (* x x) (* (* (- y z) (- t x)) (* (- y z) (- t x)))) (- x (* (- y z) (- t x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- y z) (- t x))
153.0ms	(* (* (- y z) (- t x)) (* (- y z) (- t x)))
376.0ms	(- (* x x) (* (* (- y z) (- t x)) (* (- y z) (- t x))))
445.0ms	(/ (- (* x x) (* (* (- y z) (- t x)) (* (- y z) (- t x)))) (- x (* (- y z) (- t x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1201	3237
1	5001	3102

prune461.0ms

Filtered

225 candidates to 134 candidates (59.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	225	5	230

Merged error: 0b

Counts

230 → 5

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample617.0ms

Algorithm

intervals

Results

320.0ms

12037×

body

valid

Details

sample23.0ms

simplify86.0ms

prune2.0ms

localize6.0ms

rewrite17.0ms

series86.0ms

simplify36.0ms

prune103.0ms

localize9.0ms

rewrite31.0ms

series145.0ms

simplify60.0ms

prune179.0ms

localize11.0ms

rewrite17.0ms

series1.8s

simplify58.0ms

prune284.0ms

localize11.0ms

rewrite55.0ms

series1.0s

simplify62.0ms

prune461.0ms

regimes140.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample617.0ms

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