Details

analyze1.1s (2%)

Algorithm

1×

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)

sample77.0ms (0.1%)

Algorithm

1×

intervals

Results

45.0ms	126×	body	1024	valid
9.0ms	41×	body	512	valid
5.0ms	7×	body	2048	valid
4.0ms	62×	body	128	valid
3.0ms	20×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify94.0ms (0.2%)

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

17.5b

Counts

2 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

5.8b	(cos.f64 (+.f64 a b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
0.1b	(*.f64 r (sin.f64 b))
0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.8b	(cos.f64 (+.f64 a b))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
9×	`add-sqr-sqrt_binary64_441`
7×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
5×	`pow1_binary64_480`
3×	`times-frac_binary64_425` `add-log-exp_binary64_458` `associate-r_binary64_359` `associate-l_binary64_360` `associate-/r*_binary64_363`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `cos-sum_binary64_553` `div-inv_binary64_416` `unswap-sqr_binary64_387` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

3 → 47

Calls

6 calls:

10.0ms	(cos.f64 (+.f64 a b))
5.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
5.0ms	(*.f64 r (sin.f64 b))
0.0ms	(*.f64 r (sin.f64 b))
0.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))

series365.0ms (0.7%)

Counts

3 → 28

Calls

3 calls:

251.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
69.0ms	(*.f64 r (sin.f64 b))
45.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 628 to 510 computations (18.8% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4948	929
1	4948	929

prune197.0ms (0.4%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	33	42	75
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	33	43	76

Error

0.2b

Counts

76 → 43

Compiler

Compiled 1320 to 608 computations (53.9% saved)

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

8 calls:

9.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
4.0ms	(*.f64 r (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series861.0ms (1.7%)

Counts

4 → 36

Calls

4 calls:

546.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
159.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
86.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
70.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1145 to 854 computations (25.4% saved)

simplify64.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5097	1927

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (*.f64 b r) (cos.f64 a))
0.1b	(/.f64 (*.f64 b r) (cos.f64 a))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
3×	`-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `pow1_binary64_480` `associate-/l*_binary64_364`

Counts

1 → 21

Calls

2 calls:

5.0ms	(/.f64 (*.f64 b r) (cos.f64 a))
0.0ms	(/.f64 (*.f64 b r) (cos.f64 a))

series171.0ms (0.3%)

Counts

1 → 9

Calls

1 calls:

171.0ms

(/.f64 (*.f64 b r) (cos.f64 a))

Compiler

Compiled 112 to 110 computations (1.8% saved)

simplify103.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4700	324
1	4700	324

localize13.0ms (0%)

Local error

Found 6 expressions with local error:

5.8b	(cos.f64 (+.f64 a b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) 1))
0.1b	(*.f64 r (sin.f64 b))
0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) 1))
5.8b	(cos.f64 (+.f64 a b))

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_457`
11×	`add-sqr-sqrt_binary64_441`
10×	`add-cbrt-cube_binary64_455`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
7×	`times-frac_binary64_425` `associate-/r*_binary64_363`
6×	`unpow-prod-down_binary64_498` `div-exp_binary64_470`
5×	`pow1_binary64_480`
4×	`prod-exp_binary64_468`
3×	`add-log-exp_binary64_458` `associate-r_binary64_359` `associate-l_binary64_360`
2×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `cos-sum_binary64_553` `div-inv_binary64_416` `unswap-sqr_binary64_387` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

3 → 59

Calls

6 calls:

6.0ms	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) 1))
4.0ms	(cos.f64 (+.f64 a b))
4.0ms	(*.f64 r (sin.f64 b))
0.0ms	(*.f64 r (sin.f64 b))
0.0ms	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) 1))

series352.0ms (0.7%)

Counts

3 → 28

Calls

3 calls:

245.0ms	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) 1))
64.0ms	(*.f64 r (sin.f64 b))
43.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 686 to 568 computations (17.2% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4931	1116
1	4931	1116

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.6b	(pow.f64 (cos.f64 (+.f64 a b)) 3)
0.5b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
0.5b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
0.6b	(pow.f64 (cos.f64 (+.f64 a b)) 3)
5.8b	(cos.f64 (+.f64 a b))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_450`
18×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
15×	`times-frac_binary64_425` `associate-/r*_binary64_363`
12×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
10×	`add-exp-log_binary64_457`
8×	`add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391`
3×	`pow-unpow_binary64_496`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `cos-sum_binary64_553` `pow1/3_binary64_501` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `frac-2neg_binary64_430` `pow-pow_binary64_491` `associate-/l*_binary64_364`

