Details

sample228.0ms

Algorithm

intervals

Results

68.0ms	67×	body	2560	valid
67.0ms	73×	body	10240	exit
54.0ms	113×	body	1280	valid
11.0ms	44×	body	640	valid
6.0ms	329×	pre	80	true
2.0ms	13×	body	320	valid
1.0ms	18×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	252	24
4	711	24
5	3280	24
done	5000	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.6b	(- (exp (* a eps)) 1.0)
3.9b	(- (exp (* b eps)) 1.0)
6.1b	(- (exp (* (+ a b) eps)) 1.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
10×	`flip3--` `flip--` `add-log-exp`
9×	`fma-neg`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `associate-/l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 117

Calls

4 calls:

22.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
5.0ms	(- (exp (* a eps)) 1.0)
5.0ms	(- (exp (* b eps)) 1.0)
5.0ms	(- (exp (* (+ a b) eps)) 1.0)

series305.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
34.0ms	(- (exp (* a eps)) 1.0)
31.0ms	(- (exp (* b eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify988.0ms

Counts

129 → 129

Iterations

Useful iterations: done (984.0ms)

Iter	Nodes	Cost
0	228	2725
1	608	2432
2	2327	1949
done	5000	1922

prune446.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

17.0ms

(+ (/ 1 b) (/ 1 a))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(+ (/ 1 b) (/ 1 a))

simplify2.4s

Counts

37 → 37

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	42	245
1	108	231
2	244	211
3	570	210
4	1251	210
5	3154	210
done	5000	210

prune82.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

8.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series722.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt b) (cbrt b))
179.0ms	(cbrt b)
175.0ms	(cbrt b)
176.0ms	(cbrt b)

simplify3.6s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	65	554
1	119	495
2	322	423
3	1163	405
4	3785	400
done	5000	400

prune253.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)) (* eps (- (exp (* (+ a b) eps)) 1.0)))
3.6b	(- (exp (* a eps)) 1.0)
3.9b	(- (exp (* b eps)) 1.0)
6.1b	(- (exp (* (+ a b) eps)) 1.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
10×	`flip3--` `flip--` `add-log-exp`
9×	`fma-neg`
8×	`associate-/l/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `associate-/r/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 117

Calls

4 calls:

24.0ms	(/ (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)) (* eps (- (exp (* (+ a b) eps)) 1.0)))
5.0ms	(- (exp (* a eps)) 1.0)
5.0ms	(- (exp (* b eps)) 1.0)
5.0ms	(- (exp (* (+ a b) eps)) 1.0)

series337.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(/ (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)) (* eps (- (exp (* (+ a b) eps)) 1.0)))
34.0ms	(- (exp (* a eps)) 1.0)
32.0ms	(- (exp (* b eps)) 1.0)
49.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.2s

Counts

129 → 129

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	224	2698
1	633	2395
2	2552	1907
done	5000	1880

prune381.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes84.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.5s	2578×	body	2560	valid
1.7s	1910×	body	10240	exit
1.6s	3399×	body	1280	valid
295.0ms	1092×	body	640	valid
163.0ms	9910×	pre	80	true
68.0ms	361×	body	320	valid
23.0ms	442×	body	80	valid
15.0ms	128×	body	160	valid