Details

sample288.0ms

Algorithm

intervals

Results

11.0ms	424×	body	80	valid
6.0ms	424×	pre	80	true

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

8.0ms	(* m (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series146.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify63.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	394	683
1	1939	511
2	5001	505

prune171.0ms

Filtered

104 candidates to 60 candidates (57.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

4.0ms	(+ (* 1.0 m) (* (- m) m))
7.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
15.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

series140.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* 1.0 m) (* (- m) m))
48.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

simplify50.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	331	681
1	1391	601
2	5001	581

prune192.0ms

Filtered

88 candidates to 67 candidates (76.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	88	7	95

Merged error: 0b

Counts

95 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (- m)) v)
0.1b	(* (- (* m (/ (+ 1.0 (- m)) v)) 1.0) m)
0.3b	(* m (/ (+ 1.0 (- m)) v))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
14×	`distribute-lft-out`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-rgt-neg-in`
6×	`associate-l`
5×	`associate-/l*`
3×	`expm1-log1p-u` `div-sub` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`neg-sub0` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `associate-*r/` `unsub-neg` `clear-num` `flip--` `flip-+`

Counts

3 → 104

Calls

3 calls:

8.0ms	(/ (+ 1.0 (- m)) v)
12.0ms	(* (- (* m (/ (+ 1.0 (- m)) v)) 1.0) m)
15.0ms	(* m (/ (+ 1.0 (- m)) v))

series108.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (+ 1.0 (- m)) v)
39.0ms	(* (- (* m (/ (+ 1.0 (- m)) v)) 1.0) m)
37.0ms	(* m (/ (+ 1.0 (- m)) v))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	361	693
1	1816	615
2	5001	589

prune210.0ms

Filtered

113 candidates to 76 candidates (67.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0b

Counts

120 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt m) (cbrt m))
0.6b	(cbrt m)
0.6b	(cbrt m)
0.6b	(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)

series744.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt m) (cbrt m))
182.0ms	(cbrt m)
175.0ms	(cbrt m)
176.0ms	(cbrt m)

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

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

prune224.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Merged error: 0b

Counts

100 → 7

regimes58.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample716.0ms

Algorithm

intervals

Results

322.0ms	13801×	body	80	valid
177.0ms	13801×	pre	80	true