Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	82×	body	1280	valid
4.0ms	38×	body	640	valid
4.0ms	183×	body	80	valid
2.0ms	31×	body	320	valid
1.0ms	15×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	27	3
3	50	3
4	115	3
5	329	3
6	1642	3
7	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.5b	(- (exp (* a x)) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
6×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

1.0ms	(exp (* a x))
5.0ms	(- (exp (* a x)) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
33.0ms	(- (exp (* a x)) 1.0)

simplify88.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	173	292
1	562	211
2	2710	200
3	5002	164

prune92.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0)))
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
33×	`add-cube-cbrt`
28×	`cbrt-prod`
27×	`prod-diff`
12×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr` `add-log-exp`
9×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log` `pow1/3`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 142

Calls

4 calls:

26.0ms	(* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0)))
6.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
198.0ms	(- (exp (* a x)) 1.0)

series211.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0)))
32.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	307	1503
1	1077	1228
2	5002	1137

prune350.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.4b

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series139.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)

simplify87.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	162	1012
1	526	688
2	2608	644
3	5002	500

prune369.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.4b

localize24.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.6b	(log (exp (- (exp (* a x)) 1.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
14×	`log-prod`
11×	`exp-sum`
10×	`add-log-exp`
9×	`fma-neg`
6×	`log-pow`
5×	`pow1` `exp-prod`
4×	`add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `diff-log` `flip--`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 115

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
11.0ms	(log (exp (- (exp (* a x)) 1.0)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (exp (* a x)) 1.0)
32.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)
33.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	225	1029
1	633	701
2	2823	551
3	5001	515

prune383.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 9.4b

regimes281.0ms

Accuracy

93.2% (1.4b remaining)

Error of 9.3b against oracle of 7.8b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	50
1	37	50

end0.0ms

sample906.0ms

Algorithm

intervals

Results

412.0ms	2637×	body	1280	valid
132.0ms	1306×	body	640	valid
104.0ms	5563×	body	80	valid
52.0ms	750×	body	320	valid
17.0ms	389×	body	160	valid