Details

analyze505.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample113.0ms (0.1%)

Algorithm

1×

intervals

Results

60.0ms	64×	body	2048	valid
26.0ms	92×	body	1024	valid
9.0ms	54×	body	512	valid
2.0ms	21×	body	256	valid
2.0ms	2×	body	4096	valid
2.0ms	23×	body	128	valid

Compiler

Compiled 18 to 18 computations (0% saved)

simplify108.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	172	9
1	172	9

prune4.0ms (0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Kept	Total
New	4	4
Fresh	4	4
Picked	0	0
Done	0	0
Total	8	8

Error

Counts

8 → 5

Compiler

Compiled 7 to 7 computations (0% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 1 (cos.f64 x))
0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.2b	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
2.0b	(-.f64 1 (cos.f64 x))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
18×	`times-frac_binary64_766`
14×	`add-cube-cbrt_binary64_795`
10×	`difference-of-squares_binary64_729`
6×	`associate-/l*_binary64_705`
5×	`distribute-lft-out--_binary64_712`
4×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`cancel-sign-sub-inv_binary64_726` `associate-/r*_binary64_704`
2×	`associate-/l/_binary64_707` `pow1_binary64_821` `flip--_binary64_735` `flip3--_binary64_764`
1×	`hang-p0-tan_binary64_883` `diff-log_binary64_852` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-sub_binary64_765` `div-exp_binary64_811` `clear-num_binary64_759` `sub-neg_binary64_753`

Counts

2 → 60

Calls

4 calls:

7.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
5.0ms	(-.f64 1 (cos.f64 x))
0.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms	(-.f64 1 (cos.f64 x))

series66.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

44.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
22.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 172 to 148 computations (14% saved)

simplify67.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5584	1107

localize4.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune290.0ms (0.2%)

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	25	47	72
Fresh	0	3	3
Picked	0	0	0
Done	0	2	2
Total	25	52	77

Error

Counts

77 → 52

Compiler

Compiled 1391 to 910 computations (34.6% saved)

localize5.0ms (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

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

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

20.7b	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
0.4b	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
0.4b	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
20.7b	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))

rewrite11.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_791`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
3×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `unpow3_binary64_826` `add-log-exp_binary64_799` `tan-quot_binary64_919` `cube-div_binary64_789` `sqr-pow_binary64_732`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow-to-exp_binary64_829` `cbrt-div_binary64_792` `pow-pow_binary64_832`

Counts

2 → 46

Calls

4 calls:

4.0ms	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
4.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
0.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
0.0ms	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))

series140.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

91.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
49.0ms	(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))

Compiler

Compiled 200 to 180 computations (10% saved)

simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4879	746
1	4879	746

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 1/24 (pow.f64 x 4))
0.0b	(*.f64 1/40320 (pow.f64 x 8))
0.0b	(.f64 1/2 (.f64 x x))
0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
0.1b	(*.f64 1/24 (pow.f64 x 4))
0.3b	(*.f64 1/720 (pow.f64 x 6))
14.3b	(/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))) (sin.f64 x))
24.9b	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))

rewrite60.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_782`
31×	`*-un-lft-identity_binary64_760`
21×	`add-cube-cbrt_binary64_795`
16×	`add-exp-log_binary64_798` `add-log-exp_binary64_799`
15×	`times-frac_binary64_766`
14×	`associate-r_binary64_700`
10×	`add-cbrt-cube_binary64_796`
8×	`flip3-+_binary64_763` `flip-+_binary64_734` `frac-sub_binary64_769` `unpow-prod-down_binary64_839`
6×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `associate-/l/_binary64_707` `associate-l_binary64_701`
5×	`difference-of-squares_binary64_729` `associate-/l*_binary64_705` `distribute-lft-out--_binary64_712`
4×	`diff-log_binary64_852` `sum-log_binary64_851` `sqr-pow_binary64_732` `pow1_binary64_821`
3×	`cancel-sign-sub-inv_binary64_726` `associate-/r*_binary64_704`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-sub_binary64_765` `associate--r+_binary64_696` `div-exp_binary64_811` `associate--l+_binary64_697` `clear-num_binary64_759` `sub-neg_binary64_753`

