Details

sample404.0ms

Algorithm

intervals

Results

133.0ms	86×	body	2560	valid
96.0ms	93×	body	1280	valid
81.0ms	55×	body	10240	exit
39.0ms	311×	pre	80	true
26.0ms	42×	body	640	valid
8.0ms	15×	body	320	valid
2.0ms	17×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.7s

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.9b

localize37.0ms

Local error

Found 4 expressions with local error:

5.2b	(- (exp (* (+ a b) eps)) 1)
4.3b	(- (exp (* a eps)) 1)
2.9b	(- (exp (* b eps)) 1)
1.0b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
10×	`add-log-exp` `difference-of-squares`
9×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `difference-of-sqr-1` `distribute-lft-out--`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

62.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
13.0ms	(- (exp (* (+ a b) eps)) 1)
12.0ms	(- (exp (* b eps)) 1)
11.0ms	(- (exp (* a eps)) 1)

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
60.0ms	(- (exp (* (+ a b) eps)) 1)
45.0ms	(- (exp (* a eps)) 1)
44.0ms	(- (exp (* b eps)) 1)

simplify1.5s

Counts: 102 → 102

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 45.0b

localize53.0ms

Local error

Found 4 expressions with local error:

5.2b	(- (exp (* (+ a b) eps)) 1)
2.9b	(- (exp (* b eps)) 1)
2.8b	(* (* (* eps a) (* eps a)) a)
2.7b	(* (* (* (* eps a) (* eps a)) a) eps)

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1` `add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`add-log-exp`
6×	`associate-r` `add-cube-cbrt`
4×	`insert-posit16` `difference-of-squares`
2×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `associate-l` `*-commutative` `flip--` `distribute-lft-out--`
1×	`unswap-sqr`

Counts

4 → 94

Calls

4 calls:

Slowest

233.0ms	(* (* (* (* eps a) (* eps a)) a) eps)
85.0ms	(* (* (* eps a) (* eps a)) a)
19.0ms	(- (exp (* b eps)) 1)
15.0ms	(- (exp (* (+ a b) eps)) 1)

series224.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(* (* (* eps a) (* eps a)) a)
65.0ms	(* (* (* (* eps a) (* eps a)) a) eps)
62.0ms	(- (exp (* (+ a b) eps)) 1)
33.0ms	(- (exp (* b eps)) 1)

simplify3.8s

Counts: 106 → 106

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.9b

localize95.0ms

Local error

Found 4 expressions with local error:

5.2b	(- (exp (* (+ a b) eps)) 1)
2.8b	(+ -1 (exp (* b (+ (+ eps eps) eps))))
2.8b	(* (* (* eps a) (* eps a)) a)
2.7b	(* (* (* (* eps a) (* eps a)) a) eps)

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1` `add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`associate-r` `add-cube-cbrt`
4×	`insert-posit16`
2×	`associate-l` `*-commutative` `difference-of-squares`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `difference-of-sqr-1` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

313.0ms	(* (* (* (* eps a) (* eps a)) a) eps)
69.0ms	(* (* (* eps a) (* eps a)) a)
23.0ms	(- (exp (* (+ a b) eps)) 1)
10.0ms	(+ -1 (exp (* b (+ (+ eps eps) eps))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

89.0ms	(* (* (* eps a) (* eps a)) a)
81.0ms	(* (* (* (* eps a) (* eps a)) a) eps)
62.0ms	(+ -1 (exp (* b (+ (+ eps eps) eps))))
56.0ms	(- (exp (* (+ a b) eps)) 1)

simplify763.0ms

Counts: 102 → 102

prune2.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 44.6b

localize158.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (exp (+ (* (+ b a) eps) (+ (* (+ b a) eps) (* (+ b a) eps)))) 1)
2.8b	(+ -1 (exp (* b (+ (+ eps eps) eps))))
2.8b	(* (* (* eps a) (* eps a)) a)
2.7b	(* (* (* (* eps a) (* eps a)) a) eps)

rewrite834.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1` `add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`associate-r` `add-cube-cbrt`
4×	`insert-posit16`
2×	`associate-l` `*-commutative` `difference-of-squares`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `difference-of-sqr-1` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

374.0ms	(- (exp (+ (* (+ b a) eps) (+ (* (+ b a) eps) (* (+ b a) eps)))) 1)
343.0ms	(* (* (* (* eps a) (* eps a)) a) eps)
111.0ms	(* (* (* eps a) (* eps a)) a)
5.0ms	(+ -1 (exp (* b (+ (+ eps eps) eps))))

series336.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(* (* (* (* eps a) (* eps a)) a) eps)
98.0ms	(- (exp (+ (* (+ b a) eps) (+ (* (+ b a) eps) (* (+ b a) eps)))) 1)
80.0ms	(* (* (* eps a) (* eps a)) a)
46.0ms	(+ -1 (exp (* b (+ (+ eps eps) eps))))

simplify741.0ms

Counts: 102 → 102

prune3.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 44.6b

regimes384.0ms

Accuracy

45.9% (5.0b remaining)

Error of 51.0b against oracle of 46.0b and baseline of 55.3b

bsearch924.0ms

end0.0ms

sample19.6s

Algorithm

intervals

Results

6.0s	3465×	body	1280	valid
5.9s	2514×	body	2560	valid
4.7s	1986×	body	10240	exit
1.5s	1091×	body	640	valid
571.0ms	9988×	pre	80	true
299.0ms	353×	body	320	valid
75.0ms	445×	body	80	valid
70.0ms	134×	body	160	valid