Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

prune3.0ms

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: 31.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.2b	(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
22×	`log-pow`
21×	`pow1`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-pow1` `pow1/2` `associate-/l*`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div` `associate-/r*`
3×	`flip3-+` `sqrt-prod` `flip-+`
2×	`log-div` `div-sub`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 74

Calls

3 calls:

3.0ms	(+ (* re re) (* im im))
7.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms	(sqrt (+ (* re re) (* im im)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* re re) (* im im))
18.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5633	1166

prune164.0ms

Filtered

56 candidates to 83 candidates (-48.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	68	15	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	15	84

Merged error: 7.0b

Counts

84 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))))
0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.6b	(exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)))
29.2b	(sqrt (+ (* re re) (* im im)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

88×	`log-pow`
72×	`times-frac`
56×	`exp-prod`
51×	`pow1`
41×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1` `pow1/2`
8×	`log-div` `sqrt-div`
6×	`add-exp-log` `div-sub` `add-cbrt-cube` `associate-/l*`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `exp-diff` `associate-/r*` `flip-+`
3×	`log-prod` `sqrt-prod`
2×	`exp-to-pow`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

4 → 145

Calls

4 calls:

8.0ms	(log (exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))))
7.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms	(exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)))
4.0ms	(sqrt (+ (* re re) (* im im)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))))
22.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
26.0ms	(exp (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)))
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify48.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5305	2056

prune239.0ms

Filtered

93 candidates to 157 candidates (-68.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	157	15	172

Merged error: 7.0b

Counts

172 → 15

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.5b	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.8b	(pow (exp (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
30.3b	(log (+ (* re re) (* im im)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
33×	`pow1`
32×	`pow-unpow`
28×	`log-pow`
26×	`pow-pow`
25×	`exp-prod`
7×	`add-exp-log` `associate-/r*`
6×	`log-div` `add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `div-sub` `flip-+` `associate-/l*`
3×	`unpow-prod-down` `log-prod` `div-inv`
2×	`pow-sub`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `rem-log-exp` `pow-exp` `clear-num` `sum-log` `sqr-pow`

Counts

4 → 151

Calls

4 calls:

4.0ms	(+ (* re re) (* im im))
7.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
12.0ms	(pow (exp (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
3.0ms	(log (+ (* re re) (* im im)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* re re) (* im im))
21.0ms	(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
47.0ms	(pow (exp (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
9.0ms	(log (+ (* re re) (* im im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5074	2842

prune425.0ms

Filtered

103 candidates to 163 candidates (-58.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	157	6	163
Fresh	8	5	13
Picked	1	0	1
Done	0	1	1
Total	166	12	178

Merged error: 6.8b

Counts

178 → 12

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
4.8b	(pow (exp (/ 1/2 (sqrt (log 10.0)))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
14.8b	(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
16.7b	(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`pow-unpow`
27×	`pow-pow`
25×	`exp-prod`
24×	`sqrt-prod`
14×	`log-prod`
12×	`pow1` `unpow-prod-down`
8×	`log-pow`
7×	`unpow-prod-up` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `sqr-pow`
3×	`pow-to-exp` `rem-log-exp` `pow-exp`
2×	`div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 118

Calls

4 calls:

4.0ms	(+ (* re re) (* im im))
11.0ms	(pow (exp (/ 1/2 (sqrt (log 10.0)))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
4.0ms	(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
7.0ms	(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* re re) (* im im))
61.0ms	(pow (exp (/ 1/2 (sqrt (log 10.0)))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
35.0ms	(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
34.0ms	(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify73.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	2152
1	4959	2152

prune296.0ms

Filtered

86 candidates to 130 candidates (-51.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	129	13	142

Merged error: 6.8b

Counts

142 → 13

regimes1.2s

Accuracy

54.8% (11.1b remaining)

Error of 18.5b against oracle of 7.4b and baseline of 32.0b

bsearch106.0ms

Steps

Iters	Range		Point
5	4.9831912547538184e+91	1.3655005271697367e+92	1.0407504367576015e+92
9	-7.676761036242019e-305	3.3654627424431923e-307	-3.262097641934972e-305
8	-9.68551370084772e-266	-3.1195446902457074e-268	-8.989235959462165e-268
6	-2.5813786317977038e-228	-4.831942603898146e-229	-2.5556997558112552e-228
8	-4.1224973217545363e-162	-8.319227739701396e-165	-8.395017692797379e-165
7	-3.8095654050866245e+140	-5.961519079968264e+138	-1.0565365445657685e+139

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	178
1	71	178

end0.0ms

sample683.0ms

Algorithm

intervals

Results

472.0ms

8000×

body

valid

Details

sample26.0ms

simplify3.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series32.0ms

simplify49.0ms

prune164.0ms

localize16.0ms

rewrite30.0ms

series72.0ms

simplify48.0ms

prune239.0ms

localize21.0ms

rewrite33.0ms

series84.0ms

simplify44.0ms

prune425.0ms

localize29.0ms

rewrite30.0ms

series135.0ms

simplify73.0ms

prune296.0ms

regimes1.2s

bsearch106.0ms

simplify2.0ms

end0.0ms

sample683.0ms

Profiling