Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	93×	body	1280	valid
3.0ms	36×	body	640	valid
3.0ms	178×	body	80	valid
1.0ms	16×	body	320	valid
1.0ms	14×	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: 24.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.6b	(- (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)

series45.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(exp (* a x))
34.0ms	(- (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

prune63.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* a x)) (+ (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)
3.6b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 202

Calls

4 calls:

38.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
101.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
7.0ms	(pow (exp (* a x)) 3)
36.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series211.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
105.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
27.0ms	(pow (exp (* a x)) 3)
48.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify125.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	677	3845
1	3048	3760
2	5001	3755

prune429.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* a x) 3))
0.0b	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.2b	(* (* a x) 3)
3.8b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite109.0ms

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:

8.0ms	(exp (* (* a x) 3))
63.0ms	(/ (- (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)
16.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series172.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(exp (* (* a x) 3))
96.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
20.0ms	(* (* a x) 3)
40.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	507	1961
1	2098	1858
2	5002	1853

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp (* a x)) 6)
0.2b	(* (* a x) 3)
0.2b	(* (* a x) 3)
3.8b	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
41×	`unpow-prod-down`
40×	`difference-of-squares`
38×	`cube-prod`
23×	`sqr-pow`
18×	`*-un-lft-identity`
15×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`distribute-lft-out--`
3×	`pow-unpow` `pow-pow`
2×	`associate-l` `*-commutative`
1×	`difference-cubes` `pow-to-exp` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `pow-exp` `flip--`

Counts

4 → 113

Calls

4 calls:

6.0ms	(pow (exp (* a x)) 6)
17.0ms	(* (* a x) 3)
16.0ms	(* (* a x) 3)
51.0ms	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

series124.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (exp (* a x)) 6)
17.0ms	(* (* a x) 3)
17.0ms	(* (* a x) 3)
61.0ms	(- (pow (exp (* (* a x) 3)) 3) (pow (pow 1.0 3) 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	417	1110
1	1812	1069
2	5001	1063

prune371.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.5b

regimes232.0ms

Accuracy

93.1% (1.5b remaining)

Error of 10.0b against oracle of 8.5b and baseline of 29.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	51
1	61	51

end0.0ms

sample911.0ms

Algorithm

intervals

Results

389.0ms	2761×	body	1280	valid
128.0ms	1369×	body	640	valid
95.0ms	5401×	body	80	valid
44.0ms	726×	body	320	valid
16.0ms	393×	body	160	valid