Counts

4 → 117

Calls

8 calls:

19.0ms	(/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))) (sin.f64 x))
14.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))
6.0ms	(*.f64 1/720 (pow.f64 x 6))
6.0ms	(*.f64 1/24 (pow.f64 x 4))
0.0ms	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))

series214.0ms (0.2%)

Counts

4 → 22

Calls

4 calls:

83.0ms	(/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))) (sin.f64 x))
58.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))
39.0ms	(*.f64 1/720 (pow.f64 x 6))
32.0ms	(*.f64 1/24 (pow.f64 x 4))

Compiler

Compiled 614 to 502 computations (18.2% saved)

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5170	4566

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.5b	(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
0.3b	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
0.5b	(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
7×	`cbrt-div_binary64_792` `tan-quot_binary64_919`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `associate-l/_binary64_703` `prod-exp_binary64_809` `pow-plus_binary64_823` `frac-times_binary64_770` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 79

Calls

8 calls:

10.0ms	(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
3.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
3.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
2.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.0ms	(.f64 (.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))

series655.0ms (0.5%)

Counts

4 → 24

Calls

4 calls:

201.0ms	(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
156.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
151.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
146.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))

Compiler

Compiled 1036 to 892 computations (13.9% saved)

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5109	1575

prune4.6s (3.7%)

Pruning

180 alts after pruning (174 fresh and 6 done)

	Pruned	Kept	Total
New	166	134	300
Fresh	5	40	45
Picked	0	0	0
Done	1	6	7
Total	172	180	352

Error

Counts

352 → 180

Compiler

Compiled 11358 to 8869 computations (21.9% saved)

localize6.0ms (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

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

14.3b	(/.f64 (.f64 1/2 (.f64 x x)) (sin.f64 x))
0.0b	(.f64 1/2 (.f64 x x))
0.0b	(.f64 1/2 (.f64 x x))
14.3b	(/.f64 (.f64 1/2 (.f64 x x)) (sin.f64 x))

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`pow1_binary64_821`
6×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `add-sqr-sqrt_binary64_782`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
3×	`cbrt-undiv_binary64_794` `associate-/r_binary64_704` `associate-l*_binary64_701` `div-exp_binary64_811` `pow-prod-down_binary64_831` `times-frac_binary64_766`
2×	`add-log-exp_binary64_799`
1×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `div-inv_binary64_757` `associate-/l_binary64_705` `associate-r_binary64_700` `clear-num_binary64_759` `-commutative_binary64_691`

Counts

2 → 42

Calls

4 calls:

7.0ms	(/.f64 (.f64 1/2 (.f64 x x)) (sin.f64 x))
6.0ms	(.f64 1/2 (.f64 x x))
0.0ms	(.f64 1/2 (.f64 x x))
0.0ms	(/.f64 (.f64 1/2 (.f64 x x)) (sin.f64 x))

series81.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

56.0ms	(/.f64 (.f64 1/2 (.f64 x x)) (sin.f64 x))
25.0ms	(.f64 1/2 (.f64 x x))

Compiler

Compiled 128 to 112 computations (12.5% saved)

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4918	579
1	4918	579

localize9.0ms (0%)

Local error

Found 8 expressions with local error:

3.7b	(log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
0.5b	(exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
0.4b	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
0.3b	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
0.3b	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
0.4b	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
0.5b	(exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
3.7b	(log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`exp-prod_binary64_812`
26×	`log-pow_binary64_849`
18×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
16×	`cbrt-prod_binary64_791`
12×	`cube-prod_binary64_788` `unpow-prod-down_binary64_839`
7×	`pow1_binary64_821`
5×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
4×	`cube-mult_binary64_790` `unpow3_binary64_826` `sqr-pow_binary64_732`
3×	`pow-unpow_binary64_837` `log-prod_binary64_846`
1×	`pow1/3_binary64_842` `pow-exp_binary64_828` `rem-exp-log_binary64_800` `rem-cube-cbrt_binary64_783` `pow-to-exp_binary64_829` `tan-quot_binary64_919` `cube-div_binary64_789` `rem-log-exp_binary64_801` `pow-pow_binary64_832`

