Details

analyze493.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	48
1	235	48
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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Symmetry

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample37.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	52×	body	1024	valid
8.0ms	161×	body	128	valid
4.0ms	27×	body	512	valid
2.0ms	16×	body	256	valid
1.0ms	23×	body	128	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

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

Error

3.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
3.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite92.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_15445`
22×	`times-frac_binary64_15429`
21×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
19×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
13×	`associate-r_binary64_15363`
6×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-/r*_binary64_15367`
5×	`pow1_binary64_15484`
4×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `associate-/l*_binary64_15368`
3×	`add-log-exp_binary64_15462` `div-inv_binary64_15420` `associate-l_binary64_15364`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-*r/_binary64_15365` `unswap-sqr_binary64_15391`
1×	`associate-/l/_binary64_15370` `pow-prod-down_binary64_15494` `*-commutative_binary64_15354`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 1235 to 325 computations (73.7% saved)

series562.0ms (8%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

410.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
103.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
30.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4949	1443
1	4949	1443

prune81.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Error

0.0b

Counts

111 → 9

Compiler

Compiled 1498 to 440 computations (70.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
3.1b	(/.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))) z)

rewrite112.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`add-exp-log_binary64_15461`
46×	`add-cbrt-cube_binary64_15459`
30×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
27×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
9×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423` `cbrt-prod_binary64_15454`
4×	`pow1_binary64_15484` `add-log-exp_binary64_15462`
3×	`times-frac_binary64_15429` `associate-r/_binary64_15365` `associate-/l/_binary64_15370` `associate-/r_binary64_15367` `pow1/3_binary64_15505`
1×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `frac-times_binary64_15433` `associate-l/_binary64_15366` `associate-/l_binary64_15368`

Counts

4 → 79

Calls

4 calls:

21.0ms	(/.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))) z)
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 2751 to 382 computations (86.1% saved)

series466.0ms (6.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

243.0ms	(/.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))) z)
71.0ms	(cbrt.f64 (sin.f64 y))
68.0ms	(cbrt.f64 (sin.f64 y))
66.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1263 to 724 computations (42.7% saved)

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	1253
1	4955	1253

prune81.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Error

Counts

112 → 10

Compiler

Compiled 2101 to 460 computations (78.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
3.6b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite274.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

480×	`times-frac_binary64_15429`
238×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
60×	`associate-/r*_binary64_15367`
23×	`div-inv_binary64_15420`
19×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
10×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
9×	`associate-/l*_binary64_15368`
6×	`associate-/r/_binary64_15369`
3×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `frac-2neg_binary64_15434` `clear-num_binary64_15422`

Counts

3 → 293

Calls

3 calls:

14.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
6.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 6084 to 1368 computations (77.5% saved)

series370.0ms (5.2%)

Error

Counts

3 → 26

Calls

3 calls:

210.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
115.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
31.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 713 to 492 computations (31% saved)

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4973	7643
1	4973	7643

prune217.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	5	2	7
Picked	0	1	1
Done	1	1	2
Total	322	7	329

Error

Counts

329 → 7

Compiler

Compiled 5839 to 975 computations (83.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
0.3b	(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
3.0b	(/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y))
6.4b	(/.f64 (*.f64 x (sin.f64 y)) y)

rewrite256.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_15429`
109×	`add-sqr-sqrt_binary64_15445`
107×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
54×	`add-exp-log_binary64_15461`
36×	`associate-/r*_binary64_15367`
34×	`add-cbrt-cube_binary64_15459`
30×	`div-exp_binary64_15474`
23×	`div-inv_binary64_15420`
16×	`cbrt-undiv_binary64_15457`
7×	`pow1_binary64_15484` `associate-/l*_binary64_15368`
6×	`prod-exp_binary64_15472` `associate-/r/_binary64_15369`
4×	`add-log-exp_binary64_15462` `cbrt-unprod_binary64_15456` `1-exp_binary64_15467` `rec-exp_binary64_15473`
3×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-l_binary64_15364` `associate-r_binary64_15363`
1×	`inv-pow_binary64_15508` `pow-flip_binary64_15497` `pow-prod-down_binary64_15494` `unswap-sqr_binary64_15391` `*-commutative_binary64_15354`

Counts

4 → 223

Calls

4 calls:

11.0ms	(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
6.0ms	(/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y))
5.0ms	(/.f64 (*.f64 x (sin.f64 y)) y)
4.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 4436 to 1449 computations (67.3% saved)

series618.0ms (8.7%)

Error

Counts

4 → 42

Calls

4 calls:

210.0ms	(/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y))
205.0ms	(/.f64 1 (/.f64 z (/.f64 (*.f64 x (sin.f64 y)) y)))
104.0ms	(/.f64 (*.f64 x (sin.f64 y)) y)
73.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 1340 to 928 computations (30.7% saved)

simplify131.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4929	5067
1	4929	5067

prune163.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	265	7	272

Error

Counts

272 → 7

Compiler

Compiled 4253 to 1115 computations (73.8% saved)

regimes814.0ms (11.5%)

Accuracy

Total 1.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 5323 to 3559 computations (33.1% saved)

bsearch51.0ms (0.7%)

Steps

Iters	Range		Point
6	1.4004453085668564e-207	1.44748351360723e-206	1.4147462597365342e-206
9	-6.066585341120335e+124	-2.7757978097622945e+119	-4.3897658556826435e+119

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	48
1	22	48

Removed

()

end0.0ms (0%)

sample1.9s (26.9%)

Algorithm

1×

intervals

Results

301.0ms	1398×	body	1024	valid
284.0ms	5379×	body	128	valid
120.0ms	796×	body	512	valid
43.0ms	424×	body	256	valid
26.0ms	516×	body	128	invalid
5.0ms	36×	body	512	invalid
5.0ms	46×	body	256	invalid
3.0ms	17×	body	1024	invalid
1.0ms	3×	body	2048	valid

Compiler

Compiled 849 to 569 computations (33% saved)

Details

analyze493.0ms (7%)

sample37.0ms (0.5%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite92.0ms (1.3%)

series562.0ms (8%)

simplify77.0ms (1.1%)

prune81.0ms (1.1%)

localize18.0ms (0.3%)

rewrite112.0ms (1.6%)

series466.0ms (6.6%)

simplify84.0ms (1.2%)

prune81.0ms (1.1%)

localize7.0ms (0.1%)

rewrite274.0ms (3.9%)

series370.0ms (5.2%)

simplify134.0ms (1.9%)

prune217.0ms (3.1%)

localize8.0ms (0.1%)

rewrite256.0ms (3.6%)

series618.0ms (8.7%)

simplify131.0ms (1.9%)

prune163.0ms (2.3%)

regimes814.0ms (11.5%)

bsearch51.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (26.9%)

Profiling