Counts

4 → 97

Calls

8 calls:

8.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
6.0ms	(cos.f64 (+.f64 a b))
3.0ms	(pow.f64 (cos.f64 (+.f64 a b)) 3)
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
0.0ms	(*.f64 r (sin.f64 b))

series511.0ms (1%)

Counts

4 → 43

Calls

4 calls:

245.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)))
177.0ms	(pow.f64 (cos.f64 (+.f64 a b)) 3)
45.0ms	(cos.f64 (+.f64 a b))
44.0ms	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))

Compiler

Compiled 1192 to 949 computations (20.4% saved)

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4975	2203
1	4975	2203

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b))))) (sqrt.f64 (cos.f64 (+.f64 a b))))
0.1b	(/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b))))
0.1b	(sqrt.f64 (cos.f64 (+.f64 a b)))
0.1b	(sqrt.f64 (cos.f64 (+.f64 a b)))
0.1b	(/.f64 (*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b))))) (sqrt.f64 (cos.f64 (+.f64 a b))))
0.2b	(*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
5.8b	(cos.f64 (+.f64 a b))
5.8b	(cos.f64 (+.f64 a b))

rewrite38.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`times-frac_binary64_425`
22×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
18×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
16×	`sqrt-prod_binary64_435`
6×	`associate-/r*_binary64_363` `pow1_binary64_480`
5×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
3×	`unswap-sqr_binary64_387` `associate-l_binary64_360`
2×	`cos-sum_binary64_553` `div-inv_binary64_416` `associate-*r/_binary64_361`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364` `associate-/l/_binary64_366`

Counts

4 → 88

Calls

8 calls:

11.0ms	(*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
10.0ms	(/.f64 (*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b))))) (sqrt.f64 (cos.f64 (+.f64 a b))))
4.0ms	(cos.f64 (+.f64 a b))
4.0ms	(cos.f64 (+.f64 a b))
0.0ms	(sqrt.f64 (cos.f64 (+.f64 a b)))

series683.0ms (1.3%)

Counts

4 → 44

Calls

4 calls:

338.0ms	(*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
250.0ms	(/.f64 (*.f64 (sin.f64 b) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b))))) (sqrt.f64 (cos.f64 (+.f64 a b))))
49.0ms	(cos.f64 (+.f64 a b))
46.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1420 to 1042 computations (26.6% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5114	2310

prune3.6s (6.9%)

Pruning

219 alts after pruning (214 fresh and 5 done)

	Pruned	Kept	Total
New	316	185	501
Fresh	8	29	37
Picked	0	0	0
Done	1	5	6
Total	325	219	544

Error

0.0b

Counts

544 → 219

Compiler

Compiled 9795 to 4261 computations (56.5% saved)

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite44.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_441`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
20×	`associate-r_binary64_359`
19×	`times-frac_binary64_425`
13×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`associate-/r/_binary64_365` `pow1_binary64_480`
7×	`sin-mult_binary64_574`
6×	`add-log-exp_binary64_458` `cos-mult_binary64_573` `associate-l_binary64_360`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r_binary64_363` `sub-div_binary64_426` `frac-sub_binary64_428` `associate-/l_binary64_364`
2×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `*-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `associate-*r/_binary64_361` `frac-2neg_binary64_430` `diff-log_binary64_511` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 100

Calls

8 calls:

15.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
9.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
6.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series1.1s (2%)

Counts

4 → 37

Calls

4 calls:

527.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
277.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
155.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
92.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 1180 to 876 computations (25.8% saved)

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5202	3191

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

9.4b	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
0.2b	(.f64 (sqrt.f64 (/.f64 (.f64 b r) (cos.f64 a))) (sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
0.1b	(/.f64 (*.f64 b r) (cos.f64 a))
0.1b	(/.f64 (*.f64 b r) (cos.f64 a))
0.1b	(/.f64 (*.f64 b r) (cos.f64 a))
0.2b	(.f64 (sqrt.f64 (/.f64 (.f64 b r) (cos.f64 a))) (sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
9.4b	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
9.4b	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`sqrt-prod_binary64_435`
38×	`add-sqr-sqrt_binary64_441`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
21×	`times-frac_binary64_425` `pow1_binary64_480`
12×	`swap-sqr_binary64_386`
11×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
10×	`pow1/2_binary64_499` `associate-r_binary64_359` `associate-l_binary64_360` `sqrt-pow1_binary64_437`
7×	`div-inv_binary64_416`
6×	`sqrt-div_binary64_436`
5×	`pow-prod-up_binary64_489`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `rem-sqrt-square_binary64_432`
3×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `associate-/r*_binary64_363`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`associate-l/_binary64_362` `clear-num_binary64_418` `sqrt-unprod_binary64_439` `rem-square-sqrt_binary64_431` `sqr-abs_binary64_434` `frac-times_binary64_429` `associate-r/_binary64_361` `pow-plus_binary64_482` `-commutative_binary64_350` `frac-2neg_binary64_430` `pow2_binary64_500` `associate-/l_binary64_364`

