Details

sample35.0ms

Algorithm

intervals

Results

15.0ms	90×	body	1280	valid
4.0ms	174×	body	80	valid
4.0ms	32×	body	640	valid
2.0ms	26×	body	320	valid
0.0ms	9×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

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: 26.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.8b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(exp (* a x))
33.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune62.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 8.3b

Counts

31 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b	(pow (exp (* a x)) 3)
2.7b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
37×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
9×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
3×	`pow-unpow` `pow-pow` `associate-/r*`
2×	`exp-prod` `flip3--` `exp-to-pow` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 189

Calls

4 calls:

2.0ms	(exp (* a x))
23.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
4.0ms	(pow (exp (* a x)) 3)
12.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
119.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
24.0ms	(pow (exp (* a x)) 3)
57.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	599	3689
1	2438	3612
2	5002	3605

prune374.0ms

Filtered

201 candidates to 103 candidates (51.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	195	6	201
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	199	8	207

Merged error: 8.3b

Counts

207 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b	(exp (* (* a x) 3))
0.2b	(* (* a x) 3)
2.7b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
33×	`times-frac`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`difference-cubes`
13×	`add-log-exp`
11×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`pow1`
6×	`exp-lft-cube` `exp-prod` `exp-to-pow`
5×	`unpow-prod-down` `cube-prod` `distribute-lft-out--` `sqr-pow`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `*-commutative` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 113

Calls

4 calls:

16.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
2.0ms	(exp (* (* a x) 3))
5.0ms	(* (* a x) 3)
6.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series188.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
17.0ms	(exp (* (* a x) 3))
19.0ms	(* (* a x) 3)
48.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify267.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	507	1961
1	2098	1858
2	5003	1853

prune278.0ms

Filtered

125 candidates to 80 candidates (64.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	126	7	133

Merged error: 8.3b

Counts

133 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* (* a x) 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b	(exp (* (* a x) 3))
0.2b	(* (* a x) 3)
2.7b	(- (/ (exp (* (* a x) 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))) (/ (pow 1.0 3) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
28×	`times-frac`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`add-exp-log` `difference-of-squares`
9×	`pow1`
8×	`add-log-exp`
6×	`associate-/r/`
4×	`distribute-lft-out--`
3×	`distribute-rgt-out--` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `flip-+` `div-inv` `associate-/l`
2×	`unpow-prod-down` `cube-prod` `sqr-pow`
1×	`cbrt-undiv` `sub-neg` `exp-lft-cube` `exp-prod` `flip3--` `exp-to-pow` `frac-2neg` `diff-log` `div-exp` `associate-l` `clear-num` `*-commutative` `frac-sub` `flip--` `rem-exp-log` `sub-div`

Counts

4 → 89

Calls

4 calls:

11.0ms	(/ (exp (* (* a x) 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
2.0ms	(exp (* (* a x) 3))
5.0ms	(* (* a x) 3)
48.0ms	(- (/ (exp (* (* a x) 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))) (/ (pow 1.0 3) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (exp (* (* a x) 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
17.0ms	(exp (* (* a x) 3))
18.0ms	(* (* a x) 3)
229.0ms	(- (/ (exp (* (* a x) 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))) (/ (pow 1.0 3) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	474	1935
1	1819	1818
2	5002	1800

prune259.0ms

Filtered

101 candidates to 73 candidates (72.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	98	10	108

Merged error: 8.1b

Counts

108 → 10

regimes291.0ms

Accuracy

93.2% (1.5b remaining)

Error of 9.1b against oracle of 7.7b and baseline of 29.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

490.0ms	2688×	body	1280	valid
154.0ms	1309×	body	640	valid
134.0ms	5458×	body	80	valid
60.0ms	727×	body	320	valid
21.0ms	394×	body	160	valid

Details

sample35.0ms

simplify63.0ms

prune2.0ms

localize5.0ms

rewrite6.0ms

series51.0ms

simplify42.0ms

prune62.0ms

localize12.0ms

rewrite50.0ms

series213.0ms

simplify99.0ms

prune374.0ms

localize14.0ms

rewrite34.0ms

series188.0ms

simplify267.0ms

prune278.0ms

localize15.0ms

rewrite69.0ms

series346.0ms

simplify70.0ms

prune259.0ms

regimes291.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample1.0s

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