Details

sample78.0ms

Algorithm

intervals

Results

21.0ms	35×	body	1280	valid
17.0ms	224×	body	80	valid
14.0ms	40×	body	640	valid
5.0ms	21×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:

30.0ms

(* (exp re) (sin im))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(* (exp re) (sin im))

simplify3.2s

Counts

21 → 21

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	228	136
3	384	136
4	553	136
5	934	136
6	2249	136
done	5000	136

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

4.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
19.0ms	(* (sqrt (exp re)) (sin im))
57.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp re))
24.0ms	(sqrt (exp re))
100.0ms	(* (sqrt (exp re)) (sin im))
62.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify4.6s

Counts

87 → 87

Iterations

Useful iterations: 3 (608.0ms)

Iter	Nodes	Cost
0	81	731
1	171	586
2	483	526
3	929	517
4	1270	517
5	2734	517
done	5000	517

prune217.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
0.4b	(cbrt (* (sqrt (exp re)) (sin im)))
0.4b	(cbrt (* (sqrt (exp re)) (sin im)))
0.4b	(cbrt (* (sqrt (exp re)) (sin im)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

29.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
20.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
14.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
11.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
124.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
127.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
143.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

simplify2.4s

Counts

70 → 70

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	72	928
1	156	824
2	397	708
3	981	619
4	3082	586
done	5001	558

prune260.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin im) (exp re))
0.2b	(pow (* (sin im) (exp re)) 3)
14.5b	(cbrt (pow (* (sin im) (exp re)) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`pow-unpow` `associate-r` `associate-l` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

26.0ms	(* (sin im) (exp re))
16.0ms	(pow (* (sin im) (exp re)) 3)
6.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

series158.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (sin im) (exp re))
66.0ms	(pow (* (sin im) (exp re)) 3)
43.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

simplify3.5s

Counts

66 → 66

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	82	627
1	168	499
2	560	468
3	3208	468
done	5000	464

prune158.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.7s

Algorithm

intervals

Results

909.0ms	6925×	body	80	valid
788.0ms	1477×	body	1280	valid
463.0ms	1212×	body	640	valid
116.0ms	638×	body	320	valid
37.0ms	304×	body	160	valid