Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	87×	body	1280	valid
4.0ms	40×	body	640	valid
4.0ms	186×	body	80	valid
1.0ms	21×	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: 28.0b

localize4.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (exp (* a x)) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	103	100
1	300	92
2	1055	90
3	5001	90

prune48.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.1b

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b	(log (exp (- (exp (* a x)) 1.0)))
3.4b	(- (exp (* a x)) 1.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	142	220
1	385	199
2	1199	196
3	5001	196

prune91.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(+ (exp (* a x)) (- 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity` `add-log-exp`
2×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `neg-sub0` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `add-cbrt-cube` `flip-+`

Counts

1 → 17

Calls

1 calls:

5.0ms

(+ (exp (* a x)) (- 1.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (exp (* a x)) (- 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	132	113
1	470	95
2	2110	93
3	5001	93

prune44.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 8.1b

localize12.0ms

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)
3.4b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite56.0ms

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:

7.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
21.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
3.0ms	(pow (exp (* a x)) 3)
14.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series234.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
115.0ms	(/ (- (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)
58.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify122.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	677	3771
1	3048	3688
2	5002	3611

prune432.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.0b

regimes214.0ms

Accuracy

94.7% (1.1b remaining)

Error of 9.5b against oracle of 8.4b and baseline of 29.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	25
1	43	25

end0.0ms

sample941.0ms

Algorithm

intervals

Results

438.0ms	2775×	body	1280	valid
133.0ms	1340×	body	640	valid
104.0ms	5414×	body	80	valid
55.0ms	753×	body	320	valid
20.0ms	401×	body	160	valid