Details

sample93.0ms

Algorithm

intervals

Results

69.0ms	115×	body	10240	exit
8.0ms	256×	body	80	valid

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp a) (exp b))
56.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.3s

Counts: 51 → 51

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

23.0ms	(+ (exp a) (exp b))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (exp a) (exp b))
66.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.3s

Counts: 51 → 51

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

52.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
10.0ms	(+ (exp a) (exp b))
77.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
35.0ms	(+ (exp a) (exp b))
43.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
48.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.7s

Counts: 113 → 113

prune491.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
0.5b	(* (exp a) (exp b))
0.5b	(* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))))
4.3b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
55×	`times-frac`
41×	`add-sqr-sqrt`
36×	`associate-r`
35×	`distribute-lft-out`
34×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
13×	`add-cbrt-cube`
9×	`add-exp-log` `associate-/r*`
8×	`pow1`
7×	`sum-cubes`
6×	`associate-l` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `exp-prod` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `pow-prod-up` `flip--`

Counts

4 → 141

Calls

4 calls:

88.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
36.0ms	(* (exp a) (exp b))
363.0ms	(* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))))
24.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
21.0ms	(* (exp a) (exp b))
183.0ms	(* (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))))
71.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify1.8s

Counts: 153 → 153

prune529.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes136.0ms

Accuracy

81.7% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify659.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.0s	3604×	body	10240	exit
334.0ms	8000×	body	80	valid