Counts

4 → 122

Calls

8 calls:

17.0ms	(.f64 (sqrt.f64 (/.f64 (.f64 b r) (cos.f64 a))) (sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
4.0ms	(/.f64 (*.f64 b r) (cos.f64 a))
4.0ms	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
3.0ms	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
0.0ms	(/.f64 (*.f64 b r) (cos.f64 a))

series524.0ms (1%)

Counts

4 → 36

Calls

4 calls:

156.0ms	(/.f64 (*.f64 b r) (cos.f64 a))
151.0ms	(.f64 (sqrt.f64 (/.f64 (.f64 b r) (cos.f64 a))) (sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a))))
110.0ms	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))
107.0ms	(sqrt.f64 (/.f64 (*.f64 b r) (cos.f64 a)))

Compiler

Compiled 1174 to 904 computations (23% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	1957
1	4965	1957

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

8 calls:

9.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
4.0ms	(*.f64 r (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series865.0ms (1.7%)

Counts

4 → 36

Calls

4 calls:

544.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
155.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
93.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
73.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1271 to 980 computations (22.9% saved)

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5097	1927

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
0.2b	(/.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (sin.f64 b) (cbrt.f64 r))) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
0.1b	(*.f64 (cos.f64 a) (cos.f64 b))
0.5b	(*.f64 (cbrt.f64 r) (cbrt.f64 r))
0.6b	(cbrt.f64 r)
0.6b	(cbrt.f64 r)
0.6b	(cbrt.f64 r)

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 r) (cbrt.f64 r))
1.0ms	(cbrt.f64 r)
1.0ms	(cbrt.f64 r)
1.0ms	(cbrt.f64 r)
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series318.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(*.f64 (cbrt.f64 r) (cbrt.f64 r))
81.0ms	(cbrt.f64 r)
78.0ms	(cbrt.f64 r)
72.0ms	(cbrt.f64 r)

Compiler

Compiled 610 to 454 computations (25.6% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune8.4s (16.2%)

Pruning

379 alts after pruning (370 fresh and 9 done)

	Pruned	Kept	Total
New	308	184	492
Fresh	23	186	209
Picked	0	0	0
Done	1	9	10
Total	332	379	711

Error

0.0b

Counts

711 → 379

Compiler

Compiled 15765 to 6850 computations (56.5% saved)

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

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

rewrite43.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_441`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
20×	`associate-r_binary64_359`
19×	`times-frac_binary64_425`
13×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`associate-/r/_binary64_365` `pow1_binary64_480`
7×	`sin-mult_binary64_574`
6×	`add-log-exp_binary64_458` `cos-mult_binary64_573` `associate-l_binary64_360`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `flip--_binary64_394` `associate-/r_binary64_363` `sub-div_binary64_426` `frac-sub_binary64_428` `associate-/l_binary64_364`
2×	`pow-prod-down_binary64_490` `div-inv_binary64_416` `*-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `associate-*r/_binary64_361` `frac-2neg_binary64_430` `diff-log_binary64_511` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 100

Calls

8 calls:

13.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
9.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
5.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series1.1s (2.1%)

Counts

4 → 37

Calls

4 calls:

559.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
287.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
162.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
87.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 1308 to 1004 computations (23.2% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5202	3191

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 b (/.f64 (cos.f64 a) r))
0.1b	(/.f64 (cos.f64 a) r)
0.1b	(/.f64 (cos.f64 a) r)
0.2b	(/.f64 b (/.f64 (cos.f64 a) r))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_425`
52×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
16×	`associate-/r*_binary64_363`
9×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
6×	`div-inv_binary64_416` `associate-/l*_binary64_364`
4×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`clear-num_binary64_418` `add-log-exp_binary64_458` `frac-2neg_binary64_430` `pow1_binary64_480`
1×	`associate-/r/_binary64_365`

Counts

2 → 97

Calls

4 calls:

6.0ms	(/.f64 b (/.f64 (cos.f64 a) r))
4.0ms	(/.f64 (cos.f64 a) r)
0.0ms	(/.f64 (cos.f64 a) r)
0.0ms	(/.f64 b (/.f64 (cos.f64 a) r))

series247.0ms (0.5%)

