Details

analyze1.8s (17%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	22
1	50	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	3
37.5%	62.5%	0%	4
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50.1%	0%	11
49.9%	50%	0%	12
49.9%	50%	0%	12
50%	50%	0%	13
50%	50%	0%	13
50%	49.9%	0%	14
50%	49.9%	0%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample312.0ms (3%)

Algorithm

2×

intervals

Results

64.0ms	137×	body	1024	valid
28.0ms	284×	body	128	valid
17.0ms	58×	body	512	valid
6.0ms	33×	body	256	valid

Compiler

Compiled 4402 to 4142 computations (5.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	22
1	50	22

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.2b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
15.1b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

rewrite126.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
10×	`pow1_binary64_17189` `add-sqr-sqrt_binary64_17150`
8×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
7×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
6×	`associate-l_binary64_17069`
4×	`pow-prod-down_binary64_17199` `associate-r_binary64_17068`
3×	`div-exp_binary64_17179` `add-log-exp_binary64_17167` `cbrt-undiv_binary64_17162` `times-frac_binary64_17134` `associate-/r*_binary64_17072`
2×	`*-commutative_binary64_17059`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-/l*_binary64_17073` `unswap-sqr_binary64_17096`

Counts

3 → 59

Calls

3 calls:

8.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
7.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
4.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1330 to 993 computations (25.3% saved)

series229.0ms (2.2%)

Error

0.3b

Counts

3 → 18

Calls

3 calls:

105.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
61.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
42.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 608 to 494 computations (18.8% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4910	1219
1	4910	1219

prune127.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	61	16	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	16	78

Error

0.1b

Counts

78 → 16

Compiler

Compiled 1590 to 1212 computations (23.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
0.3b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
0.4b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

rewrite125.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
14×	`add-sqr-sqrt_binary64_17150`
10×	`add-cube-cbrt_binary64_17163` `-un-lft-identity_binary64_17128` `associate-r*_binary64_17068`
7×	`pow1_binary64_17189`
6×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-l_binary64_17069` `times-frac_binary64_17134`
4×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
3×	`add-log-exp_binary64_17167` `associate-/r*_binary64_17072`
2×	`pow-prod-down_binary64_17199` `unswap-sqr_binary64_17096` `*-commutative_binary64_17059` `div-inv_binary64_17125`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l_binary64_17073` `associate-r/_binary64_17070`

Counts

3 → 66

Calls

3 calls:

9.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
5.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1482 to 1080 computations (27.1% saved)

series266.0ms (2.5%)

Error

0.1b

Counts

3 → 18

Calls

3 calls:

117.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
81.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
49.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 610 to 502 computations (17.7% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4908	1385
1	4908	1385

prune129.0ms (1.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	6	9	15
Picked	0	1	1
Done	0	0	0
Total	85	15	100

Error

0.0b

Counts

100 → 15

Compiler

Compiled 1767 to 1328 computations (24.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
0.3b	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
0.3b	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))

rewrite226.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
20×	`add-sqr-sqrt_binary64_17150`
14×	`prod-exp_binary64_17177` `add-cube-cbrt_binary64_17163` `cbrt-unprod_binary64_17161` `-un-lft-identity_binary64_17128` `associate-r*_binary64_17068`
13×	`pow1_binary64_17189`
12×	`associate-l_binary64_17069`
7×	`sqrt-prod_binary64_17144`
6×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `times-frac_binary64_17134`
5×	`pow-prod-down_binary64_17199`
4×	`add-log-exp_binary64_17167`
3×	`associate-/r_binary64_17072` `unswap-sqr_binary64_17096` `-commutative_binary64_17059`
2×	`div-inv_binary64_17125`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l_binary64_17073` `associate-r/_binary64_17070`

Counts

4 → 95

Calls

4 calls:

11.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
9.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
9.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

Compiler

Compiled 2640 to 2092 computations (20.8% saved)

series545.0ms (5.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

188.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
165.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
92.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
60.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

Compiler

Compiled 1316 to 1156 computations (12.2% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5010	1959

prune184.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	5	8	13
Picked	1	0	1
Done	0	1	1
Total	122	12	134

Error

Counts

134 → 12

Compiler

Compiled 2565 to 1991 computations (22.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)))
0.8b	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3))
0.8b	(pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)

rewrite219.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_17150`
24×	`associate-r_binary64_17068`
18×	`cbrt-prod_binary64_17159`
17×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128` `add-exp-log_binary64_17166`
16×	`add-cbrt-cube_binary64_17164`
11×	`pow1_binary64_17189`
10×	`times-frac_binary64_17134`
6×	`associate-l_binary64_17069`
5×	`prod-exp_binary64_17177` `associate-*r/_binary64_17070` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096`
4×	`add-log-exp_binary64_17167` `sqr-pow_binary64_17100`
3×	`unpow-prod-down_binary64_17207` `pow-unpow_binary64_17205` `pow-prod-down_binary64_17199` `pow-exp_binary64_17196` `unpow3_binary64_17194` `cube-mult_binary64_17158` `cube-div_binary64_17157` `cube-prod_binary64_17156` `rem-cube-cbrt_binary64_17151`
2×	`pow-pow_binary64_17200` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `cbrt-div_binary64_17160` `*-commutative_binary64_17059`
1×	`pow-to-exp_binary64_17197` `pow1/3_binary64_17210` `rem-cbrt-cube_binary64_17152` `div-inv_binary64_17125`

Counts

4 → 104

Calls

4 calls:

8.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)))
8.0ms	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))
6.0ms	(pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)
2.0ms	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3))

Compiler

Compiled 2839 to 2179 computations (23.2% saved)

series522.0ms (5%)

Error

Counts

4 → 24

Calls

4 calls:

147.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)))
144.0ms	(pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3)
111.0ms	(cbrt.f64 (pow.f64 (.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x))) 3))
89.0ms	(.f64 8/3 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)))

Compiler

Compiled 986 to 866 computations (12.2% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5383	2447

prune200.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	128	12	140

Error

Counts

140 → 12

Compiler

Compiled 2819 to 2152 computations (23.7% saved)

regimes531.0ms (5.1%)

Accuracy

Total 0.5b remaining (99.9%)

Threshold costs 0.5b (99.9%)

Compiler

Compiled 4980 to 4226 computations (15.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	22
1	15	22

end0.0ms (0%)

sample4.6s (44%)

Algorithm

1×

intervals

Results

835.0ms	1973×	body	1024	valid
474.0ms	4530×	body	128	valid
302.0ms	996×	body	512	valid
97.0ms	492×	body	256	valid
7.0ms	9×	body	2048	valid

Compiler

Compiled 2520 to 2140 computations (15.1% saved)

Details

analyze1.8s (17%)

sample312.0ms (3%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite126.0ms (1.2%)

series229.0ms (2.2%)

simplify56.0ms (0.5%)

prune127.0ms (1.2%)

localize8.0ms (0.1%)

rewrite125.0ms (1.2%)

series266.0ms (2.5%)

simplify77.0ms (0.7%)

prune129.0ms (1.2%)

localize10.0ms (0.1%)

rewrite226.0ms (2.2%)

series545.0ms (5.2%)

simplify61.0ms (0.6%)

prune184.0ms (1.8%)

localize11.0ms (0.1%)

rewrite219.0ms (2.1%)

series522.0ms (5%)

simplify73.0ms (0.7%)

prune200.0ms (1.9%)

regimes531.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.6s (44%)

Profiling