Details

sample123.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.224854%

Guaranteed chance to sample good point: 98.461538%

Results

17.0ms	92×	body	1280	valid
6.0ms	44×	body	640	valid
3.0ms	86×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	2×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 27.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.8b	(- (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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (* a x))
8.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (9.0ms)

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

prune58.0ms

Filtered

20 candidates to 30 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	6	31

Merged error: 7.4b

Counts

31 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* a x)) 1.0)
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)
3.8b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
89×	`*-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×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 191

Calls

4 calls:

4.0ms	(+ (exp (* a x)) 1.0)
23.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
6.0ms	(pow (exp (* a x)) 3)
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series69.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (exp (* a x)) 1.0)
39.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
9.0ms	(pow (exp (* a x)) 3)
16.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	629	3662
1	2568	3579
2	5001	3500

prune332.0ms

Filtered

106 candidates to 203 candidates (-91.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	196	7	203
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	201	8	209

Merged error: 7.4b

Counts

209 → 8

localize15.0ms

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)
3.8b	(- (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:

14.0ms	(/ (- (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))

series46.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
5.0ms	(exp (* (* a x) 3))
3.0ms	(* (* a x) 3)
9.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	507	1961
1	2098	1858
2	5001	1853

prune247.0ms

Filtered

79 candidates to 125 candidates (-58.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Merged error: 7.4b

Counts

133 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) 3)
0.2b	(* (* a x) 3)
0.2b	(* (* a x) 3)
3.7b	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
40×	`difference-of-squares`
38×	`unpow-prod-down` `cube-prod`
22×	`sqr-pow`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`distribute-lft-out--`
3×	`associate-l` `*-commutative`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 112

Calls

4 calls:

5.0ms	(* (* a x) 3)
7.0ms	(* (* a x) 3)
5.0ms	(* (* a x) 3)
20.0ms	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* a x) 3)
3.0ms	(* (* a x) 3)
3.0ms	(* (* a x) 3)
16.0ms	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	341	1080
1	1387	1038
2	5001	1036

prune287.0ms

Filtered

62 candidates to 124 candidates (-100.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	125	10	135

Merged error: 7.3b

Counts

135 → 10

regimes489.0ms

Accuracy

94.4% (1.2b remaining)

Error of 9.2b against oracle of 8.0b and baseline of 29.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	46
1	60	46

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.224854%

Guaranteed chance to sample good point: 98.461538%

Results

481.0ms	2710×	body	1280	valid
154.0ms	1319×	body	640	valid
73.0ms	2774×	body	80	valid
65.0ms	792×	body	320	valid
22.0ms	405×	body	160	valid
2.0ms	73×	body	80	invalid

Details

sample123.0ms

simplify61.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series11.0ms

simplify40.0ms

prune58.0ms

localize12.0ms

rewrite52.0ms

series69.0ms

simplify99.0ms

prune332.0ms

localize15.0ms

rewrite34.0ms

series46.0ms

simplify73.0ms

prune247.0ms

localize25.0ms

rewrite41.0ms

series26.0ms

simplify55.0ms

prune287.0ms

regimes489.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.1s

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