Details

analyze408.0ms (6.7%)

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
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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	42×	body	1024	valid
8.0ms	164×	body	128	valid
5.0ms	37×	body	512	valid
4.0ms	12×	body	256	valid
1.0ms	19×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify89.0ms (1.5%)

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

2.3b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_14422`
22×	`times-frac_binary64_14406`
21×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
19×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
13×	`associate-r_binary64_14340`
6×	`associate-/r*_binary64_14344` `cbrt-undiv_binary64_14434` `div-exp_binary64_14451`
5×	`pow1_binary64_14461`
4×	`cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `associate-/l*_binary64_14345`
3×	`div-inv_binary64_14397` `add-log-exp_binary64_14439` `associate-l_binary64_14341`
2×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-*r/_binary64_14342` `unswap-sqr_binary64_14368`
1×	`associate-/l/_binary64_14347` `pow-prod-down_binary64_14471` `*-commutative_binary64_14331`

Counts

3 → 83

Calls

6 calls:

12.0ms	(*.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)
0.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	(/.f64 (sin.f64 y) y)

series340.0ms (5.6%)

Counts

3 → 21

Calls

3 calls:

217.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
97.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
25.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 345 to 306 computations (11.3% saved)

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5060	1254

prune90.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Error

0.0b

Counts

105 → 8

Compiler

Compiled 1342 to 357 computations (73.4% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

2.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
2.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite58.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64_14406`
106×	`add-sqr-sqrt_binary64_14422`
94×	`*-un-lft-identity_binary64_14400`
92×	`add-cube-cbrt_binary64_14435`
64×	`add-exp-log_binary64_14438`
44×	`associate-r_binary64_14340`
34×	`add-cbrt-cube_binary64_14436`
30×	`div-exp_binary64_14451`
19×	`associate-/r*_binary64_14344`
14×	`prod-exp_binary64_14449` `cbrt-undiv_binary64_14434`
11×	`div-inv_binary64_14397`
7×	`pow1_binary64_14461` `associate-/l*_binary64_14345`
6×	`1-exp_binary64_14444` `cbrt-unprod_binary64_14433` `rec-exp_binary64_14450`
5×	`unswap-sqr_binary64_14368`
4×	`add-log-exp_binary64_14439`
3×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-l_binary64_14341`
2×	`associate-/l/_binary64_14347` `associate-*r/_binary64_14342` `associate-/r/_binary64_14346` `un-div-inv_binary64_14398`
1×	`pow-prod-down_binary64_14471` `pow-flip_binary64_14474` `*-commutative_binary64_14331` `inv-pow_binary64_14485`

Counts

4 → 207

Calls

8 calls:

17.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
12.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))
0.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))

series368.0ms (6.1%)

Counts

4 → 25

Calls

4 calls:

209.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
98.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
34.0ms	(/.f64 y (sin.f64 y))
27.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 424 to 381 computations (10.1% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5043	3220

prune157.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	232	8	240

Error

0.0b

Counts

240 → 8

Compiler

Compiled 3528 to 1130 computations (68% saved)

localize11.0ms (0.2%)

Local error

Found 6 expressions with local error:

2.4b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.4b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_14438`
31×	`add-sqr-sqrt_binary64_14422` `add-cbrt-cube_binary64_14436`
28×	`times-frac_binary64_14406`
26×	`add-cube-cbrt_binary64_14435` `-un-lft-identity_binary64_14400` `associate-r*_binary64_14340`
22×	`prod-exp_binary64_14449`
12×	`cbrt-unprod_binary64_14433` `div-exp_binary64_14451`
10×	`pow1_binary64_14461`
7×	`cbrt-undiv_binary64_14434`
4×	`pow-prod-down_binary64_14471` `associate-r/_binary64_14342` `associate-l*_binary64_14341`
3×	`1-exp_binary64_14444` `associate-/r_binary64_14344` `rec-exp_binary64_14450` `div-inv_binary64_14397` `add-log-exp_binary64_14439` `associate-/l_binary64_14345`
2×	`*-commutative_binary64_14331` `unswap-sqr_binary64_14368`
1×	`associate-*l/_binary64_14343` `frac-2neg_binary64_14411` `frac-times_binary64_14410` `clear-num_binary64_14399` `un-div-inv_binary64_14398`

Counts

3 → 105

Calls

6 calls:

11.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

series330.0ms (5.4%)

Counts

3 → 21

Calls

3 calls:

