Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	77×	body	1280	valid
4.0ms	39×	body	640	valid
3.0ms	191×	body	80	valid
1.0ms	26×	body	320	valid
0.0ms	11×	body	160	valid

simplify59.0ms

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: 27.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.8b	(- (exp (* a x)) 1.0)

rewrite16.0ms

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:

4.0ms	(exp (* a x))
12.0ms	(- (exp (* a x)) 1.0)

series50.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(exp (* a x))
37.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

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

prune66.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (* a x))
3.8b	(log (exp (- (exp (* a x)) 1.0)))
3.8b	(- (exp (* a x)) 1.0)

rewrite44.0ms

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:

4.0ms	(exp (* a x))
25.0ms	(log (exp (- (exp (* a x)) 1.0)))
14.0ms	(- (exp (* a x)) 1.0)

series83.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(exp (* a x))
36.0ms	(log (exp (- (exp (* a x)) 1.0)))
33.0ms	(- (exp (* a x)) 1.0)

simplify43.0ms

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

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

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

rewrite159.0ms

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:

4.0ms	(exp (* a x))
103.0ms	(/ (- (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)
36.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* a x))
118.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
26.0ms	(pow (exp (* a x)) 3)
56.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify94.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	599	3615
1	2438	3540
2	5003	3461

prune400.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.3b	(* (* a x) 3)
3.7b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite108.0ms

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-prod` `exp-to-pow`
5×	`unpow-prod-down` `exp-lft-cube` `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 → 112

Calls

4 calls:

4.0ms	(exp (* a x))
64.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
18.0ms	(* (* a x) 3)
17.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series184.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* a x))
105.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
21.0ms	(* (* a x) 3)
44.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	517	1950
1	2132	1852
2	5003	1847

prune302.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

regimes257.0ms

Accuracy

94.3% (1.2b remaining)

Error of 9.5b against oracle of 8.3b and baseline of 30.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	24
1	35	24

end0.0ms

sample947.0ms

Algorithm

intervals

Results

399.0ms	2708×	body	1280	valid
126.0ms	1353×	body	640	valid
101.0ms	5455×	body	80	valid
46.0ms	773×	body	320	valid
19.0ms	399×	body	160	valid