Counts

4 → 92

Calls

8 calls:

5.0ms	(exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
4.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)
4.0ms	(log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
4.0ms	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
0.0ms	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))

series736.0ms (0.6%)

Counts

4 → 24

Calls

4 calls:

362.0ms	(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))
207.0ms	(log.f64 (exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3)))
87.0ms	(exp.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
80.0ms	(pow.f64 (tan.f64 (/.f64 x 2)) 3)

Compiler

Compiled 578 to 530 computations (8.3% saved)

simplify63.0ms (0%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5192	1484

localize21.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 1/720 (pow.f64 x 4))
0.0b	(*.f64 1/40320 (pow.f64 x 8))
0.0b	(.f64 1/2 (.f64 x x))
0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
0.1b	(*.f64 1/24 (pow.f64 x 4))
14.3b	(/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 1/720 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 6)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))) (sin.f64 x))
20.2b	(cbrt.f64 (pow.f64 x 6))
24.9b	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 1/720 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 6)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))

rewrite60.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_782`
30×	`*-un-lft-identity_binary64_760`
20×	`add-cube-cbrt_binary64_795`
16×	`add-log-exp_binary64_799`
15×	`times-frac_binary64_766`
11×	`add-exp-log_binary64_798`
8×	`flip3-+_binary64_763` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `frac-sub_binary64_769`
7×	`associate-r_binary64_700` `cbrt-prod_binary64_791` `unpow-prod-down_binary64_839`
6×	`associate-/l/_binary64_707`
5×	`difference-of-squares_binary64_729` `associate-/l*_binary64_705` `distribute-lft-out--_binary64_712`
4×	`diff-log_binary64_852` `sum-log_binary64_851` `pow1_binary64_821`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `cancel-sign-sub-inv_binary64_726` `associate-/r_binary64_704` `associate-l*_binary64_701` `sqr-pow_binary64_732`
2×	`flip--_binary64_735` `flip3--_binary64_764`
1×	`pow1/3_binary64_842` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `pow-exp_binary64_828` `div-inv_binary64_757` `pow-to-exp_binary64_829` `div-sub_binary64_765` `associate--r+_binary64_696` `cbrt-unprod_binary64_793` `div-exp_binary64_811` `associate--l+_binary64_697` `clear-num_binary64_759` `sub-neg_binary64_753` `*-commutative_binary64_691`

Counts

4 → 107

Calls

8 calls:

17.0ms	(/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 1/720 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 6)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))) (sin.f64 x))
15.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 1/720 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 6)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))
6.0ms	(*.f64 1/24 (pow.f64 x 4))
2.0ms	(cbrt.f64 (pow.f64 x 6))
0.0ms	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))

series205.0ms (0.2%)

Counts

4 → 22

Calls

4 calls:

79.0ms	(/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 1/720 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 6)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))) (sin.f64 x))
61.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 1/720 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 6)))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))
39.0ms	(*.f64 1/24 (pow.f64 x 4))
26.0ms	(cbrt.f64 (pow.f64 x 6))

Compiler

Compiled 668 to 544 computations (18.6% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5154	4458

localize24.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))
0.0b	(.f64 1/2 (.f64 x x))
0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
14.2b	(sqrt.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))))
14.2b	(sqrt.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))))
24.9b	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))
24.9b	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))

rewrite81.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-log-exp_binary64_799`
18×	`add-sqr-sqrt_binary64_782`
16×	`*-un-lft-identity_binary64_760` `flip3-+_binary64_763` `flip-+_binary64_734` `frac-sub_binary64_769`
12×	`sqrt-div_binary64_777`
10×	`sqrt-prod_binary64_776`
8×	`diff-log_binary64_852` `add-cube-cbrt_binary64_795` `sum-log_binary64_851`
6×	`cancel-sign-sub-inv_binary64_726` `pow1_binary64_821`
4×	`add-exp-log_binary64_798` `difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712` `flip--_binary64_735` `flip3--_binary64_764`
2×	`rem-sqrt-square_binary64_773` `sqrt-pow1_binary64_778` `associate--r+_binary64_696` `pow1/2_binary64_840` `associate--l+_binary64_697` `sub-neg_binary64_753`

