Details

sample185.0ms

Algorithm

intervals

Results

85.0ms	82×	body	2560	valid
60.0ms	112×	body	1280	valid
9.0ms	27×	body	640	valid
6.0ms	308×	pre	80	true
3.0ms	52×	body	80	overflowed
3.0ms	13×	body	320	valid
1.0ms	17×	body	80	valid
1.0ms	5×	body	160	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 59.7b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.3b	(- (exp (* b eps)) 1.0)
4.0b	(- (exp (* a eps)) 1.0)
6.0b	(- (exp (* (+ a b) eps)) 1.0)

rewrite24.0ms

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:

10.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
4.0ms	(- (exp (* b eps)) 1.0)
4.0ms	(- (exp (* a eps)) 1.0)
5.0ms	(- (exp (* (+ a b) eps)) 1.0)

series166.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
32.0ms	(- (exp (* b eps)) 1.0)
37.0ms	(- (exp (* a eps)) 1.0)
46.0ms	(- (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

Filtered

88 candidates to 66 candidates (75.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 49.6b

Counts

89 → 7

localize32.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (exp (* a eps)) 1.0)
6.0b	(- (exp (* (+ a b) eps)) 1.0)
12.1b	(* (pow eps 2) (pow b 2))
13.6b	(* (pow eps 3) (pow b 3))

rewrite30.0ms

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 (* a eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
8.0ms	(* (pow eps 2) (pow b 2))
9.0ms	(* (pow eps 3) (pow b 3))

series187.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow eps 2) (pow b 2))
69.0ms	(* (pow eps 3) (pow b 3))

simplify84.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	460	772
1	2092	679
2	5001	636

prune555.0ms

Filtered

150 candidates to 78 candidates (52.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	147	10	157

Merged error: 49.1b

Counts

157 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (* (pow eps 2) (pow b 2))) (* eps b))))
4.0b	(- (exp (* a eps)) 1.0)
6.0b	(- (exp (* (+ a b) eps)) 1.0)
12.1b	(* (pow eps 2) (pow b 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
18×	`add-exp-log`
17×	`unswap-sqr`
16×	`*-un-lft-identity`
14×	`unpow-prod-down`
13×	`associate-l`
11×	`associate-r`
10×	`add-cube-cbrt` `prod-exp` `unpow2` `sqr-pow`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `pow-to-exp` `pow-exp`
5×	`flip3--` `flip--`
4×	`frac-times`
3×	`flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 109

Calls

4 calls:

14.0ms	(* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (* (pow eps 2) (pow b 2))) (* eps b))))
4.0ms	(- (exp (* a eps)) 1.0)
7.0ms	(- (exp (* (+ a b) eps)) 1.0)
7.0ms	(* (pow eps 2) (pow b 2))

series334.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (* (pow eps 2) (pow b 2))) (* eps b))))
35.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)
32.0ms	(* (pow eps 2) (pow b 2))

simplify105.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	612	1201
1	3063	1069
2	5002	1065

prune531.0ms

Filtered

121 candidates to 75 candidates (62.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	121	10	131

Merged error: 48.6b

Counts

131 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (pow (* b eps) 2)) (* eps b)))))
3.2b	(* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (pow (* b eps) 2)) (* eps b))))
4.0b	(- (exp (* a eps)) 1.0)
6.0b	(- (exp (* (+ a b) eps)) 1.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

20.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (pow (* b eps) 2)) (* eps b)))))
12.0ms	(* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (pow (* b eps) 2)) (* eps b))))
4.0ms	(- (exp (* a eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)

series1.7s

Counts

4 → 12

Calls

4 calls:

1.3s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (pow (* b eps) 2)) (* eps b)))))
219.0ms	(* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* b eps) 3)) (+ (* 1/2 (pow (* b eps) 2)) (* eps b))))
40.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify127.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	752	1944
1	4335	1667
2	5002	1667

prune438.0ms

Filtered

101 candidates to 73 candidates (72.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	8	1	9
Picked	1	0	1
Done	0	0	0
Total	107	4	111

Merged error: 0.1b

Counts

111 → 4

regimes83.0ms

Accuracy

0% (3.5b remaining)

Error of 3.6b against oracle of 0.1b and baseline of 3.6b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.7s	2539×	body	2560	valid
1.9s	3408×	body	1280	valid
365.0ms	1090×	body	640	valid
196.0ms	9831×	pre	80	true
122.0ms	1827×	body	80	overflowed
81.0ms	359×	body	320	valid
33.0ms	480×	body	80	valid
21.0ms	128×	body	160	valid

Details

sample185.0ms

simplify98.0ms

prune4.0ms

localize20.0ms

rewrite24.0ms

series166.0ms

simplify43.0ms

prune329.0ms

localize32.0ms

rewrite30.0ms

series187.0ms

simplify84.0ms

prune555.0ms

localize27.0ms

rewrite36.0ms

series334.0ms

simplify105.0ms

prune531.0ms

localize25.0ms

rewrite44.0ms

series1.7s

simplify127.0ms

prune438.0ms

regimes83.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample5.7s

Profiling