Details

sample35.0ms

Algorithm

intervals

Results

12.0ms	70×	body	1280	valid
6.0ms	171×	body	80	valid
4.0ms	39×	body	640	valid
2.0ms	35×	body	320	valid
1.0ms	13×	body	160	valid

simplify60.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.3b	(- (exp (* a x)) 1.0)

rewrite5.0ms

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)

series46.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

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

prune77.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (* a x))
4.2b	(log (exp (- (exp (* a x)) 1.0)))
4.3b	(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

1.0ms	(exp (* a x))
10.0ms	(log (exp (- (exp (* a x)) 1.0)))
4.0ms	(- (exp (* a x)) 1.0)

series83.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(exp (* a x))
37.0ms	(log (exp (- (exp (* a x)) 1.0)))
34.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	151	255
1	414	234
2	1256	231
3	5001	231

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* a x)) 1.0)
0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(pow (exp (* a x)) 3)
4.2b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt` `add-log-exp` `sqr-pow`
7×	`pow1` `add-cbrt-cube`
5×	`add-exp-log` `distribute-lft-out--`
4×	`associate-r`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`difference-cubes` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

3.0ms	(+ (exp (* a x)) 1.0)
14.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
5.0ms	(pow (exp (* a x)) 3)
17.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series128.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (exp (* a x)) 1.0)
33.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
28.0ms	(pow (exp (* a x)) 3)
51.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	372	758
1	1805	707
2	5001	687

prune250.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* a x) 3))
0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.2b	(* (* a x) 3)
4.2b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube`
10×	`add-exp-log`
9×	`add-log-exp`
7×	`add-cube-cbrt` `associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`difference-cubes`
2×	`exp-lft-cube` `exp-prod` `exp-to-pow` `associate-r/` `-commutative`
1×	`distribute-rgt-in` `sub-neg` `unpow-prod-down` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `cube-prod` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

2.0ms	(exp (* (* a x) 3))
14.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
6.0ms	(* (* a x) 3)
7.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series123.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(exp (* (* a x) 3))
33.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
19.0ms	(* (* a x) 3)
48.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	363	541
1	1609	480
2	5001	479

prune191.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

regimes302.0ms

Accuracy

94.4% (1.2b remaining)

Error of 9.1b against oracle of 7.9b and baseline of 29.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	32
1	56	32
2	57	32
3	57	32

end0.0ms

sample974.0ms

Algorithm

intervals

Results

448.0ms	2729×	body	1280	valid
129.0ms	1239×	body	640	valid
123.0ms	5499×	body	80	valid
54.0ms	782×	body	320	valid
19.0ms	400×	body	160	valid