Details

sample304.0ms

Algorithm

intervals

Results

15.0ms	456×	body	80	valid
10.0ms	456×	pre	80	true

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

11.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
25.0ms	(* m (- 1.0 m))
19.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)

series157.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(* m (- 1.0 m))
42.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)

simplify100.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5002	1196

prune220.0ms

Filtered

181 candidates to 93 candidates (51.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	6	182

Merged error: 0b

Counts

182 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

15.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
9.0ms	(/ (* m (- 1.0 m)) v)
9.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
36.0ms	(/ (* m (- 1.0 m)) v)
39.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify74.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862

prune207.0ms

Filtered

115 candidates to 86 candidates (74.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	115	6	121

Merged error: 0b

Counts

121 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
40×	`add-cube-cbrt`
39×	`prod-diff`
30×	`add-exp-log`
23×	`associate-r`
22×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-cbrt-cube`
14×	`prod-exp`
13×	`pow1`
10×	`flip3--` `flip--`
9×	`times-frac` `associate-*r/`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`frac-times` `add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`expm1-log1p-u` `div-exp` `associate-*l/` `log1p-expm1-u`
3×	`*-commutative`
2×	`cbrt-undiv` `rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`fma-neg` `diff-log` `un-div-inv` `div-inv`

Counts

4 → 160

Calls

4 calls:

11.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
8.0ms	(* m (- 1.0 m))
20.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
11.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series142.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* (* m (- 1.0 m)) (/ 1 v)) 1.0)
43.0ms	(* m (- 1.0 m))
37.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) (- 1.0 m))
36.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify111.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	666	1595
1	3492	1218
2	5001	1190

prune200.0ms

Filtered

172 candidates to 89 candidates (51.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	172	6	178

Merged error: 0b

Counts

178 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt m) (cbrt m))
0.7b	(cbrt m)
0.7b	(cbrt m)
0.7b	(cbrt m)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt m) (cbrt m))
1.0ms	(cbrt m)
1.0ms	(cbrt m)
1.0ms	(cbrt m)

series723.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt m) (cbrt m))
174.0ms	(cbrt m)
172.0ms	(cbrt m)
174.0ms	(cbrt m)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune201.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	93	6	99

Merged error: 0b

Counts

99 → 6

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample887.0ms

Algorithm

intervals

Results

406.0ms	13569×	body	80	valid
249.0ms	13569×	pre	80	true