Details

sample241.0ms

Algorithm

intervals

Results

107.0ms	84×	body	2560	valid
79.0ms	106×	body	1280	valid
16.0ms	35×	body	640	valid
8.0ms	71×	body	80	overflowed
7.0ms	327×	pre	80	true
4.0ms	12×	body	320	valid
2.0ms	17×	body	80	valid
1.0ms	2×	body	160	valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	13
1	101	13
2	245	13
3	697	13
4	3463	13
5	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.7b	(- (exp (* a eps)) 1.0)
2.8b	(- (exp (* b eps)) 1.0)
4.7b	(- (exp (* (+ a b) eps)) 1.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`flip3--` `flip--`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`frac-times`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

24.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
4.0ms	(- (exp (* a eps)) 1.0)
4.0ms	(- (exp (* b eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)

series167.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
39.0ms	(- (exp (* a eps)) 1.0)
31.0ms	(- (exp (* b eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	346	733
1	1449	673
2	5001	673

prune329.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 48.5b

localize31.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* b eps)) 1.0)
4.7b	(- (exp (* (+ a b) eps)) 1.0)
14.9b	(* (pow a 2) (pow eps 2))
15.7b	(* (pow a 3) (pow eps 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

4.0ms	(- (exp (* b eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (pow a 2) (pow eps 2))
11.0ms	(* (pow a 3) (pow eps 3))

series175.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (exp (* b eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
31.0ms	(* (pow a 2) (pow eps 2))
63.0ms	(* (pow a 3) (pow eps 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	470	772
1	2119	679
2	5002	636

prune586.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 48.2b

localize34.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* eps b)) 1.0)
4.7b	(- (exp (* (+ a b) eps)) 1.0)
14.9b	(* (pow a 2) (pow eps 2))
15.7b	(* (pow a 3) (pow eps 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

4.0ms	(- (exp (* eps b)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (pow a 2) (pow eps 2))
11.0ms	(* (pow a 3) (pow eps 3))

series176.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (exp (* eps b)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)
31.0ms	(* (pow a 2) (pow eps 2))
64.0ms	(* (pow a 3) (pow eps 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	465	772
1	2083	679
2	5001	636

prune636.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 48.2b

localize35.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* eps b)) 1.0)
4.7b	(- (exp (* (+ a b) eps)) 1.0)
14.9b	(* (pow a 2) (pow eps 2))
15.7b	(* (pow a 3) (pow eps 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

4.0ms	(- (exp (* eps b)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (pow a 2) (pow eps 2))
11.0ms	(* (pow a 3) (pow eps 3))

series180.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (exp (* eps b)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
31.0ms	(* (pow a 2) (pow eps 2))
65.0ms	(* (pow a 3) (pow eps 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	465	772
1	2083	679
2	5001	636

prune841.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 48.2b

regimes216.0ms

Accuracy

31.2% (5.8b remaining)

Error of 55.2b against oracle of 49.4b and baseline of 57.9b

bsearch349.0ms

Steps

Iters	Range		Point
8	1.0330457117747248e+62	5.0931338003169406e+64	2.3410812747991413e+62
10	-8.420347402970079e+188	-1.605931750786494e+170	-7.541287819732367e+174

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	66
1	91	66

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.3s	2615×	body	2560	valid
2.5s	3449×	body	1280	valid
484.0ms	1053×	body	640	valid
217.0ms	2052×	body	80	overflowed
209.0ms	10057×	pre	80	true
109.0ms	341×	body	320	valid
45.0ms	428×	body	80	valid
26.0ms	119×	body	160	valid