Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

sample227.0ms

Algorithm

intervals

Results

151.0ms	95×	body	2560	valid
51.0ms	88×	body	1280	valid
6.0ms	33×	body	640	valid
4.0ms	256×	pre	80	true
3.0ms	24×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	1×	body	80	valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune4.0ms

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: 59.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.8b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_1201`
28×	`*-un-lft-identity_binary64_1216`
27×	`times-frac_binary64_1211`
12×	`add-cube-cbrt_binary64_1187`
9×	`difference-of-squares_binary64_1245`
7×	`distribute-lft-out--_binary64_1261`
5×	`div-inv_binary64_1217` `add-exp-log_binary64_1180`
4×	`add-cbrt-cube_binary64_1188` `add-log-exp_binary64_1181`
3×	`pow1_binary64_1162` `associate-/r_binary64_1279` `associate-/l_binary64_1280`
1×	`flip3--_binary64_1215` `div-exp_binary64_1169` `rec-exp_binary64_1168` `frac-sub_binary64_1207` `clear-num_binary64_1219` `pow-flip_binary64_1146` `associate-/r/_binary64_1281` `diff-log_binary64_1132` `cbrt-undiv_binary64_1186` `tan-quot_binary64_1091` `sub-neg_binary64_1220` `inv-pow_binary64_1138` `frac-2neg_binary64_1209` `flip--_binary64_1242`

Counts

2 → 59

Calls

2 calls:

4.0ms	(/.f64 1 (tan.f64 x))
14.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/.f64 1 (tan.f64 x))
85.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4871	998
1	4871	998

prune156.0ms

Filtered

40 candidates to 65 candidates (-62.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	2	66

Merged error: 0.3b

Counts

66 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_1201`
22×	`associate-r_binary64_1275`
15×	`add-exp-log_binary64_1180`
12×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
9×	`add-cbrt-cube_binary64_1188` `associate-l_binary64_1276`
8×	`unpow-prod-down_binary64_1151` `unswap-sqr_binary64_1244`
7×	`prod-exp_binary64_1167`
5×	`pow1_binary64_1162`
4×	`sqr-pow_binary64_1248` `cube-prod_binary64_1189`
3×	`cbrt-unprod_binary64_1185` `*-commutative_binary64_1284` `add-log-exp_binary64_1181`
2×	`pow-exp_binary64_1140` `pow-to-exp_binary64_1141`
1×	`pow-prod-down_binary64_1143` `cube-mult_binary64_1191` `unpow3_binary64_1160`

Counts

3 → 74

Calls

3 calls:

5.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
3.0ms	(*.f64 x 1/3)

series68.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 1/45 (pow.f64 x 3))
10.0ms	(*.f64 x 1/3)

simplify74.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5197	718

prune343.0ms

Filtered

52 candidates to 83 candidates (-59.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	8	85

Merged error: 0.2b

Counts

85 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.4b	(*.f64 x (sqrt.f64 1/3))
0.4b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1201`
31×	`associate-r_binary64_1275`
21×	`add-exp-log_binary64_1180`
16×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
15×	`add-cbrt-cube_binary64_1188`
11×	`pow1_binary64_1162`
10×	`associate-l_binary64_1276` `prod-exp_binary64_1167`
9×	`unswap-sqr_binary64_1244`
8×	`unpow-prod-down_binary64_1151`
7×	`sqrt-prod_binary64_1195`
6×	`cbrt-unprod_binary64_1185`
4×	`pow-prod-down_binary64_1143` `*-commutative_binary64_1284` `add-log-exp_binary64_1181` `sqr-pow_binary64_1248` `cube-prod_binary64_1189`
2×	`pow-exp_binary64_1140` `pow-to-exp_binary64_1141`
1×	`cube-mult_binary64_1191` `unpow3_binary64_1160`

Counts

4 → 99

Calls

4 calls:

5.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 x (sqrt.f64 1/3))
13.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

series120.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 1/45 (pow.f64 x 3))
23.0ms	(*.f64 x (sqrt.f64 1/3))
43.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

simplify88.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4928	960
1	4928	960

prune685.0ms

Filtered

68 candidates to 111 candidates (-63.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	108	11	119

Merged error: 0.1b

Counts

119 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
0.4b	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-r_binary64_1275`
37×	`add-sqr-sqrt_binary64_1201`
29×	`add-exp-log_binary64_1180`
18×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
16×	`unpow-prod-down_binary64_1151` `prod-exp_binary64_1167`
15×	`add-cbrt-cube_binary64_1188`
13×	`sqrt-prod_binary64_1195`
11×	`unswap-sqr_binary64_1244`
10×	`associate-l_binary64_1276`
6×	`cbrt-unprod_binary64_1185` `pow1_binary64_1162` `sqr-pow_binary64_1248`
4×	`pow-exp_binary64_1140` `pow-to-exp_binary64_1141` `*-commutative_binary64_1284` `add-log-exp_binary64_1181` `cube-prod_binary64_1189`
1×	`pow-prod-down_binary64_1143` `cube-mult_binary64_1191` `unpow3_binary64_1160`

Counts

4 → 110

Calls

4 calls:

5.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 1/45 (pow.f64 x 3))
9.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
6.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

series173.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 2/945 (pow.f64 x 5))
23.0ms	(*.f64 1/45 (pow.f64 x 3))
38.0ms	(.f64 (.f64 x (pow.f64 (sqrt.f64 1/3) 3/2)) (sqrt.f64 (sqrt.f64 1/3)))
81.0ms	(*.f64 x (pow.f64 (sqrt.f64 1/3) 3/2))

simplify93.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5071	1234

prune440.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	126	7	133

Merged error: 0.0b

Counts

133 → 7

regimes104.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms

sample7.4s

Algorithm

intervals

Results

5.3s	3173×	body	2560	valid
1.4s	2562×	body	1280	valid
236.0ms	1221×	body	640	valid
132.0ms	8000×	pre	80	true
77.0ms	660×	body	320	valid
30.0ms	331×	body	160	valid
2.0ms	53×	body	80	valid

Details

analyze6.0ms

sample227.0ms

simplify137.0ms

prune4.0ms

localize8.0ms

rewrite20.0ms

series138.0ms

simplify95.0ms

prune156.0ms

localize14.0ms

rewrite16.0ms

series68.0ms

simplify74.0ms

prune343.0ms

localize18.0ms

rewrite33.0ms

series120.0ms

simplify88.0ms

prune685.0ms

localize24.0ms

rewrite30.0ms

series173.0ms

simplify93.0ms

prune440.0ms

regimes104.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample7.4s

Profiling