Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

264×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	67	6
2	145	6
3	241	6
4	301	6
5	355	6
6	396	6
7	444	6
8	529	6
9	744	6
10	2218	6
11	5001	6

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: 17.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
16.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (+ t1 u) (+ t1 u))
68.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify62.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	390	509
1	2114	426
2	5002	422

prune119.0ms

Filtered

80 candidates to 45 candidates (56.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.0b

Counts

81 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.2b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

7.0ms	(/ (- t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
24.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- t1) (+ t1 u))
23.0ms	(/ v (+ t1 u))
121.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	602	1313
1	2728	1228
2	5002	1224

prune321.0ms

Filtered

207 candidates to 140 candidates (67.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	202	5	207
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	203	8	211

Merged error: 0b

Counts

211 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
1.0b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.9b	(* (- t1) (/ v (+ t1 u)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
11.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
11.0ms	(* (- t1) (/ v (+ t1 u)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ v (+ t1 u))
73.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
52.0ms	(* (- t1) (/ v (+ t1 u)))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	392	679
1	2087	600
2	5002	600

prune185.0ms

Filtered

122 candidates to 85 candidates (69.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt v)
0.6b	(cbrt v)
0.6b	(cbrt v)
1.2b	(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
46×	`associate-l`
45×	`add-exp-log`
40×	`times-frac`
33×	`add-cbrt-cube`
30×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`distribute-lft-out`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `neg-mul-1` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-*r/`
2×	`associate-/r/`
1×	`distribute-lft-neg-out` `frac-times` `flip3-+` `distribute-frac-neg` `associate-r` `associate-l/` `-commutative` `flip-+` `div-inv`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt v)
1.0ms	(cbrt v)
1.0ms	(cbrt v)
22.0ms	(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt v)
190.0ms	(cbrt v)
179.0ms	(cbrt v)
141.0ms	(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

simplify71.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	522	1285
1	2521	918
2	5001	858

prune255.0ms

Filtered

135 candidates to 91 candidates (67.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	135	7	142

Merged error: 0b

Counts

142 → 7

regimes80.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample431.0ms

Algorithm

intervals

Results

261.0ms

8230×

body

valid