Counts

4 → 92

Calls

8 calls:

18.0ms	(sqrt.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))))
15.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))
14.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))
14.0ms	(sqrt.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))))
0.0ms	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))

series283.0ms (0.2%)

Counts

4 → 28

Calls

4 calls:

73.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))
71.0ms	(sqrt.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))))
69.0ms	(sqrt.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8)))))
69.0ms	(-.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/40320 (pow.f64 x 8))))

Compiler

Compiled 1584 to 1320 computations (16.7% saved)

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4955	6116
1	4955	6116

prune13.2s (10.5%)

Pruning

317 alts after pruning (306 fresh and 11 done)

	Pruned	Kept	Total
New	253	162	415
Fresh	25	144	169
Picked	0	0	0
Done	0	11	11
Total	278	317	595

Error

Counts

595 → 317

Compiler

Compiled 23403 to 18121 computations (22.6% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))
0.1b	(/.f64 1 (tan.f64 (/.f64 x 2)))
0.1b	(/.f64 1 (tan.f64 (/.f64 x 2)))
0.2b	(/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_766`
53×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
25×	`add-exp-log_binary64_798`
17×	`associate-/r*_binary64_704`
16×	`div-exp_binary64_811`
9×	`add-cbrt-cube_binary64_796`
8×	`rec-exp_binary64_810` `1-exp_binary64_804`
6×	`associate-/r/_binary64_706` `div-inv_binary64_757` `associate-/l*_binary64_705`
5×	`tan-quot_binary64_919` `pow1_binary64_821` `pow-flip_binary64_834`
4×	`cbrt-undiv_binary64_794`
3×	`inv-pow_binary64_845`
2×	`frac-2neg_binary64_771` `add-log-exp_binary64_799` `clear-num_binary64_759`
1×	`remove-double-div_binary64_736`

Counts

2 → 121

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))
4.0ms	(/.f64 1 (tan.f64 (/.f64 x 2)))
0.0ms	(/.f64 1 (tan.f64 (/.f64 x 2)))
0.0ms	(/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))

series113.0ms (0.1%)

Counts

2 → 12

Calls

2 calls:

68.0ms	(/.f64 1 (tan.f64 (/.f64 x 2)))
45.0ms	(/.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))

Compiler

Compiled 184 to 164 computations (10.9% saved)

simplify145.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4625	1896
1	4625	1896

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/24 (pow.f64 x 3))
0.0b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
0.0b	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
0.1b	(*.f64 1/24 (pow.f64 x 3))

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_782`
12×	`associate-r_binary64_700`
7×	`add-exp-log_binary64_798`
6×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
3×	`prod-exp_binary64_809` `associate-l_binary64_701`
2×	`sqr-pow_binary64_732` `pow1_binary64_821`
1×	`cube-mult_binary64_790` `flip3-+_binary64_763` `unpow3_binary64_826` `pow-exp_binary64_828` `flip-+_binary64_734` `pow-to-exp_binary64_829` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

2 → 42

Calls

4 calls:

7.0ms	(*.f64 1/24 (pow.f64 x 3))
4.0ms	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
0.0ms	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
0.0ms	(*.f64 1/24 (pow.f64 x 3))

series103.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

73.0ms	(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
30.0ms	(*.f64 1/24 (pow.f64 x 3))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify54.0ms (0%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4991	570
1	4991	570

