Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

269×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5248	17

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 7.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.7b	(/ (- (* 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:

3.0ms	(- (* y z) x)
10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
24.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
35.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5819	1916

prune144.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Merged error: 0.5b

Counts

111 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
1.5b	(* y (/ z (- (* z t) x)))
1.9b	(/ x (- (* z t) x))
7.1b	(/ z (- (* z t) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

21.0ms	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
9.0ms	(* y (/ z (- (* z t) x)))
5.0ms	(/ x (- (* z t) x))
5.0ms	(/ z (- (* z t) x))

series68.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
11.0ms	(* y (/ z (- (* z t) x)))
12.0ms	(/ x (- (* z t) x))
8.0ms	(/ z (- (* z t) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5591	2243

prune165.0ms

Filtered

110 candidates to 145 candidates (-31.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	146	6	152

Merged error: 0.5b

Counts

152 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (+ (* (/ z x) t) -1))
1.5b	(* y (/ z (- (* z t) x)))
4.9b	(* (/ z x) t)
7.1b	(/ z (- (* z t) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
18×	`associate-r` `add-cbrt-cube`
16×	`associate-l`
9×	`pow1`
6×	`associate-/r` `associate-/r/` `associate-/l`
5×	`div-exp`
4×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--`
1×	`rec-exp` `pow-flip` `flip3-+` `1-exp` `associate-r/` `associate-l/` `flip-+` `inv-pow`

Counts

4 → 128

Calls

4 calls:

7.0ms	(/ 1 (+ (* (/ z x) t) -1))
9.0ms	(* y (/ z (- (* z t) x)))
6.0ms	(* (/ z x) t)
5.0ms	(/ z (- (* z t) x))

series34.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ 1 (+ (* (/ z x) t) -1))
11.0ms	(* y (/ z (- (* z t) x)))
5.0ms	(* (/ z x) t)
8.0ms	(/ z (- (* z t) x))

simplify53.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5099	1318

prune153.0ms

Filtered

103 candidates to 140 candidates (-35.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	140	6	146

Merged error: 0.5b

Counts

146 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ 1 (+ x 1.0))
0.6b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
7.0ms	(/ 1 (+ x 1.0))
18.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series79.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
2.0ms	(/ 1 (+ x 1.0))
33.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4988	2073
1	4988	2073

prune132.0ms

Filtered

100 candidates to 140 candidates (-40.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	140	6	146

Merged error: 0.5b

Counts

146 → 6

regimes252.0ms

Accuracy

87.5% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 2.4b

bsearch16.0ms

Steps

Iters	Range		Point
6	-0.5589967429191678	-0.04850414107859914	-0.3693132106384262

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	58
1	41	58

end0.0ms

sample752.0ms

Algorithm

intervals

Results

393.0ms

8360×

body

valid

Details

sample27.0ms

simplify50.0ms

prune11.0ms

localize11.0ms

rewrite39.0ms

series80.0ms

simplify51.0ms

prune144.0ms

localize12.0ms

rewrite44.0ms

series68.0ms

simplify63.0ms

prune165.0ms

localize15.0ms

rewrite34.0ms

series34.0ms

simplify53.0ms

prune153.0ms

localize12.0ms

rewrite49.0ms

series79.0ms

simplify60.0ms

prune132.0ms

regimes252.0ms

bsearch16.0ms

simplify1.0ms

end0.0ms

sample752.0ms

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