Details

sample140.0ms

Algorithm

intervals

Results

77.0ms	168×	body	1280	valid
31.0ms	125×	body	640	valid
8.0ms	51×	body	320	valid
7.0ms	142×	body	80	valid
2.0ms	23×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 45.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.2b	(- (exp (- im)) (exp im))

rewrite16.0ms

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:

10.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.0ms	(- (exp (- im)) (exp im))

series110.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
33.0ms	(- (exp (- im)) (exp im))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (31.0ms)

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

prune122.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.1b

Counts

47 → 4

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

rewrite29.0ms

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:

4.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
6.0ms	(* 1/3 (pow im 3))
11.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
44.0ms	(* 1/60 (pow im 5))
39.0ms	(* 1/3 (pow im 3))
170.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (65.0ms)

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

prune313.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	11	113

Merged error: 0.0b

Counts

113 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

12.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
7.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series2.4s

Counts

4 → 12

Calls

4 calls:

615.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
590.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
584.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
581.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	382	1476
1	1336	1397
2	5002	1312

prune476.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	97	13	110

Merged error: 0.0b

Counts

110 → 13

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow im 5))
0.1b	(* 1/3 (pow im 3))
0.1b	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (/ (+ (- (* 4 (* im im))) (* (pow im 10) 1/3600)) (- (* 1/60 (pow im 5)) (* 2 im))))))
31.5b	(/ (+ (- (* 4 (* im im))) (* (pow im 10) 1/3600)) (- (* 1/60 (pow im 5)) (* 2 im)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
15×	`add-cbrt-cube`
9×	`pow1` `times-frac` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `add-log-exp` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `distribute-rgt-in` `cube-mult` `associate-+l-` `neg-mul-1` `flip3--` `frac-2neg` `distribute-lft-in` `unpow3` `div-sub` `div-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `div-inv`

Counts

4 → 118

Calls

4 calls:

6.0ms	(* 1/60 (pow im 5))
7.0ms	(* 1/3 (pow im 3))
17.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (/ (+ (- (* 4 (* im im))) (* (pow im 10) 1/3600)) (- (* 1/60 (pow im 5)) (* 2 im))))))
10.0ms	(/ (+ (- (* 4 (* im im))) (* (pow im 10) 1/3600)) (- (* 1/60 (pow im 5)) (* 2 im)))

series769.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 1/60 (pow im 5))
34.0ms	(* 1/3 (pow im 3))
388.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (/ (+ (- (* 4 (* im im))) (* (pow im 10) 1/3600)) (- (* 1/60 (pow im 5)) (* 2 im))))))
296.0ms	(/ (+ (- (* 4 (* im im))) (* (pow im 10) 1/3600)) (- (* 1/60 (pow im 5)) (* 2 im)))

simplify97.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	688	1475
1	3344	1329
2	5001	1310

prune691.0ms

Filtered

130 candidates to 88 candidates (67.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	8	10
Picked	1	0	1
Done	0	2	2
Total	131	12	143

Merged error: 0.0b

Counts

143 → 12

regimes302.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	46	11
2	65	11
3	65	11

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.1s	4669×	body	1280	valid
915.0ms	3694×	body	640	valid
298.0ms	1802×	body	320	valid
212.0ms	4341×	body	80	valid
99.0ms	983×	body	160	valid