Details

sample214.0ms

Algorithm

intervals

Results

71.0ms	73×	body	2560	valid
55.0ms	117×	body	1280	valid
52.0ms	52×	body	10240	exit
9.0ms	36×	body	640	valid
5.0ms	308×	pre	80	true
1.0ms	8×	body	320	valid
1.0ms	18×	body	80	valid
0.0ms	4×	body	160	valid

simplify99.0ms

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
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.7b	(- (exp (* b eps)) 1.0)
2.8b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`prod-diff`
39×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-log-exp`
9×	`flip3--` `fma-neg` `flip--`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`diff-log`
2×	`associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

72.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
17.0ms	(- (exp (* b eps)) 1.0)
14.0ms	(- (exp (* a eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)

series175.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
33.0ms	(- (exp (* b eps)) 1.0)
34.0ms	(- (exp (* a eps)) 1.0)
52.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify63.0ms

Counts

150 → 150

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	488	1660
1	2051	1241
2	5003	1216
done	5003	1216

prune471.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 48.1b

localize33.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)
14.1b	(* (pow eps 2) (pow b 2))
15.4b	(* (pow eps 3) (pow b 3))

rewrite74.0ms

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))
20.0ms	(* (pow eps 3) (pow b 3))

series184.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (exp (* a eps)) 1.0)
48.0ms	(- (exp (* (+ a b) eps)) 1.0)
32.0ms	(* (pow eps 2) (pow b 2))
66.0ms	(* (pow eps 3) (pow b 3))

simplify94.0ms

Counts

182 → 182

Iterations

Useful iterations: 2 (82.0ms)

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

prune735.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 47.9b

localize31.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (exp (* (+ a b) eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)
14.1b	(* (pow eps 2) (pow b 2))
15.4b	(* (pow eps 3) (pow b 3))

rewrite76.0ms

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:

15.0ms	(- (exp (* (+ a b) eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)
20.0ms	(* (pow eps 2) (pow b 2))
20.0ms	(* (pow eps 3) (pow b 3))

series198.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (exp (* (+ a b) eps)) 1.0)
53.0ms	(- (exp (* (+ a b) eps)) 1.0)
32.0ms	(* (pow eps 2) (pow b 2))
65.0ms	(* (pow eps 3) (pow b 3))

simplify80.0ms

Counts

182 → 182

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	463	1208
1	2333	918
2	5001	905
done	5001	905

prune824.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 47.9b

localize32.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* (+ a b) eps)) 1.0)
14.1b	(* (pow eps 2) (pow b 2))
15.4b	(* (pow eps 3) (pow b 3))

rewrite75.0ms

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:

14.0ms	(- (exp (* a eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)
20.0ms	(* (pow eps 2) (pow b 2))
20.0ms	(* (pow eps 3) (pow b 3))

series183.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (exp (* a eps)) 1.0)
53.0ms	(- (exp (* (+ a b) eps)) 1.0)
31.0ms	(* (pow eps 2) (pow b 2))
65.0ms	(* (pow eps 3) (pow b 3))

simplify92.0ms

Counts

182 → 182

Iterations

Useful iterations: 2 (81.0ms)

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

prune754.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 47.9b

regimes259.0ms

Accuracy

47.6% (4.6b remaining)

Error of 53.8b against oracle of 49.2b and baseline of 58.0b

bsearch430.0ms

Steps

Iters	Range	Point
7	1.5508478278740396e+18	5.540055658358989e+19	3.830860370444742e+19
9	-6.913431520583017e+89	-5.532268721092573e+81	-5.631940663491904e+81
6	-7.158745375370162e+196	-1.2105462976687154e+196	-6.3172743455367056e+196

Iters

Range

Point

1.5508478278740396e+18

5.540055658358989e+19

3.830860370444742e+19

-6.913431520583017e+89

-5.532268721092573e+81

-5.631940663491904e+81

-7.158745375370162e+196

-1.2105462976687154e+196

-6.3172743455367056e+196

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	78
1	74	78
done	74	78

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.5s	2571×	body	2560	valid
1.7s	1948×	body	10240	exit
1.6s	3483×	body	1280	valid
276.0ms	1054×	body	640	valid
170.0ms	448×	body	80	valid
145.0ms	9949×	pre	80	true
60.0ms	332×	body	320	valid
13.0ms	113×	body	160	valid