Details

sample129.0ms

Algorithm

intervals

Results

59.0ms	144×	body	1280	valid
37.0ms	142×	body	640	valid
10.0ms	66×	body	320	valid
6.0ms	136×	body	80	valid
3.0ms	27×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1079	7
7	2595	7
8	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.2b	(- (exp (- im)) (exp im))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

28.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
11.0ms	(- (exp (- im)) (exp im))

series122.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
41.0ms	(- (exp (- im)) (exp im))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	330
2	5001	329

prune121.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow im 5)) (* 2 im))
0.0b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.2b	(* 1/3 (pow im 3))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `unpow3` `sum-log` `distribute-rgt-neg-out`

Counts

4 → 97

Calls

4 calls:

3.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
56.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
7.0ms	(* 1/3 (pow im 3))

series398.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
46.0ms	(* 1/60 (pow im 5))
177.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
40.0ms	(* 1/3 (pow im 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	533	736
1	2612	661
2	5002	658

prune531.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.008333333333333333 (* (sin re) (pow im 5)))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`prod-exp` `add-cbrt-cube`
17×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`pow1`
8×	`cbrt-unprod`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `*-commutative` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp`
2×	`sqr-pow`
1×	`cube-mult` `unpow3`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
13.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
7.0ms	(* (sin re) (pow im 3))
4.0ms	(* (sin re) im)

series343.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* 0.008333333333333333 (* (sin re) (pow im 5)))
92.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
78.0ms	(* (sin re) (pow im 3))
32.0ms	(* (sin re) im)

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	355	497
1	1565	414
2	5002	414

prune272.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (pow im 3))
26.3b	(cbrt (* 1/60 (pow im 5)))
26.3b	(cbrt (* 1/60 (pow im 5)))
26.3b	(cbrt (* 1/60 (pow im 5)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* 1/3 (pow im 3))
2.0ms	(cbrt (* 1/60 (pow im 5)))
2.0ms	(cbrt (* 1/60 (pow im 5)))
2.0ms	(cbrt (* 1/60 (pow im 5)))

series750.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 1/3 (pow im 3))
245.0ms	(cbrt (* 1/60 (pow im 5)))
235.0ms	(cbrt (* 1/60 (pow im 5)))
235.0ms	(cbrt (* 1/60 (pow im 5)))

simplify171.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	155	280
1	582	248
2	3376	242
3	5002	242

prune237.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes167.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	20
1	50	20
2	69	20
3	71	20
4	71	20

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	4806×	body	1280	valid
954.0ms	3833×	body	640	valid
305.0ms	1894×	body	320	valid
216.0ms	4534×	body	80	valid
104.0ms	994×	body	160	valid