Details

sample398.0ms

Algorithm

intervals

Results

133.0ms	114×	body	1280	valid
113.0ms	76×	body	2560	valid
89.0ms	70×	body	10240	exit
16.0ms	32×	body	640	valid
8.0ms	326×	pre	80	true
6.0ms	17×	body	320	valid
1.0ms	12×	body	80	valid
1.0ms	5×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	245	24
4	699	24
5	3583	24
done	5002	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.6b	(- (exp (* b eps)) 1.0)
3.3b	(- (exp (* a eps)) 1.0)
4.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite141.0ms

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:

93.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
18.0ms	(- (exp (* b eps)) 1.0)
13.0ms	(- (exp (* a eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)

series265.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
49.0ms	(- (exp (* b eps)) 1.0)
59.0ms	(- (exp (* a eps)) 1.0)
74.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify847.0ms

Counts

88 → 88

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	143	1364
1	355	1326
2	1635	1198
done	5001	1196

prune469.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 50.4b

localize64.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (exp (* a eps)) 1.0)
4.5b	(- (exp (* (+ a b) eps)) 1.0)
15.5b	(* (pow eps 2) (pow b 2))
17.6b	(* (pow eps 3) (pow b 3))

rewrite125.0ms

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:

21.0ms	(- (exp (* a eps)) 1.0)
32.0ms	(- (exp (* (+ a b) eps)) 1.0)
29.0ms	(* (pow eps 2) (pow b 2))
35.0ms	(* (pow eps 3) (pow b 3))

series235.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (exp (* a eps)) 1.0)
60.0ms	(- (exp (* (+ a b) eps)) 1.0)
37.0ms	(* (pow eps 2) (pow b 2))
102.0ms	(* (pow eps 3) (pow b 3))

simplify2.3s

Counts

150 → 150

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	207	1707
1	491	1532
2	3186	1328
done	5001	1323

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 49.3b

localize87.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp (* (+ a b) eps)) 1.0)
6.0b	(* (* (* b b) (pow eps 3)) (pow (cbrt b) 3))
14.8b	(* (* b b) (pow eps 3))
15.5b	(* (pow eps 2) (pow b 2))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
66×	`prod-exp`
38×	`associate-r`
37×	`add-sqr-sqrt`
24×	`unpow-prod-down`
21×	`pow-to-exp` `pow-exp`
20×	`add-cbrt-cube` `unswap-sqr`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`sqr-pow`
10×	`cube-prod` `associate-l` `cbrt-unprod` `unpow2`
6×	`cbrt-prod` `add-log-exp`
4×	`pow1`
3×	`*-commutative`
2×	`cube-mult` `unpow3`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

29.0ms	(- (exp (* (+ a b) eps)) 1.0)
118.0ms	(* (* (* b b) (pow eps 3)) (pow (cbrt b) 3))
32.0ms	(* (* b b) (pow eps 3))
19.0ms	(* (pow eps 2) (pow b 2))

series345.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (exp (* (+ a b) eps)) 1.0)
116.0ms	(* (* (* b b) (pow eps 3)) (pow (cbrt b) 3))
97.0ms	(* (* b b) (pow eps 3))
40.0ms	(* (pow eps 2) (pow b 2))

simplify488.0ms

Counts

161 → 161

Iterations

Useful iterations: done (480.0ms)

Iter	Nodes	Cost
0	223	2012
1	645	1649
done	5000	1405

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 49.3b

localize70.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (exp (* b eps)) 1.0)
4.5b	(- (exp (* (+ a b) eps)) 1.0)
14.7b	(* (pow a 2) (pow eps 2))
17.4b	(* (pow a 3) (pow eps 3))

rewrite134.0ms

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:

20.0ms	(- (exp (* b eps)) 1.0)
25.0ms	(- (exp (* (+ a b) eps)) 1.0)
33.0ms	(* (pow a 2) (pow eps 2))
51.0ms	(* (pow a 3) (pow eps 3))

series291.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (exp (* b eps)) 1.0)
69.0ms	(- (exp (* (+ a b) eps)) 1.0)
52.0ms	(* (pow a 2) (pow eps 2))
109.0ms	(* (pow a 3) (pow eps 3))

simplify2.6s

Counts

150 → 150

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	211	1707
1	502	1532
2	3191	1330
done	5001	1323

prune909.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 48.6b

regimes292.0ms

Accuracy

43.2% (5.1b remaining)

Error of 53.8b against oracle of 48.8b and baseline of 57.7b

bsearch1.7s

Steps

Iters	Range		Point
9	5.7375625426726884e+289	8.550830023498578e+294	2.9576575817204165e+293
7	1.2910309007853644e+179	3.207164207076804e+181	3.275590786210769e+179
8	1.0242638841362431e+67	4.3077971354131795e+69	1.8294720987358993e+68
5	-4.765656100776285e+142	-1.6135560021805546e+142	-1.70677655260281e+142

simplify18.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	65	227
1	89	181
2	91	181
3	93	181
done	93	181

end0.0ms

sample16.4s

Algorithm

intervals

Results

5.5s	2510×	body	2560	valid
4.6s	2048×	body	10240	exit
3.7s	3541×	body	1280	valid
1.0s	10049×	pre	80	true
622.0ms	1047×	body	640	valid
163.0ms	325×	body	320	valid
49.0ms	444×	body	80	valid
32.0ms	134×	body	160	valid