Details

sample90.0ms

Algorithm

intervals

Results

35.0ms	55×	body	1280	valid
17.0ms	233×	body	80	valid
10.0ms	29×	body	640	valid
5.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

15.0ms

(* (exp re) (cos im))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(* (exp re) (cos im))

simplify1.8s

Counts: 21 → 21

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))

rewrite30.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))
20.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (exp re))
85.0ms	(cbrt (exp re))
96.0ms	(cbrt (exp re))
127.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify822.0ms

Counts: 85 → 85

prune346.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp re)) (cos im))
0.0b	(* (pow (exp (+ re re)) 1/3) (* (cbrt (exp re)) (cos im)))
0.0b	(cbrt (exp re))
0.0b	(pow (exp (+ re re)) 1/3)

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-exp-log` `add-cube-cbrt`
14×	`associate-l`
13×	`pow-pow`
12×	`exp-prod`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`unpow-prod-down`
7×	`pow1` `cbrt-prod` `cbrt-unprod`
4×	`associate-r` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `distribute-rgt-out` `unpow1/3` `pow-exp` `distribute-lft-out`
2×	`exp-sum` `*-commutative` `unswap-sqr` `sqr-pow`
1×	`distribute-lft1-in` `count-2` `pow1/3` `pow-prod-down` `distribute-rgt1-in`

Counts

4 → 91

Calls

4 calls:

13.0ms	(* (cbrt (exp re)) (cos im))
86.0ms	(* (pow (exp (+ re re)) 1/3) (* (cbrt (exp re)) (cos im)))
2.0ms	(cbrt (exp re))
41.0ms	(pow (exp (+ re re)) 1/3)

series505.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (exp re)) (cos im))
161.0ms	(* (pow (exp (+ re re)) 1/3) (* (cbrt (exp re)) (cos im)))
138.0ms	(cbrt (exp re))
103.0ms	(pow (exp (+ re re)) 1/3)

simplify2.1s

Counts: 103 → 103

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (exp (+ re re)) 1/3) (cbrt (exp re)))
0.0b	(* (* (pow (exp (+ re re)) 1/3) (cbrt (exp re))) (cos im))
0.0b	(cbrt (exp re))
0.0b	(pow (exp (+ re re)) 1/3)

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-exp-log` `add-cube-cbrt`
13×	`pow-pow`
12×	`unpow-prod-down` `exp-prod`
10×	`cbrt-prod` `prod-exp` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`unswap-sqr`
7×	`pow1` `cbrt-unprod`
4×	`exp-sum` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `distribute-rgt-out` `unpow1/3` `pow-exp` `distribute-lft-out`
2×	`pow1/3` `pow-prod-down` `*-commutative`
1×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`

Counts

4 → 98

Calls

4 calls:

62.0ms	(* (pow (exp (+ re re)) 1/3) (cbrt (exp re)))
80.0ms	(* (* (pow (exp (+ re re)) 1/3) (cbrt (exp re))) (cos im))
2.0ms	(cbrt (exp re))
32.0ms	(pow (exp (+ re re)) 1/3)

series506.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (pow (exp (+ re re)) 1/3) (cbrt (exp re)))
135.0ms	(* (* (pow (exp (+ re re)) 1/3) (cbrt (exp re))) (cos im))
102.0ms	(cbrt (exp re))
123.0ms	(pow (exp (+ re re)) 1/3)

simplify725.0ms

Counts: 110 → 110

prune478.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify20.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

886.0ms	7041×	body	80	valid
684.0ms	1470×	body	1280	valid
368.0ms	1260×	body	640	valid
187.0ms	634×	body	320	valid
36.0ms	321×	body	160	valid