Details

sample220.0ms

Algorithm

intervals

Results

71.0ms	77×	body	2560	valid
58.0ms	68×	body	10240	exit
57.0ms	119×	body	1280	valid
10.0ms	34×	body	640	valid
5.0ms	324×	pre	80	true
2.0ms	11×	body	320	valid
1.0ms	5×	body	160	valid
1.0ms	10×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	239	24
4	653	24
5	2845	24
done	5000	24

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.7b	(- (exp (* a eps)) 1.0)
4.8b	(- (exp (* b eps)) 1.0)
6.0b	(- (exp (* (+ a b) eps)) 1.0)

rewrite38.0ms

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:

25.0ms	(* (- (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))
38.0ms	(- (exp (* a eps)) 1.0)
32.0ms	(- (exp (* b eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify439.0ms

Counts

88 → 88

Iterations

Useful iterations: done (436.0ms)

Iter	Nodes	Cost
0	143	1364
1	345	1326
2	1275	1196
done	5002	1190

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 50.1b

localize26.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (exp (* a eps)) 1.0)
6.0b	(- (exp (* (+ a b) eps)) 1.0)
8.4b	(* (* 1/2 (pow eps 2)) b)
18.6b	(* (pow eps 3) (pow b 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`add-exp-log`
16×	`prod-exp` `unswap-sqr`
15×	`-un-lft-identity` `associate-r*`
14×	`unpow-prod-down` `cube-prod`
13×	`associate-l`
11×	`add-cube-cbrt` `add-cbrt-cube`
10×	`sqr-pow`
8×	`add-log-exp`
7×	`pow-to-exp` `pow-exp`
6×	`pow1`
4×	`cbrt-unprod`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

4.0ms	(- (exp (* a eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (* 1/2 (pow eps 2)) b)
14.0ms	(* (pow eps 3) (pow b 3))

series168.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (exp (* a eps)) 1.0)
45.0ms	(- (exp (* (+ a b) eps)) 1.0)
20.0ms	(* (* 1/2 (pow eps 2)) b)
65.0ms	(* (pow eps 3) (pow b 3))

simplify765.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	176	1341
1	420	1202
2	1789	1122
done	5001	1122

prune499.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 49.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (* (pow eps 3) b) b)
5.8b	(* (* (* (pow eps 3) b) b) b)
6.0b	(- (exp (* (+ a b) eps)) 1.0)
8.4b	(* (* 1/2 (pow eps 2)) b)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
26×	`prod-exp`
23×	`add-cbrt-cube`
13×	`pow1`
12×	`cbrt-unprod`
9×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow-prod-down`
3×	`pow-to-exp` `associate-l` `pow-exp` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* (* (pow eps 3) b) b)
34.0ms	(* (* (* (pow eps 3) b) b) b)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (* 1/2 (pow eps 2)) b)

series178.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (pow eps 3) b) b)
61.0ms	(* (* (* (pow eps 3) b) b) b)
51.0ms	(- (exp (* (+ a b) eps)) 1.0)
22.0ms	(* (* 1/2 (pow eps 2)) b)

simplify783.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	134	997
1	358	892
2	1494	742
done	5000	742

prune363.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 49.0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (* (pow eps 3) b) b)
5.8b	(* (* (* (pow eps 3) b) b) b)
6.0b	(- (exp (* (+ a b) eps)) 1.0)
8.4b	(* (* 1/2 (pow eps 2)) b)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
26×	`prod-exp`
23×	`add-cbrt-cube`
13×	`pow1`
12×	`cbrt-unprod`
9×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow-prod-down`
3×	`pow-to-exp` `associate-l` `pow-exp` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

9.0ms	(* (* (pow eps 3) b) b)
36.0ms	(* (* (* (pow eps 3) b) b) b)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
9.0ms	(* (* 1/2 (pow eps 2)) b)

series179.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (pow eps 3) b) b)
67.0ms	(* (* (* (pow eps 3) b) b) b)
51.0ms	(- (exp (* (+ a b) eps)) 1.0)
22.0ms	(* (* 1/2 (pow eps 2)) b)

simplify779.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	134	997
1	358	892
2	1494	742
done	5000	742

prune352.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 49.0b

regimes235.0ms

Accuracy

53.2% (3.9b remaining)

Error of 52.7b against oracle of 48.8b and baseline of 57.2b

bsearch312.0ms

Steps

Iters	Range		Point
11	3.9777289923527025e+45	6.762908678833405e+72	6.566435701181497e+46
5	-2.350670412092924e+26	-9.509086209243448e+25	-2.3194785649155656e+26

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	132
1	75	132
done	75	132

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.5s	2599×	body	2560	valid
1.8s	2102×	body	10240	exit
1.7s	3417×	body	1280	valid
288.0ms	1057×	body	640	valid
172.0ms	10105×	pre	80	true
67.0ms	360×	body	320	valid
23.0ms	439×	body	80	valid
15.0ms	131×	body	160	valid