Counts

2 → 17

Calls

2 calls:

168.0ms	(/.f64 b (/.f64 (cos.f64 a) r))
79.0ms	(/.f64 (cos.f64 a) r)

Compiler

Compiled 240 to 230 computations (4.2% saved)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5311	1874

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.6b	(pow.f64 (cos.f64 (+.f64 a b)) 3)
0.5b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)) 1))
0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)) 1))
0.5b	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
0.6b	(pow.f64 (cos.f64 (+.f64 a b)) 3)
5.8b	(cos.f64 (+.f64 a b))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`unpow-prod-down_binary64_498`
36×	`cbrt-prod_binary64_450`
20×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
19×	`times-frac_binary64_425` `associate-/r*_binary64_363`
18×	`add-exp-log_binary64_457`
12×	`cube-prod_binary64_447`
10×	`add-cbrt-cube_binary64_455`
6×	`sqr-pow_binary64_391` `div-exp_binary64_470`
5×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458` `unpow3_binary64_485` `cube-mult_binary64_449`
3×	`prod-exp_binary64_468` `pow-exp_binary64_487` `pow-to-exp_binary64_488` `pow-unpow_binary64_496`
2×	`cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `cos-sum_binary64_553` `pow1/3_binary64_501` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `cbrt-unprod_binary64_452` `rem-cbrt-cube_binary64_443` `frac-2neg_binary64_430` `pow-pow_binary64_491` `associate-/l*_binary64_364`

Counts

4 → 109

Calls

8 calls:

11.0ms	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)) 1))
4.0ms	(cos.f64 (+.f64 a b))
3.0ms	(pow.f64 (cos.f64 (+.f64 a b)) 3)
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))
0.0ms	(*.f64 r (sin.f64 b))

series498.0ms (1%)

Counts

4 → 43

Calls

4 calls:

240.0ms	(/.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3)) 1))
163.0ms	(pow.f64 (cos.f64 (+.f64 a b)) 3)
52.0ms	(cos.f64 (+.f64 a b))
43.0ms	(cbrt.f64 (pow.f64 (cos.f64 (+.f64 a b)) 3))

Compiler

Compiled 1288 to 1045 computations (18.9% saved)

simplify80.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5014	2411

localize21.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3)))
0.1b	(*.f64 r (sin.f64 b))
0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
0.1b	(*.f64 (cos.f64 a) (cos.f64 b))
0.2b	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3)))
0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
0.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) 3))
0.5b	(pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) 3)

rewrite45.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_450`
22×	`add-sqr-sqrt_binary64_441`
20×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
15×	`times-frac_binary64_425` `associate-/r*_binary64_363`
12×	`unpow-prod-down_binary64_498` `cube-div_binary64_448` `cube-prod_binary64_447` `add-exp-log_binary64_457`
10×	`add-cbrt-cube_binary64_455`
8×	`cbrt-div_binary64_451`
7×	`sin-mult_binary64_574` `pow1_binary64_480`
6×	`cos-mult_binary64_573`
4×	`add-log-exp_binary64_458` `unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `associate-/r/_binary64_365`
3×	`associate-r_binary64_359` `flip3--_binary64_423` `associate-l_binary64_360` `pow-unpow_binary64_496` `flip--_binary64_394` `sub-div_binary64_426` `frac-sub_binary64_428`
2×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `pow1/3_binary64_501` `div-inv_binary64_416` `rem-cube-cbrt_binary64_442` `unswap-sqr_binary64_387` `pow-exp_binary64_487` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `-commutative_binary64_350` `frac-2neg_binary64_430` `pow-pow_binary64_491` `associate-/l_binary64_364`

Counts

4 → 120

Calls

8 calls:

14.0ms	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3)))
7.0ms	(pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) 3)
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) 3))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series1.1s (2.1%)

Counts

4 → 41

Calls

4 calls:

546.0ms	(/.f64 (.f64 r (sin.f64 b)) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3)))
326.0ms	(pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) 3)
156.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))) 3))
82.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 1456 to 1093 computations (24.9% saved)

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4982	4305
1	4982	4305

localize22.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (sin.f64 b) r)
0.1b	(*.f64 (sin.f64 b) r)
0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
0.1b	(*.f64 (cos.f64 a) (cos.f64 b))
0.4b	(.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (*.f64 (sin.f64 b) r)))
7.1b	(cbrt.f64 (*.f64 (sin.f64 b) r))
7.1b	(cbrt.f64 (*.f64 (sin.f64 b) r))
7.1b	(cbrt.f64 (*.f64 (sin.f64 b) r))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_480`
10×	`add-sqr-sqrt_binary64_441`
9×	`pow1/3_binary64_501`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
7×	`cbrt-prod_binary64_450`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 58