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
0.1b	(/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
0.0b	(sqrt.f64 (sin.f64 x))
0.0b	(sqrt.f64 (sin.f64 x))
0.1b	(/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
0.1b	(/.f64 1 (sqrt.f64 (sin.f64 x)))
2.0b	(-.f64 1 (cos.f64 x))

rewrite76.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

161×	`add-sqr-sqrt_binary64_782`
130×	`times-frac_binary64_766`
121×	`*-un-lft-identity_binary64_760`
73×	`add-cube-cbrt_binary64_795`
71×	`sqrt-prod_binary64_776`
40×	`associate-r_binary64_700`
32×	`add-exp-log_binary64_798`
28×	`difference-of-squares_binary64_729`
22×	`associate-l_binary64_701`
20×	`add-cbrt-cube_binary64_796`
15×	`unswap-sqr_binary64_728`
14×	`distribute-lft-out--_binary64_712`
12×	`associate-/r*_binary64_704`
11×	`div-exp_binary64_811`
9×	`associate-/l*_binary64_705`
8×	`prod-exp_binary64_809` `pow1_binary64_821`
6×	`cbrt-undiv_binary64_794` `add-log-exp_binary64_799`
4×	`div-inv_binary64_757` `cbrt-unprod_binary64_793`
3×	`cancel-sign-sub-inv_binary64_726` `rec-exp_binary64_810` `1-exp_binary64_804` `pow-flip_binary64_834`
2×	`frac-2neg_binary64_771` `associate-/l/_binary64_707` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`
1×	`diff-log_binary64_852` `associate-l/_binary64_703` `sqrt-pow1_binary64_778` `inv-pow_binary64_845` `frac-times_binary64_770` `div-sub_binary64_765` `associate-r/_binary64_702` `pow1/2_binary64_840` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 226

Calls

8 calls:

31.0ms	(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
8.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
5.0ms	(/.f64 1 (sqrt.f64 (sin.f64 x)))
4.0ms	(-.f64 1 (cos.f64 x))
0.0ms	(sqrt.f64 (sin.f64 x))

series157.0ms (0.1%)

Counts

4 → 18

Calls

4 calls:

61.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))
45.0ms	(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
30.0ms	(/.f64 1 (sqrt.f64 (sin.f64 x)))
22.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 410 to 330 computations (19.5% saved)

simplify110.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4890	4500
1	4890	4500

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.5b	(.f64 (.f64 (cbrt.f64 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
0.3b	(.f64 (.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
0.5b	(.f64 (.f64 (cbrt.f64 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.6b	(cbrt.f64 (tan.f64 (/.f64 x 2)))

rewrite26.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cbrt-prod_binary64_791`
10×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
7×	`cbrt-div_binary64_792` `tan-quot_binary64_919`
6×	`pow1/3_binary64_842` `associate-r_binary64_700`
5×	`add-cbrt-cube_binary64_796` `pow-prod-down_binary64_831`
4×	`add-log-exp_binary64_799`
3×	`prod-exp_binary64_809` `associate-*r/_binary64_702` `cbrt-unprod_binary64_793`
1×	`associate-l/_binary64_703` `swap-sqr_binary64_727` `frac-times_binary64_770` `associate-l_binary64_701` `-commutative_binary64_691`

Counts

4 → 62

Calls

8 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
3.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
3.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
3.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.0ms	(.f64 (.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))

series639.0ms (0.5%)

Counts

4 → 24

Calls

4 calls:

198.0ms	(.f64 (.f64 (cbrt.f64 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
154.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
143.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))
142.0ms	(cbrt.f64 (tan.f64 (/.f64 x 2)))

Compiler

Compiled 1108 to 964 computations (13% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4911	1341
1	4911	1341

localize30.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
0.0b	(+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))
0.0b	(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))
0.3b	(*.f64 1/720 (pow.f64 x 6))
14.3b	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))) (sin.f64 x))
26.1b	(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))))
49.2b	(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6)))))

