Details

analyze1.1s (10%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample71.0ms (0.6%)

Algorithm

1×

intervals

Results

30.0ms	106×	body	1024	valid
12.0ms	9×	body	2048	valid
8.0ms	43×	body	512	valid
5.0ms	80×	body	128	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
2.9b	(cos.f64 (+.f64 a b))

rewrite196.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
9×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
5×	`pow1_binary64_480`
3×	`add-log-exp_binary64_458` `times-frac_binary64_425` `associate-/r_binary64_363` `associate-l_binary64_360` `associate-r*_binary64_359`
2×	`prod-exp_binary64_468` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `cbrt-unprod_binary64_452`
1×	`cos-sum_binary64_553` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l_binary64_364` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `-commutative_binary64_350`

Counts

3 → 47

Calls

3 calls:

5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms	(*.f64 r (sin.f64 b))
4.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 725 to 158 computations (78.2% saved)

series431.0ms (3.8%)

Error

13.4b

Counts

3 → 32

Calls

3 calls:

294.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
66.0ms	(*.f64 r (sin.f64 b))
43.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1307 to 792 computations (39.4% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4954	1240
1	4954	1240

prune83.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	69	10	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Error

0.2b

Counts

80 → 10

Compiler

Compiled 1328 to 403 computations (69.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite114.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_441`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
10×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`pow1_binary64_480`
6×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
5×	`sin-mult_binary64_574`
4×	`cos-mult_binary64_573` `associate-/r/_binary64_365`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `times-frac_binary64_425` `associate-/r*_binary64_363`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `flip--_binary64_394` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 76

Calls

4 calls:

9.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
4.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1946 to 307 computations (84.2% saved)

series922.0ms (8.1%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

571.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
163.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
92.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
64.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 2209 to 1224 computations (44.6% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4974	2299
1	4974	2299

prune128.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	117	11	128

Error

0.0b

Counts

128 → 11

Compiler

Compiled 2799 to 666 computations (76.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
0.1b	(*.f64 (cos.f64 b) (cos.f64 a))
0.2b	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
0.3b	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))

rewrite119.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_441`
29×	`*-un-lft-identity_binary64_419`
19×	`add-cube-cbrt_binary64_454`
18×	`times-frac_binary64_425`
13×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`associate-/r*_binary64_363`
6×	`pow1_binary64_480` `add-log-exp_binary64_458`
5×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
4×	`associate-/l*_binary64_364`
3×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-l_binary64_360` `associate-r_binary64_359` `cancel-sign-sub-inv_binary64_385`
2×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `flip3--_binary64_423` `associate-/r/_binary64_365` `flip--_binary64_394` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cos-mult_binary64_573`
1×	`associate-/l/_binary64_366` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 94

Calls

4 calls:

8.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
7.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
5.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
4.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2167 to 410 computations (81.1% saved)

series954.0ms (8.4%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

513.0ms	(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
168.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
151.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))
90.0ms	(*.f64 (cos.f64 b) (cos.f64 a))

Compiler

Compiled 2082 to 1238 computations (40.5% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5024	3192

prune126.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Error

0.0b

Counts

150 → 11

Compiler

Compiled 3082 to 751 computations (75.6% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
0.3b	(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)
0.4b	(.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
0.5b	(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3)

rewrite233.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

88×	`pow1_binary64_480`
36×	`pow-prod-down_binary64_490`
34×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
18×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
8×	`pow-prod-up_binary64_489` `pow-sqr_binary64_392`
6×	`add-cube-cbrt_binary64_454` `pow-unpow_binary64_496` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
5×	`cos-mult_binary64_573` `sin-mult_binary64_574`
4×	`pow-pow_binary64_491` `pow-exp_binary64_487` `add-log-exp_binary64_458` `rem-cube-cbrt_binary64_442` `pow-plus_binary64_482`
2×	`unpow-prod-down_binary64_498` `pow-to-exp_binary64_488` `unpow3_binary64_485` `cube-mult_binary64_449` `cube-div_binary64_448` `cube-prod_binary64_447` `sqr-pow_binary64_391` `pow2_binary64_500` `frac-times_binary64_429` `swap-sqr_binary64_386` `associate-l/_binary64_362` `associate-r/_binary64_361` `associate-l_binary64_360` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

4 → 120

Calls

4 calls:

9.0ms	(.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))
8.0ms	(.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
5.0ms	(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)
4.0ms	(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3)

Compiler

Compiled 7400 to 1303 computations (82.4% saved)

series786.0ms (6.9%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

207.0ms	(pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) 3)
194.0ms	(pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) 3)
167.0ms	(.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
151.0ms	(.f64 (.f64 (sin.f64 b) (sin.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))

Compiler

Compiled 5991 to 2367 computations (60.5% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4951	1921
1	4951	1921

prune241.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	159	11	170

Error

0.0b

Counts

170 → 11

Compiler

Compiled 9119 to 1797 computations (80.3% saved)

regimes1.0s (9%)

Accuracy

Total 0.3b remaining (95.1%)

Threshold costs 0.3b (95.1%)

Compiler

Compiled 12726 to 7542 computations (40.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	26
1	42	26

end0.0ms (0%)

sample4.5s (39.3%)

Algorithm

1×

intervals

Results

1.0s	3528×	body	1024	valid
304.0ms	1372×	body	512	valid
162.0ms	2318×	body	128	valid
115.0ms	190×	body	2048	valid
85.0ms	592×	body	256	valid

Compiler

Compiled 3174 to 1887 computations (40.5% saved)

Details

analyze1.1s (10%)

sample71.0ms (0.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite196.0ms (1.7%)

series431.0ms (3.8%)

simplify85.0ms (0.7%)

prune83.0ms (0.7%)

localize13.0ms (0.1%)

rewrite114.0ms (1%)

series922.0ms (8.1%)

simplify50.0ms (0.4%)

prune128.0ms (1.1%)

localize11.0ms (0.1%)

rewrite119.0ms (1%)

series954.0ms (8.4%)

simplify56.0ms (0.5%)

prune126.0ms (1.1%)

localize24.0ms (0.2%)

rewrite233.0ms (2%)

series786.0ms (6.9%)

simplify85.0ms (0.7%)

prune241.0ms (2.1%)

regimes1.0s (9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.5s (39.3%)

Profiling