Calls

8 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (*.f64 (sin.f64 b) r)))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 b) r))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 b) r))
3.0ms	(cbrt.f64 (*.f64 (sin.f64 b) r))
0.0ms	(*.f64 (cos.f64 a) (cos.f64 b))

series968.0ms (1.9%)

Counts

4 → 27

Calls

4 calls:

304.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 b) r)) (cbrt.f64 (*.f64 (sin.f64 b) r)))
225.0ms	(cbrt.f64 (*.f64 (sin.f64 b) r))
221.0ms	(cbrt.f64 (*.f64 (sin.f64 b) r))
218.0ms	(cbrt.f64 (*.f64 (sin.f64 b) r))

Compiler

Compiled 1814 to 1203 computations (33.7% saved)

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4936	854
1	4936	854

prune16.2s (31.1%)

Pruning

602 alts after pruning (588 fresh and 14 done)

	Pruned	Kept	Total
New	390	259	649
Fresh	36	329	365
Picked	0	0	0
Done	0	14	14
Total	426	602	1028

Error

0.0b

Counts

1028 → 602

Compiler

Compiled 10025 to 2609 computations (74% saved)

simplify494.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5158	34892

regimes3.9s (7.4%)

Compiler: Compiled 38589 to 24321 computations (37% saved)

bsearch0.0ms (0%)

regimes678.0ms (1.3%)

Compiler: Compiled 5460 to 4383 computations (19.7% saved)

bsearch0.0ms (0%)

regimes636.0ms (1.2%)

Compiler: Compiled 5124 to 4161 computations (18.8% saved)

bsearch0.0ms (0%)

regimes381.0ms (0.7%)

Compiler: Compiled 2652 to 2328 computations (12.2% saved)

bsearch0.0ms (0%)

regimes115.0ms (0.2%)

Compiler: Compiled 567 to 585 computations (-3.2% saved)

bsearch0.0ms (0%)

regimes212.0ms (0.4%)

Compiler: Compiled 513 to 537 computations (-4.7% saved)

bsearch73.0ms (0.1%)

Steps

Iters	Range		Point
7	6064153164.14198	478648093640.61707	6170342723.028669
11	-543234780.3659335	-3.44962995308756e-17	-1.4900711756188913e-06

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes202.0ms (0.4%)

Compiler: Compiled 492 to 516 computations (-4.9% saved)

bsearch76.0ms (0.1%)

Steps

Iters	Range		Point
7	6064153164.14198	478648093640.61707	6170342723.028669
11	-543234780.3659335	-3.44962995308756e-17	-0.00016507842525845492

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes174.0ms (0.3%)

Compiler: Compiled 471 to 495 computations (-5.1% saved)

bsearch81.0ms (0.2%)

Steps

Iters	Range		Point
10	9.372769927223102e-12	2339.789316805982	6.033058917648657e-05
8	-39330441999012.45	-69567563736.79105	-70789682870.41708

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes164.0ms (0.3%)

Compiler: Compiled 450 to 474 computations (-5.3% saved)

bsearch82.0ms (0.2%)

Steps

Iters	Range		Point
10	9.372769927223102e-12	2339.789316805982	0.00011667278309408788
8	-39330441999012.45	-69567563736.79105	-70789682870.41708

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes88.0ms (0.2%)

Compiler: Compiled 429 to 453 computations (-5.6% saved)

bsearch0.0ms (0%)

regimes47.0ms (0.1%)

Compiler: Compiled 150 to 189 computations (-26% saved)

bsearch0.0ms (0%)

regimes44.0ms (0.1%)

Compiler: Compiled 132 to 171 computations (-29.5% saved)

bsearch0.0ms (0%)

regimes34.0ms (0.1%)

Compiler: Compiled 78 to 117 computations (-50% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.1%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch13.0ms (0%)

Compiler: Compiled 202 to 148 computations (26.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	286
1	104	286

end0.0ms (0%)

sample3.5s (6.7%)

Algorithm

1×

intervals

Results

1.3s	3477×	body	1024	valid
302.0ms	1399×	body	512	valid
183.0ms	2335×	body	128	valid
129.0ms	219×	body	2048	valid
90.0ms	570×	body	256	valid
1.0ms	3×	body	1024	invalid

Compiler

Compiled 13239 to 8415 computations (36.4% saved)