Details

analyze4.0ms (0%)

Algorithm

1×

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample204.0ms (2.1%)

Algorithm

1×

intervals

Results

169.0ms	130×	body	2048	valid
15.0ms	57×	body	1024	valid
6.0ms	40×	body	512	valid
4.0ms	256×	pre	128	true
1.0ms	15×	body	256	valid
1.0ms	2×	body	4096	valid
1.0ms	12×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune2.0ms (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: 59.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
3.1b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_1133`
36×	`times-frac_binary64_1117`
35×	`*-un-lft-identity_binary64_1111`
19×	`add-cube-cbrt_binary64_1146`
14×	`cancel-sign-sub-inv_binary64_1077`
9×	`difference-of-squares_binary64_1080`
7×	`distribute-lft-out--_binary64_1063`
6×	`div-inv_binary64_1108` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `add-log-exp_binary64_1150`
3×	`associate-/r_binary64_1055` `associate-/l_binary64_1056` `pow1_binary64_1172`
2×	`tan-quot_binary64_1270` `div-exp_binary64_1162` `associate-/r/_binary64_1057`
1×	`frac-sub_binary64_1120` `pow-flip_binary64_1185` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `diff-log_binary64_1203` `1-exp_binary64_1155` `rec-exp_binary64_1161` `cbrt-undiv_binary64_1145` `sub-neg_binary64_1104` `clear-num_binary64_1110` `inv-pow_binary64_1196` `flip--_binary64_1086`

Counts

2 → 74

Calls

2 calls:

18.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

series229.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

141.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
88.0ms	(/.f64 1 (tan.f64 x))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5180	1072

prune223.0ms (2.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	1	81

Merged error: 0.4b

Counts

81 → 1

Compiler

Compiled 3377 to 2470 computations (26.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 x 1/3)

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1133`
22×	`associate-r_binary64_1051`
16×	`add-exp-log_binary64_1149`
13×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
10×	`add-cbrt-cube_binary64_1147`
9×	`associate-l_binary64_1052` `add-log-exp_binary64_1150`
8×	`unpow-prod-down_binary64_1190` `unswap-sqr_binary64_1079`
7×	`prod-exp_binary64_1160`
6×	`pow1_binary64_1172`
4×	`cube-prod_binary64_1139` `sqr-pow_binary64_1083`
3×	`*-commutative_binary64_1042` `cbrt-unprod_binary64_1144` `sum-log_binary64_1202`
2×	`pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `flip-+_binary64_1085` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `pow-prod-down_binary64_1182` `unpow3_binary64_1177` `associate-+r+_binary64_1043`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 x 1/3)

series188.0ms (2%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(+.f64 (.f64 x 1/3) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
58.0ms	(*.f64 2/945 (pow.f64 x 5))
47.0ms	(*.f64 1/45 (pow.f64 x 3))
22.0ms	(*.f64 x 1/3)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4918	1176
1	4918	1176

prune229.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.2b

Counts

100 → 8

Compiler

Compiled 3879 to 3158 computations (18.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 1/45)
0.3b	(*.f64 x 1/3)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1133`
18×	`associate-l_binary64_1052`
16×	`add-exp-log_binary64_1149`
13×	`-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146` `associate-r*_binary64_1051`
10×	`add-cbrt-cube_binary64_1147`
8×	`unpow-prod-down_binary64_1190` `unswap-sqr_binary64_1079`
7×	`prod-exp_binary64_1160`
6×	`add-log-exp_binary64_1150` `pow1_binary64_1172`
4×	`cube-prod_binary64_1139` `sqr-pow_binary64_1083`
3×	`*-commutative_binary64_1042` `cbrt-unprod_binary64_1144`
2×	`pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `flip-+_binary64_1085` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `pow-prod-down_binary64_1182` `unpow3_binary64_1177` `sum-log_binary64_1202`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 x 3) 1/45)
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45))
4.0ms	(*.f64 x 1/3)

series264.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(+.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) 1/45))
64.0ms	(*.f64 2/945 (pow.f64 x 5))
57.0ms	(*.f64 (pow.f64 x 3) 1/45)
21.0ms	(*.f64 x 1/3)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5059	970

prune178.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.2b

Counts

105 → 8

Compiler

Compiled 3061 to 2469 computations (19.3% saved)

localize11.0ms (0.1%)

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 x (sqrt.f64 1/3))
0.4b	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_1133`
31×	`associate-r_binary64_1051`
21×	`add-exp-log_binary64_1149`
16×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
15×	`add-cbrt-cube_binary64_1147`
11×	`pow1_binary64_1172`
10×	`prod-exp_binary64_1160` `associate-l_binary64_1052`
9×	`unswap-sqr_binary64_1079`
8×	`unpow-prod-down_binary64_1190`
7×	`sqrt-prod_binary64_1127`
6×	`cbrt-unprod_binary64_1144`
4×	`*-commutative_binary64_1042` `cube-prod_binary64_1139` `pow-prod-down_binary64_1182` `add-log-exp_binary64_1150` `sqr-pow_binary64_1083`
2×	`pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`cube-mult_binary64_1141` `unpow3_binary64_1177`

Counts

4 → 99

Calls

4 calls:

8.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
6.0ms	(*.f64 x (sqrt.f64 1/3))

series230.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 1/3))
59.0ms	(*.f64 2/945 (pow.f64 x 5))
47.0ms	(*.f64 1/45 (pow.f64 x 3))
47.0ms	(*.f64 x (sqrt.f64 1/3))

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4879	954
1	4879	954

prune283.0ms (2.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	108	11	119

Merged error: 0.1b

Counts

119 → 11

Compiler

Compiled 4779 to 4003 computations (16.2% saved)

regimes30.0ms (0.3%)

Compiler: Compiled 262 to 222 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample6.9s (71.8%)

Algorithm

1×

intervals

Results

5.3s	3978×	body	2048	valid
652.0ms	2020×	body	1024	valid
145.0ms	8000×	pre	128	true
137.0ms	1019×	body	512	valid
126.0ms	213×	body	4096	valid
47.0ms	533×	body	256	valid
11.0ms	237×	body	128	valid

Compiler

Compiled 314 to 265 computations (15.6% saved)

Details

analyze4.0ms (0%)

sample204.0ms (2.1%)

simplify170.0ms (1.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite28.0ms (0.3%)

series229.0ms (2.4%)

simplify79.0ms (0.8%)

prune223.0ms (2.3%)

localize11.0ms (0.1%)

rewrite33.0ms (0.3%)

series188.0ms (2%)

simplify97.0ms (1%)

prune229.0ms (2.4%)

localize9.0ms (0.1%)

rewrite27.0ms (0.3%)

series264.0ms (2.8%)

simplify55.0ms (0.6%)

prune178.0ms (1.9%)

localize11.0ms (0.1%)

rewrite35.0ms (0.4%)

series230.0ms (2.4%)

simplify77.0ms (0.8%)

prune283.0ms (2.9%)

regimes30.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.9s (71.8%)

Profiling