Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	82×	body	1280	valid
3.0ms	168×	body	80	valid
3.0ms	29×	body	640	valid
3.0ms	36×	body	320	valid
1.0ms	14×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 27.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.4b	(- (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)

series52.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
40.0ms	(- (exp (* a x)) 1.0)

simplify83.0ms

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

prune96.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (- (exp (* a x)) 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(log (exp (- (exp (* a x)) 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
22×	`exp-sum`
14×	`log-prod`
11×	`exp-prod` `add-log-exp`
6×	`log-pow`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log`
1×	`log-div` `flip3--` `exp-to-pow` `rem-log-exp` `flip--`

Counts

4 → 99

Calls

4 calls:

1.0ms	(exp (* a x))
11.0ms	(exp (- (exp (* a x)) 1.0))
5.0ms	(- (exp (* a x)) 1.0)
12.0ms	(log (exp (- (exp (* a x)) 1.0)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
36.0ms	(exp (- (exp (* a x)) 1.0))
34.0ms	(- (exp (* a x)) 1.0)
38.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify109.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	249	828
1	720	594
2	3168	484
3	5001	483

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 11.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(pow (- (exp (* a x)) 1.0) 3)
0.1b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
4.4b	(- (exp (* a x)) 1.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `flip3--` `fma-neg` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 100

Calls

4 calls:

1.0ms	(exp (* a x))
7.0ms	(pow (- (exp (* a x)) 1.0) 3)
6.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
5.0ms	(- (exp (* a x)) 1.0)

series131.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
47.0ms	(pow (- (exp (* a x)) 1.0) 3)
38.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
34.0ms	(- (exp (* a x)) 1.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	333	721
1	1342	623
2	5001	613

prune218.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 11.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (* (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0)))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`flip3--` `fma-neg` `flip--`
8×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 103

Calls

4 calls:

9.0ms	(cbrt (* (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0)))
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
8.0ms	(- (exp (* a x)) 1.0)

series219.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (* (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0)))
33.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	282	1101
1	1004	835
2	5001	820

prune282.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 11.1b

regimes288.0ms

Accuracy

95.8% (0.9b remaining)

Error of 8.7b against oracle of 7.9b and baseline of 28.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	38
1	42	38

end0.0ms

sample924.0ms

Algorithm

intervals

Results

419.0ms	2660×	body	1280	valid
132.0ms	1297×	body	640	valid
116.0ms	5509×	body	80	valid
50.0ms	751×	body	320	valid
17.0ms	378×	body	160	valid