Details

sample113.0ms

Algorithm

intervals

Results

49.0ms	99×	body	1280	valid
21.0ms	80×	body	640	valid
10.0ms	42×	body	320	valid
7.0ms	147×	body	80	valid
6.0ms	122×	body	80	overflowed
2.0ms	21×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	92	7
3	163	7
4	405	7
5	865	7
6	1189	7
7	2771	7
8	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.2b	(- (exp (- im)) (exp im))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 74

Calls

2 calls:

67.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
24.0ms	(- (exp (- im)) (exp im))

series110.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms	(- (exp (- im)) (exp im))

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	371	1102
1	1544	774
2	5001	722

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
13×	`add-exp-log`
10×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `add-cbrt-cube`
8×	`pow1`
7×	`add-log-exp`
6×	`fma-neg` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `log1p-expm1-u`
2×	`flip3--` `diff-log` `associate-r/` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`associate--l-` `neg-sub0` `cube-mult` `pow-to-exp` `unpow3` `neg-log` `pow-exp` `fma-udef` `associate--r+`

Counts

3 → 140

Calls

3 calls:

12.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
51.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
12.0ms	(* 1/3 (pow im 3))

series247.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
159.0ms	(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
37.0ms	(* 1/3 (pow im 3))

simplify94.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	583	2592
1	2548	1630
2	5001	1618

prune340.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`expm1-log1p-u` `cube-prod` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 101

Calls

4 calls:

14.0ms	(* (sin re) (pow im 5))
17.0ms	(* (sin re) (pow im 3))
24.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
10.0ms	(* (sin re) im)

series309.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (sin re) (pow im 5))
77.0ms	(* (sin re) (pow im 3))
86.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
31.0ms	(* (sin re) im)

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	346	536
1	1461	466
2	5001	466

prune561.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt im) (cbrt im))
0.7b	(cbrt im)
0.7b	(cbrt im)
0.7b	(cbrt im)

rewrite16.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

11.0ms	(* (cbrt im) (cbrt im))
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series691.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt im) (cbrt im))
167.0ms	(cbrt im)
172.0ms	(cbrt im)
166.0ms	(cbrt im)

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune357.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes328.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	35	13
2	35	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	3292×	body	1280	valid
728.0ms	2610×	body	640	valid
223.0ms	4437×	body	80	valid
205.0ms	1226×	body	320	valid
167.0ms	3599×	body	80	overflowed
70.0ms	665×	body	160	valid