rewrite257.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

217×	`flip3-+_binary64_763` `flip-+_binary64_734`
158×	`times-frac_binary64_766`
128×	`frac-times_binary64_770` `frac-sub_binary64_769`
122×	`*-un-lft-identity_binary64_760`
85×	`add-sqr-sqrt_binary64_782`
80×	`add-cube-cbrt_binary64_795`
67×	`associate-/l/_binary64_707`
64×	`associate-l/_binary64_703` `associate-r/_binary64_702`
30×	`associate-/r/_binary64_706` `associate-/l*_binary64_705`
22×	`difference-of-squares_binary64_729`
21×	`distribute-lft-out_binary64_711`
20×	`frac-add_binary64_768`
16×	`add-exp-log_binary64_798`
13×	`add-cbrt-cube_binary64_796`
7×	`associate-/r_binary64_704` `associate-r*_binary64_700`
6×	`add-log-exp_binary64_799` `div-inv_binary64_757`
4×	`cbrt-undiv_binary64_794` `div-exp_binary64_811` `pow1_binary64_821` `unpow-prod-down_binary64_839`
3×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `associate-l_binary64_701` `div-sub_binary64_765`
2×	`frac-2neg_binary64_771` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate--r+_binary64_696` `sqr-pow_binary64_732` `associate--l+_binary64_697` `clear-num_binary64_759` `flip--_binary64_735` `flip3--_binary64_764`
1×	`diff-log_binary64_852` `cancel-sign-sub-inv_binary64_726` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `sub-neg_binary64_753` `*-commutative_binary64_691`

Counts

4 → 338

Calls

8 calls:

42.0ms	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))) (sin.f64 x))
40.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6)))))
23.0ms	(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))))
6.0ms	(*.f64 1/720 (pow.f64 x 6))
0.0ms	(+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))

series361.0ms (0.3%)

Counts

4 → 23

Calls

4 calls:

129.0ms	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6))))) (sin.f64 x))
111.0ms	(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))))) (+.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/720 (pow.f64 x 6)))))
63.0ms	(-.f64 (.f64 (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6))) (+.f64 (.f64 1/2 (.f64 x x)) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8))) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/40320 (pow.f64 x 8)))))
56.0ms	(*.f64 1/720 (pow.f64 x 6))

Compiler

Compiled 1002 to 801 computations (20.1% saved)

simplify408.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5716	50401

prune40.5s (32.3%)

Pruning

656 alts after pruning (643 fresh and 13 done)

	Pruned	Kept	Total
New	505	370	875
Fresh	28	273	301
Picked	0	0	0
Done	3	13	16
Total	536	656	1192

Error

Counts

1192 → 656

Compiler

Compiled 45719 to 33643 computations (26.4% saved)

simplify1.2s (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5015	96608

regimes8.1s (6.4%)

Compiler: Compiled 98739 to 77060 computations (22% saved)

bsearch0.0ms (0%)

regimes27.0ms (0%)

Compiler: Compiled 44 to 40 computations (9.1% saved)

bsearch42.0ms (0%)

Steps

Iters	Range		Point
9	2.3027067456540276	507022668.3330776	32653.191470125723
9	-7355266423.026666	-440.94552636840706	-14797.049530444241

Compiler

Compiled 1 to 1 computations (0% saved)

regimes15.0ms (0%)

Compiler: Compiled 22 to 24 computations (-9.1% saved)

bsearch20.0ms (0%)

Steps

Iters	Range		Point
9	2.3027067456540276	507022668.3330776	32653.191470125723

Compiler

Compiled 1 to 1 computations (0% saved)

regimes23.0ms (0%)

Compiler: Compiled 13 to 16 computations (-23.1% saved)

bsearch34.0ms (0%)

Steps

Iters	Range		Point
6	27998501225081.605	262192621573994.7	186655444905042.75
10	-3.0958993390248334e+35	-5.8190175731179605e+23	-9.870414528139964e+33

Compiler

Compiled 1 to 1 computations (0% saved)

regimes10.0ms (0%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch4.0ms (0%)

Compiler: Compiled 54 to 47 computations (13% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	76
1	58	76

end0.0ms (0%)

sample50.6s (40.3%)

Algorithm

1×

intervals

Results

2.2s	2029×	body	2048	valid
891.0ms	3006×	body	1024	valid
270.0ms	1522×	body	512	valid
110.0ms	727×	body	256	valid
79.0ms	88×	body	4096	valid
54.0ms	627×	body	128	valid
2.0ms	1×	body	8192	valid

Compiler

Compiled 49468 to 38615 computations (21.9% saved)

Pareto

0.3746410516066879