Details

sample232.0ms

Algorithm

intervals

Results

86.0ms	89×	body	2560	valid
61.0ms	70×	body	10240	exit
50.0ms	110×	body	1280	valid
9.0ms	35×	body	640	valid
5.0ms	326×	pre	80	true
2.0ms	10×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	8×	body	80	valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	13
1	101	13
2	258	13
3	766	13
4	3895	13
5	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (+ a b) eps))
2.4b	(- (exp (* a eps)) 1.0)
3.0b	(- (exp (* b eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

6.0ms	(exp (* (+ a b) eps))
14.0ms	(- (exp (* a eps)) 1.0)
14.0ms	(- (exp (* b eps)) 1.0)
17.0ms	(- (exp (* (+ a b) eps)) 1.0)

series139.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (* (+ a b) eps))
34.0ms	(- (exp (* a eps)) 1.0)
33.0ms	(- (exp (* b eps)) 1.0)
54.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	362	849
1	1124	600
2	5001	592

prune356.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 50.2b

localize33.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (exp (* a eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)
13.2b	(* (pow eps 2) (pow b 2))
14.9b	(* (pow eps 3) (pow b 3))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
32×	`*-un-lft-identity` `unswap-sqr`
28×	`add-exp-log` `add-cube-cbrt` `unpow-prod-down`
20×	`associate-r` `associate-l` `sqr-pow`
18×	`prod-diff` `prod-exp`
14×	`cube-prod`
12×	`pow-to-exp` `pow-exp`
10×	`unpow2`
8×	`add-cbrt-cube` `add-log-exp`
6×	`fma-neg`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 170

Calls

4 calls:

17.0ms	(- (exp (* a eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)
17.0ms	(* (pow eps 2) (pow b 2))
19.0ms	(* (pow eps 3) (pow b 3))

series191.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow eps 2) (pow b 2))
68.0ms	(* (pow eps 3) (pow b 3))

simplify92.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	554	1114
1	2456	873
2	5002	825

prune726.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 49.5b

localize26.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* b eps) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b)))))
2.4b	(- (exp (* a eps)) 1.0)
4.2b	(- (exp (* (+ a b) eps)) 1.0)
13.2b	(* (pow eps 2) (pow b 2))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
28×	`add-exp-log`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff` `add-cbrt-cube`
16×	`unswap-sqr`
14×	`unpow-prod-down`
13×	`prod-exp`
10×	`unpow2` `sqr-pow`
8×	`associate-r` `associate-l` `add-log-exp`
6×	`pow-to-exp` `fma-neg` `pow-exp`
5×	`cbrt-unprod`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `flip--` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 136

Calls

4 calls:

46.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* b eps) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b)))))
14.0ms	(- (exp (* a eps)) 1.0)
18.0ms	(- (exp (* (+ a b) eps)) 1.0)
16.0ms	(* (pow eps 2) (pow b 2))

series1.6s

Counts

4 → 12

Calls

4 calls:

1.5s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (fma 1/6 (pow (* b eps) 3) (fma 1/2 (* (pow eps 2) (pow b 2)) (* eps b)))))
35.0ms	(- (exp (* a eps)) 1.0)
56.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow eps 2) (pow b 2))

simplify102.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	714	1660
1	3575	1258
2	5001	1247

prune592.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

regimes46.0ms

Accuracy

0% (2.9b remaining)

Error of 3.0b against oracle of 0.1b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.4s	2546×	body	2560	valid
1.7s	2017×	body	10240	exit
1.7s	3500×	body	1280	valid
280.0ms	1084×	body	640	valid
146.0ms	10019×	pre	80	true
62.0ms	333×	body	320	valid
20.0ms	409×	body	80	valid
14.0ms	130×	body	160	valid