Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	256×	pre	80	true
13.0ms	256×	body	80	valid

simplify365.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

365.0ms

(* (+ a (+ b (+ c d))) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize12.0ms

Local error

Found 2 expressions with local error:

2.9b	(+ a (+ b (+ c d)))
0.4b	(+ b (+ c d))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-log-exp`
9×	`sum-log` `distribute-lft-out`
6×	`fma-def`
4×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

2 → 44

Calls

2 calls:

Slowest

56.0ms	(+ a (+ b (+ c d)))
22.0ms	(+ b (+ c d))

series84.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

54.0ms	(+ a (+ b (+ c d)))
30.0ms	(+ b (+ c d))

simplify949.0ms

Counts

21 → 50

Calls

21 calls:

Slowest

188.0ms	(* (exp a) (* (exp b) (* (exp c) (exp d))))
172.0ms	(* (exp a) (exp (+ b (+ c d))))
144.0ms	(* (exp a) (* (exp b) (exp (+ c d))))
64.0ms	(* (exp b) (exp (+ c d)))
64.0ms	(* (exp b) (* (exp c) (exp d)))

prune548.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 1 expressions with local error:

2.9b	(+ a (+ (+ b c) d))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
3×	`fma-def`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 23

Calls

1 calls:

Slowest

54.0ms

(+ a (+ (+ b c) d))

series37.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

37.0ms

(+ a (+ (+ b c) d))

simplify780.0ms

Counts

11 → 26

Calls

11 calls:

Slowest

178.0ms	(* (exp a) (* (exp (+ b c)) (exp d)))
163.0ms	(* (exp a) (* (* (exp b) (exp c)) (exp d)))
153.0ms	(* (exp a) (exp (+ (+ b c) d)))
80.0ms	(+ a (+ (+ b c) d))
78.0ms	(+ a (+ (+ b c) d))

prune308.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.7b

localize37.0ms

Local error

Found 3 expressions with local error:

2.9b	(+ a (+ (+ b c) d))
0.1b	(expm1 (+ a (+ (+ b c) d)))
0.1b	(log1p (expm1 (+ a (+ (+ b c) d))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-log-exp`
6×	`sum-log` `distribute-lft-out`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log1p-expm1-u`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16`
1×	`+-commutative` `associate-+r+` `log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `flip-+` `expm1-udef`

Counts

3 → 47

Calls

3 calls:

Slowest

79.0ms	(+ a (+ (+ b c) d))
0.0ms	(expm1 (+ a (+ (+ b c) d)))
0.0ms	(log1p (expm1 (+ a (+ (+ b c) d))))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

102.0ms	(log1p (expm1 (+ a (+ (+ b c) d))))
67.0ms	(expm1 (+ a (+ (+ b c) d)))
51.0ms	(+ a (+ (+ b c) d))

simplify1.2s

Counts

18 → 56

Calls

18 calls:

Slowest

227.0ms	(* (exp a) (* (* (exp b) (exp c)) (exp d)))
182.0ms	(* (exp a) (exp (+ (+ b c) d)))
177.0ms	(* (exp a) (* (exp (+ b c)) (exp d)))
175.0ms	(- (exp (+ a (+ b (+ c d)))) 1)
155.0ms	(- (exp (+ a (+ b (+ c d)))) 1)

prune668.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.6b

localize32.0ms

Local error

Found 4 expressions with local error:

2.9b	(+ a (+ (+ b c) d))
2.9b	(+ a (+ (+ b c) d))
2.9b	(+ a (+ (+ b c) d))
0.6b	(cbrt (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
31×	`add-log-exp`
18×	`sum-log` `distribute-lft-out`
9×	`fma-def`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

Slowest

69.0ms	(+ a (+ (+ b c) d))
52.0ms	(+ a (+ (+ b c) d))
43.0ms	(+ a (+ (+ b c) d))
10.0ms	(cbrt (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(cbrt (* (* (expm1 (+ a (+ (+ b c) d))) (expm1 (+ a (+ (+ b c) d)))) (expm1 (+ a (+ (+ b c) d)))))
56.0ms	(+ a (+ (+ b c) d))
43.0ms	(+ a (+ (+ b c) d))
39.0ms	(+ a (+ (+ b c) d))

simplify2.8s

Counts

38 → 94

Calls

38 calls:

Slowest

230.0ms	(* (exp a) (* (* (exp b) (exp c)) (exp d)))
197.0ms	(* (exp a) (* (exp (+ b c)) (exp d)))
185.0ms	(* (exp a) (exp (+ (+ b c) d)))
183.0ms	(- (exp (+ a (+ b (+ c d)))) 1)
178.0ms	(* (exp a) (* (exp (+ b c)) (exp d)))

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 1.2b

regimes990.0ms

Accuracy

0% (1.7b remaining)

Error of 2.7b against oracle of 1.1b and baseline of 2.7b

bsearch7.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

657.0ms	8000×	pre	80	true
547.0ms	8000×	body	80	valid