207.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
98.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
25.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 385 to 346 computations (10.1% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4957	1571
1	4957	1571

prune81.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	126	8	134

Error

0.0b

Counts

134 → 8

Compiler

Compiled 1745 to 574 computations (67.1% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.3b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
0.3b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
0.3b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
2.3b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64_14406`
54×	`add-exp-log_binary64_14438`
44×	`add-sqr-sqrt_binary64_14422`
39×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
34×	`add-cbrt-cube_binary64_14436`
26×	`div-exp_binary64_14451`
14×	`cbrt-undiv_binary64_14434`
13×	`associate-r_binary64_14340`
12×	`associate-/r*_binary64_14344`
10×	`prod-exp_binary64_14449`
9×	`associate-/l*_binary64_14345`
8×	`div-inv_binary64_14397`
7×	`pow1_binary64_14461`
6×	`cbrt-unprod_binary64_14433` `associate-*r/_binary64_14342` `associate-/r/_binary64_14346`
4×	`1-exp_binary64_14444` `rec-exp_binary64_14450` `add-log-exp_binary64_14439`
3×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-l_binary64_14341`
2×	`unswap-sqr_binary64_14368`
1×	`pow-prod-down_binary64_14471` `pow-flip_binary64_14474` `*-commutative_binary64_14331` `inv-pow_binary64_14485`

Counts

4 → 147

Calls

8 calls:

9.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

series536.0ms (8.8%)

Counts

4 → 31

Calls

4 calls:

219.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
202.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
89.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
26.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 590 to 529 computations (10.3% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5022	2507

prune123.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	178	8	186

Error

Counts

186 → 8

Compiler

Compiled 2443 to 707 computations (71.1% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	664
1	190	664

regimes702.0ms (11.6%)

Compiler: Compiled 3157 to 2325 computations (26.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

regimes100.0ms (1.6%)

Compiler: Compiled 252 to 293 computations (-16.3% saved)

bsearch42.0ms (0.7%)

Steps

Iters	Range		Point
7	5.3074030531505726e+36	6.999903236553116e+38	3.532423256112562e+37
7	-5.557323610427147e+35	-3.368461110191749e+34	-1.644394178841118e+35

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes96.0ms (1.6%)

Compiler: Compiled 220 to 265 computations (-20.5% saved)

bsearch39.0ms (0.6%)

Steps

Iters	Range		Point
5	3.627851870480315e-113	9.428436056348581e-113	7.470663675573942e-113
10	-4.325961774370944e-110	-3.976521973458081e-122	-1.309618746515175e-114

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes54.0ms (0.9%)

Compiler: Compiled 166 to 204 computations (-22.9% saved)

bsearch0.0ms (0%)

regimes37.0ms (0.6%)

Compiler: Compiled 96 to 129 computations (-34.4% saved)

bsearch0.0ms (0%)

regimes45.0ms (0.7%)

Compiler: Compiled 57 to 93 computations (-63.2% saved)

bsearch31.0ms (0.5%)

Steps

Iters	Range		Point
6	1.111615230892084e+37	1.3605614797379107e+38	3.934750005452781e+37
5	-1.2296433313868332e+67	-5.123107634747325e+66	-5.191781109053273e+66

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.7%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch49.0ms (0.8%)

Steps

Iters	Range		Point
10	0.0001330640709844094	15800174.580644859	3.176535450576329
10	-9.802208437376448e+17	-47100768.39577524	-9.319525298154067e+17

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.4%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 163 to 105 computations (35.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	122	221
1	122	221

end0.0ms (0%)

sample1.7s (27.7%)

Algorithm

1×

intervals

Results

283.0ms	5424×	body	128	valid
279.0ms	1388×	body	1024	valid
116.0ms	756×	body	512	valid
43.0ms	425×	body	256	valid
32.0ms	554×	body	128	invalid
9.0ms	63×	body	512	invalid
6.0ms	59×	body	256	invalid
5.0ms	27×	body	1024	invalid
2.0ms	7×	body	2048	valid

Compiler

Compiled 626 to 458 computations (26.8% saved)

Pareto

0.8150705883565722

Details

analyze408.0ms (6.7%)

sample37.0ms (0.6%)

simplify89.0ms (1.5%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite28.0ms (0.5%)

series340.0ms (5.6%)

simplify65.0ms (1.1%)

prune90.0ms (1.5%)

localize12.0ms (0.2%)

rewrite58.0ms (1%)

series368.0ms (6.1%)

simplify99.0ms (1.6%)

prune157.0ms (2.6%)

localize11.0ms (0.2%)

rewrite31.0ms (0.5%)

series330.0ms (5.4%)

simplify84.0ms (1.4%)

prune81.0ms (1.3%)

localize9.0ms (0.1%)

rewrite39.0ms (0.6%)

series536.0ms (8.8%)

simplify96.0ms (1.6%)

prune123.0ms (2%)

simplify13.0ms (0.2%)

regimes702.0ms (11.6%)

bsearch1.0ms (0%)

regimes100.0ms (1.6%)

bsearch42.0ms (0.7%)

regimes96.0ms (1.6%)

bsearch39.0ms (0.6%)

regimes54.0ms (0.9%)

bsearch0.0ms (0%)

regimes37.0ms (0.6%)

bsearch0.0ms (0%)

regimes45.0ms (0.7%)

bsearch31.0ms (0.5%)

regimes40.0ms (0.7%)

bsearch49.0ms (0.8%)

regimes27.0ms (0.4%)

bsearch8.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.7s (27.7%)

Profiling