Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

264×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

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: 6.3b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series282.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* t z) x)
118.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune283.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	8	111

Merged error: 0.6b

Counts

111 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.3b	(/ 1 (- (* t z) x))
9.8b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3--` `prod-exp` `flip--` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ 1 (- (* t z) x))
12.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
117.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
23.0ms	(/ 1 (- (* t z) x))
56.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	469	1201
1	2114	1075
2	5002	1044

prune246.0ms

Filtered

133 candidates to 87 candidates (65.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	132	9	141

Merged error: 0.6b

Counts

141 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
9.1b	(cbrt (- (* t z) x))
9.1b	(cbrt (- (* t z) x))
9.1b	(cbrt (- (* t z) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3--` `flip--`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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/` `associate-/l/`
1×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

14.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
7.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))

series521.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
113.0ms	(cbrt (- (* t z) x))
114.0ms	(cbrt (- (* t z) x))
115.0ms	(cbrt (- (* t z) x))

simplify108.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	455	870
1	1302	791
2	4893	749
3	5001	749

prune273.0ms

Filtered

83 candidates to 73 candidates (88.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	82	10	92

Merged error: 0.6b

Counts

92 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (/ 1 (- (* t z) x)))
8.9b	(cbrt (/ 1 (- (* t z) x)))
8.9b	(cbrt (/ 1 (- (* t z) x)))
9.8b	(* (- (* y z) x) (* (* (cbrt (/ 1 (- (* t z) x))) (cbrt (/ 1 (- (* t z) x)))) (cbrt (/ 1 (- (* t z) x)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
39×	`cbrt-div`
29×	`frac-times`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`pow1` `add-exp-log`
11×	`flip3--` `flip--`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 116

Calls

4 calls:

5.0ms	(cbrt (/ 1 (- (* t z) x)))
5.0ms	(cbrt (/ 1 (- (* t z) x)))
5.0ms	(cbrt (/ 1 (- (* t z) x)))
27.0ms	(* (- (* y z) x) (* (* (cbrt (/ 1 (- (* t z) x))) (cbrt (/ 1 (- (* t z) x)))) (cbrt (/ 1 (- (* t z) x)))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (/ 1 (- (* t z) x)))
105.0ms	(cbrt (/ 1 (- (* t z) x)))
106.0ms	(cbrt (/ 1 (- (* t z) x)))
58.0ms	(* (- (* y z) x) (* (* (cbrt (/ 1 (- (* t z) x))) (cbrt (/ 1 (- (* t z) x)))) (cbrt (/ 1 (- (* t z) x)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	453	1691
1	1449	1530
2	5001	1387

prune333.0ms

Filtered

128 candidates to 88 candidates (68.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	128	10	138

Merged error: 0.6b

Counts

138 → 10

regimes222.0ms

Accuracy

65% (2.2b remaining)

Error of 3.0b against oracle of 0.8b and baseline of 7.1b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample620.0ms

Algorithm

intervals

Results

394.0ms

8332×

body

valid

Details

sample22.0ms

simplify45.0ms

prune2.0ms

localize15.0ms

rewrite39.0ms

series282.0ms

simplify46.0ms

prune283.0ms

localize15.0ms

rewrite31.0ms

series278.0ms

simplify62.0ms

prune246.0ms

localize15.0ms

rewrite31.0ms

series521.0ms

simplify108.0ms

prune273.0ms

localize16.0ms

rewrite46.0ms

series380.0ms

simplify51.0ms

prune333.0ms

regimes222.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample620.0ms

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