Details

analyze88.0ms (1.9%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	173×	body	128	valid
9.0ms	42×	body	1024	valid
4.0ms	26×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify162.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune2.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_4479`
19×	`times-frac_binary64_4464`
18×	`add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
13×	`associate-r_binary64_4400`
9×	`add-cbrt-cube_binary64_4491` `add-exp-log_binary64_4493`
4×	`pow1_binary64_4516`
3×	`associate-l_binary64_4401` `associate-/r_binary64_4404` `associate-/l_binary64_4405`
2×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `cbrt-undiv_binary64_4489` `add-log-exp_binary64_4494` `div-exp_binary64_4506` `unswap-sqr_binary64_4426` `div-inv_binary64_4455`
1×	`-commutative_binary64_4391` `frac-2neg_binary64_4469` `clear-num_binary64_4457` `pow-prod-down_binary64_4526` `associate-r/_binary64_4402`

Counts

2 → 59

Calls

2 calls:

9.0ms	(/.f64 (sin.f64 y) y)
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

series128.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
41.0ms	(/.f64 (sin.f64 y) y)

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4684	782
1	4684	782

prune55.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

Compiler

Compiled 846 to 244 computations (71.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_4486`
81×	`add-sqr-sqrt_binary64_4479`
69×	`times-frac_binary64_4464`
57×	`add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
16×	`associate-r_binary64_4400` `associate-l_binary64_4401` `swap-sqr_binary64_4425`
11×	`pow1_binary64_4516`
9×	`pow1/3_binary64_4537` `unswap-sqr_binary64_4426`
7×	`div-inv_binary64_4455` `cbrt-div_binary64_4487`
6×	`add-exp-log_binary64_4493`
4×	`add-cbrt-cube_binary64_4491` `add-log-exp_binary64_4494`
2×	`pow-prod-up_binary64_4525` `pow-prod-down_binary64_4526` `pow-sqr_binary64_4431`
1×	`cbrt-unprod_binary64_4488` `frac-times_binary64_4468` `prod-exp_binary64_4504` `pow-plus_binary64_4518` `associate-l/_binary64_4403` `-commutative_binary64_4391` `pow2_binary64_4536` `associate-*r/_binary64_4402`

Counts

4 → 144

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

series796.0ms (17.5%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
191.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
184.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
176.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify90.0ms (2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5021	2731

prune151.0ms (3.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	155	11	166

Merged error: 0.0b

Counts

166 → 11

Compiler

Compiled 3954 to 950 computations (76% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.5b	(cbrt.f64 y)
0.7b	(cbrt.f64 (sin.f64 y))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64_4486`
20×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
18×	`times-frac_binary64_4464`
4×	`add-cbrt-cube_binary64_4491` `pow1_binary64_4516` `add-log-exp_binary64_4494` `pow1/3_binary64_4537` `add-exp-log_binary64_4493`
2×	`div-inv_binary64_4455` `cbrt-div_binary64_4487`

Counts

4 → 66

Calls

4 calls:

3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 y)

series635.0ms (14%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
175.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
147.0ms	(cbrt.f64 y)
128.0ms	(cbrt.f64 (sin.f64 y))

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5137	959

prune80.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

Compiler

Compiled 2039 to 516 computations (74.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4486`
8×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
4×	`add-cbrt-cube_binary64_4491` `pow1_binary64_4516` `add-log-exp_binary64_4494` `pow1/3_binary64_4537` `add-exp-log_binary64_4493`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 y)

series515.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt.f64 y)
126.0ms	(cbrt.f64 (sin.f64 y))
124.0ms	(cbrt.f64 (sin.f64 y))
122.0ms	(cbrt.f64 (sin.f64 y))

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4869	463
1	4869	463

prune53.0ms (1.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	56	11	67

Merged error: 0.0b

Counts

67 → 11

Compiler

Compiled 1441 to 289 computations (79.9% saved)

regimes156.0ms (3.4%)

Compiler: Compiled 1236 to 762 computations (38.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.2s (27.3%)

Algorithm

1×

intervals

Results

278.0ms	1270×	body	1024	valid
266.0ms	5435×	body	128	valid
109.0ms	801×	body	512	valid
48.0ms	492×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 316 to 197 computations (37.7% saved)

Details

analyze88.0ms (1.9%)

sample38.0ms (0.8%)

simplify162.0ms (3.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite20.0ms (0.4%)

series128.0ms (2.8%)

simplify95.0ms (2.1%)

prune55.0ms (1.2%)

localize12.0ms (0.3%)

rewrite41.0ms (0.9%)

series796.0ms (17.5%)

simplify90.0ms (2%)

prune151.0ms (3.3%)

localize13.0ms (0.3%)

rewrite15.0ms (0.3%)

series635.0ms (14%)

simplify69.0ms (1.5%)

prune80.0ms (1.8%)

localize16.0ms (0.3%)

rewrite11.0ms (0.2%)

series515.0ms (11.3%)

simplify59.0ms (1.3%)

prune53.0ms (1.2%)

regimes156.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (27.3%)

Profiling