Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 4.8b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
10.2b	(* (- y x) (/ z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

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

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* (- y x) (/ z t)))
49.0ms	(* (- y x) (/ z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune162.0ms

Filtered

62 candidates to 46 candidates (74.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	53	11	64

Merged error: 0.0b

Counts

64 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
15.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series701.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt t)
190.0ms	(cbrt t)
181.0ms	(cbrt t)
135.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	398	630
1	1701	508
2	5003	468

prune335.0ms

Filtered

89 candidates to 70 candidates (78.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	89	11	100

Merged error: 0b

Counts

100 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
15×	`cbrt-div`
14×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `flip3--` `-un-lft-identity` `associate-l/` `flip--`
6×	`pow1` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`times-frac` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

16.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
13.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
13.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
17.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
292.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
291.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
294.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	495	1368
1	1949	1199
2	5001	1161

prune503.0ms

Filtered

98 candidates to 80 candidates (81.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	100	9	109

Merged error: 0b

Counts

109 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

171×	`cbrt-div`
88×	`frac-times`
60×	`flip3--` `flip--`
44×	`associate-*l/`
29×	`associate-*r/`
22×	`add-exp-log`
14×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`times-frac` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

16.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
13.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
13.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
32.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
289.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
289.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
297.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	968	3042
1	3093	2859
2	5002	2772

prune709.0ms

Filtered

146 candidates to 95 candidates (65.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	146	9	155

Merged error: 0b

Counts

155 → 9

regimes258.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	44
1	28	44

end0.0ms

sample563.0ms

Algorithm

intervals

Results

290.0ms

10685×

body

valid