Details

analyze218.0ms (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample62.0ms (1.1%)

Algorithm

1×

intervals

Results

26.0ms	71×	body	1024	valid
10.0ms	140×	body	128	valid
8.0ms	33×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	12×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify180.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune4.0ms (0.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

3 → 59

Calls

3 calls:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
7.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 e (sin.f64 v))

series305.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
70.0ms	(*.f64 e (cos.f64 v))
64.0ms	(*.f64 e (sin.f64 v))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5072	920

prune71.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

Compiler

Compiled 1189 to 481 computations (59.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
6.2b	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `log-pow_binary64` `times-frac_binary64`
4×	`distribute-lft-out_binary64`
3×	`cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `exp-to-pow_binary64` `flip-+_binary64` `exp-prod_binary64`

Counts

4 → 77

Calls

4 calls:

8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
5.0ms	(*.f64 e (sin.f64 v))
5.0ms	(*.f64 e (cos.f64 v))
2.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

series418.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (.f64 e (cos.f64 v))))))
84.0ms	(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
57.0ms	(*.f64 e (cos.f64 v))
55.0ms	(*.f64 e (sin.f64 v))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5127	1064

prune71.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

Compiler

Compiled 1545 to 574 computations (62.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
55×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 117

Calls

3 calls:

9.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
5.0ms	(*.f64 e (cos.f64 v))

series367.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

169.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
139.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
59.0ms	(*.f64 e (cos.f64 v))

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4933	3208
1	4933	3208

prune117.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0.0b

Counts

133 → 7

Compiler

Compiled 2707 to 1111 computations (59% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.3b	(*.f64 (sin.f64 v) (sqrt.f64 e))
0.3b	(/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 (sin.f64 v) (sqrt.f64 e)))
0.3b	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 (sin.f64 v) (sqrt.f64 e))))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`times-frac_binary64`
47×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
28×	`sqrt-prod_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-/l*_binary64` `div-inv_binary64`
8×	`associate-/r*_binary64` `pow1_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`

Counts

4 → 135

Calls

4 calls:

15.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 (sin.f64 v) (sqrt.f64 e))))
10.0ms	(/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 (sin.f64 v) (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
5.0ms	(*.f64 e (cos.f64 v))

series560.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 (sin.f64 v) (sqrt.f64 e))))
197.0ms	(/.f64 (+.f64 (.f64 e (cos.f64 v)) 1) (.f64 (sin.f64 v) (sqrt.f64 e)))
86.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))
55.0ms	(*.f64 e (cos.f64 v))

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5035	3913

prune138.0ms (2.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	146	8	154

Merged error: 0.0b

Counts

154 → 8

Compiler

Compiled 3404 to 1226 computations (64% saved)

regimes160.0ms (2.9%)

Compiler: Compiled 1412 to 1016 computations (28% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms (0%)

sample2.3s (41.9%)

Algorithm

1×

intervals

Results

757.0ms	2019×	body	1024	valid
325.0ms	4467×	body	128	valid
229.0ms	990×	body	512	valid
151.0ms	8000×	pre	128	true
78.0ms	519×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 488 to 353 computations (27.7% saved)

Details

analyze218.0ms (4%)

sample62.0ms (1.1%)

simplify180.0ms (3.3%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite23.0ms (0.4%)

series305.0ms (5.6%)

simplify60.0ms (1.1%)

prune71.0ms (1.3%)

localize12.0ms (0.2%)

rewrite26.0ms (0.5%)

series418.0ms (7.7%)

simplify71.0ms (1.3%)

prune71.0ms (1.3%)

localize10.0ms (0.2%)

rewrite32.0ms (0.6%)

series367.0ms (6.7%)

simplify99.0ms (1.8%)

prune117.0ms (2.1%)

localize12.0ms (0.2%)

rewrite49.0ms (0.9%)

series560.0ms (10.2%)

simplify98.0ms (1.8%)

prune138.0ms (2.5%)

regimes160.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (41.9%)

Profiling