Details

analyze2.2s (16.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	184
1	161	184
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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 29 to 18 computations (37.9% saved)

sample127.0ms (0.9%)

Algorithm

1×

intervals

Results

58.0ms	69×	body	1024	valid
24.0ms	36×	body	512	valid
24.0ms	137×	body	128	valid
5.0ms	14×	body	256	valid

Compiler

Compiled 57 to 38 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (sin.f64 t))
1.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
33.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite244.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64_3835`
92×	`add-sqr-sqrt_binary64_3851`
90×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
26×	`associate-/l*_binary64_3774`
16×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
10×	`div-inv_binary64_3826`
6×	`pow1_binary64_3890` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/r*_binary64_3773`
4×	`add-log-exp_binary64_3868`
3×	`associate-l_binary64_3770` `associate-r_binary64_3769`
2×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `associate-/l/_binary64_3776` `tan-quot_binary64_3988` `associate-/r/_binary64_3775`
1×	`cos-atan_binary64_4008` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(*.f64 ew (sin.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6296 to 1264 computations (79.9% saved)

series920.0ms (6.7%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

341.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
325.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
153.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
71.0ms	(*.f64 ew (sin.f64 t))

Compiler

Compiled 3169 to 1500 computations (52.7% saved)

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4912	3588
1	4912	3588

prune223.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	197	7	204
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	7	205

Error

0.1b

Counts

205 → 7

Compiler

Compiled 7404 to 1272 computations (82.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.9b	(/.f64 eh (*.f64 ew (tan.f64 t)))
3.9b	(/.f64 eh (*.f64 ew (tan.f64 t)))
9.6b	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 ew (tan.f64 t))) (/.f64 eh (*.f64 ew (tan.f64 t))))))

rewrite234.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

81×	`times-frac_binary64_3835`
52×	`add-sqr-sqrt_binary64_3851`
51×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
19×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-/l*_binary64_3774`
7×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `div-inv_binary64_3826`
5×	`pow1_binary64_3890` `associate-/r*_binary64_3773`
4×	`add-log-exp_binary64_3868`
3×	`sqrt-prod_binary64_3845` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `tan-quot_binary64_3988` `associate-/r/_binary64_3775`
2×	`sqrt-div_binary64_3846` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `associate-*r/_binary64_3771`
1×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `flip3-+_binary64_3832` `flip-+_binary64_3803` `rem-sqrt-square_binary64_3842` `associate-/l/_binary64_3776`

Counts

4 → 130

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
5.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
4.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 ew (tan.f64 t))) (/.f64 eh (*.f64 ew (tan.f64 t))))))

Compiler

Compiled 6145 to 1743 computations (71.6% saved)

series1.7s (12.1%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

590.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 ew (tan.f64 t))) (/.f64 eh (*.f64 ew (tan.f64 t))))))
340.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
332.0ms	(/.f64 eh (*.f64 ew (tan.f64 t)))
326.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))

Compiler

Compiled 5740 to 3077 computations (46.4% saved)

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4953	3325
1	4953	3325

prune251.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	179	7	186

Error

0.1b

Counts

186 → 7

Compiler

Compiled 8076 to 2262 computations (72% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.0b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
10.0b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
10.0b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
33.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite65.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

4×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
3×	`pow1/3_binary64_3911` `cbrt-prod_binary64_3860`
1×	`cos-atan_binary64_4008`

Counts

4 → 35

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
3.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
3.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 1642 to 220 computations (86.6% saved)

series897.0ms (6.6%)

Error

0.1b

Counts

4 → 27

Calls

4 calls:

226.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
213.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
204.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
152.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 3582 to 1578 computations (55.9% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	685
1	4943	685

prune83.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	60	9	69

Error

0.1b

Counts

69 → 9

Compiler

Compiled 2991 to 409 computations (86.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(/.f64 (/.f64 eh ew) (tan.f64 t))
10.0b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
10.0b	(cbrt.f64 (*.f64 ew (sin.f64 t)))
33.5b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite162.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

75×	`times-frac_binary64_3835`
46×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
13×	`associate-/l*_binary64_3774`
9×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
5×	`div-inv_binary64_3826`
4×	`pow1_binary64_3890` `add-log-exp_binary64_3868`
3×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/r*_binary64_3773`
2×	`pow1/3_binary64_3911` `cbrt-prod_binary64_3860`
1×	`cos-atan_binary64_4008` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `associate-/l/_binary64_3776` `tan-quot_binary64_3988` `associate-/r/_binary64_3775`

Counts

4 → 97

Calls

4 calls:

7.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
3.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
2.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 4950 to 809 computations (83.7% saved)

series963.0ms (7.1%)

Error

0.1b

Counts

4 → 31

Calls

4 calls:

338.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
217.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
209.0ms	(cbrt.f64 (*.f64 ew (sin.f64 t)))
165.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 4139 to 1879 computations (54.6% saved)

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4938	2069
1	4938	2069

prune151.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	127	10	137

Error

0.1b

Counts

137 → 10

Compiler

Compiled 6143 to 794 computations (87.1% saved)

regimes400.0ms (2.9%)

Accuracy

Total 0.1b remaining (41.3%)

Threshold costs 0.1b (41.3%)

Compiler

Compiled 5516 to 3144 computations (43% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	61
1	32	61

end0.0ms (0%)

sample4.6s (33.5%)

Algorithm

1×

intervals

Results

1.8s	2054×	body	1024	valid
782.0ms	4410×	body	128	valid
587.0ms	1016×	body	512	valid
187.0ms	511×	body	256	valid
21.0ms	9×	body	2048	valid

Compiler

Compiled 1147 to 657 computations (42.7% saved)

Details

analyze2.2s (16.4%)

sample127.0ms (0.9%)

simplify9.0ms (0.1%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite244.0ms (1.8%)

series920.0ms (6.7%)

simplify108.0ms (0.8%)

prune223.0ms (1.6%)

localize27.0ms (0.2%)

rewrite234.0ms (1.7%)

series1.7s (12.1%)

simplify85.0ms (0.6%)

prune251.0ms (1.8%)

localize25.0ms (0.2%)

rewrite65.0ms (0.5%)

series897.0ms (6.6%)

simplify58.0ms (0.4%)

prune83.0ms (0.6%)

localize29.0ms (0.2%)

rewrite162.0ms (1.2%)

series963.0ms (7.1%)

simplify102.0ms (0.7%)

prune151.0ms (1.1%)

regimes400.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (33.5%)

Profiling