Details

analyze505.0ms (1.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample993.0ms (2.7%)

Algorithm

1×

intervals

Results

18.0ms	70×	body	1024	invalid
11.0ms	52×	body	1024	valid
8.0ms	129×	body	128	invalid
8.0ms	161×	body	128	valid
4.0ms	31×	body	512	valid
3.0ms	21×	body	512	invalid
3.0ms	12×	body	256	valid
2.0ms	23×	body	256	invalid

Compiler

Compiled 4007 to 4506 computations (-12.5% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5030	11

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sin.f64 x)
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sinh.f64 y)

rewrite78.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64_2146`
20×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`times-frac_binary64_2130`
13×	`associate-r_binary64_2064`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`pow1_binary64_2185`
4×	`add-log-exp_binary64_2163`
3×	`associate-l_binary64_2065` `associate-/l_binary64_2069` `associate-/r_binary64_2068`
2×	`sinh-def_binary64_2309` `div-exp_binary64_2175` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `div-inv_binary64_2121`
1×	`pow-prod-down_binary64_2195` `associate-r/_binary64_2066` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071`

Counts

4 → 75

Calls

4 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sin.f64 x)
1.0ms	(sinh.f64 y)

Compiler

Compiled 1020 to 253 computations (75.2% saved)

series559.0ms (1.5%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

345.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
99.0ms	(/.f64 (sinh.f64 y) y)
74.0ms	(sinh.f64 y)
11.0ms	(sin.f64 x)

Compiler

Compiled 993 to 710 computations (28.5% saved)

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4989	1277
1	4989	1277

prune85.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Error

Counts

102 → 5

Compiler

Compiled 1315 to 413 computations (68.6% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
0.1b	(*.f64 1/120 (pow.f64 y 4))
0.1b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
0.2b	(.f64 1/6 (.f64 y y))

rewrite144.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_2146`
16×	`add-exp-log_binary64_2162`
13×	`add-cbrt-cube_binary64_2160`
11×	`pow1_binary64_2185` `associate-r_binary64_2064`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-l_binary64_2065`
7×	`prod-exp_binary64_2173`
6×	`add-log-exp_binary64_2163`
5×	`cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092`
4×	`pow-prod-down_binary64_2195` `unpow-prod-down_binary64_2203`
3×	`*-commutative_binary64_2055`
2×	`flip3-+_binary64_2127` `associate-*r/_binary64_2066` `flip-+_binary64_2098` `sqr-pow_binary64_2096`
1×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 77

Calls

4 calls:

10.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
7.0ms	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
6.0ms	(.f64 1/6 (.f64 y y))
6.0ms	(*.f64 1/120 (pow.f64 y 4))

Compiler

Compiled 1978 to 1182 computations (40.2% saved)

series549.0ms (1.5%)

Error

Counts

4 → 22

Calls

4 calls:

307.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
134.0ms	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
46.0ms	(*.f64 1/120 (pow.f64 y 4))
42.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 1039 to 768 computations (26.1% saved)

simplify86.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4932	1484
1	4932	1484

prune123.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	99	5	104

Error

Counts

104 → 5

Compiler

Compiled 2161 to 1265 computations (41.5% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sinh.f64 y)
0.3b	(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)
22.3b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))

rewrite102.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_2146`
15×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
14×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
13×	`associate-r_binary64_2064`
10×	`times-frac_binary64_2130`
9×	`pow1_binary64_2185`
8×	`cbrt-prod_binary64_2155`
4×	`add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`associate-r/_binary64_2066` `pow-unpow_binary64_2201` `pow-exp_binary64_2192` `rem-cube-cbrt_binary64_2147` `associate-l*_binary64_2065`
2×	`cube-div_binary64_2153` `unpow-prod-down_binary64_2203` `unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `sqr-pow_binary64_2096` `pow-prod-down_binary64_2195` `pow-pow_binary64_2196` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092`
1×	`pow1/3_binary64_2206` `cbrt-div_binary64_2156` `rem-cbrt-cube_binary64_2148` `pow-to-exp_binary64_2193` `sinh-def_binary64_2309` `div-inv_binary64_2121` `*-commutative_binary64_2055`

Counts

4 → 83

Calls

4 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1458 to 523 computations (64.1% saved)

series1.5s (3.9%)

Error

Counts

4 → 36

Calls

4 calls:

706.0ms	(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)
342.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))
307.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
57.0ms	(sinh.f64 y)

Compiler

Compiled 2286 to 1638 computations (28.3% saved)

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4987	2151
1	4987	2151

prune117.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Error

Counts

124 → 5

Compiler

Compiled 2017 to 850 computations (57.9% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.0b	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.2b	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

rewrite111.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`pow1_binary64_2185`
32×	`sqrt-pow1_binary64_2142`
22×	`pow-prod-down_binary64_2195`
12×	`pow1/2_binary64_2204`
10×	`pow-prod-up_binary64_2194` `add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-*r/_binary64_2066`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141` `pow-sqr_binary64_2097` `sqrt-prod_binary64_2140`
4×	`add-log-exp_binary64_2163` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
1×	`pow2_binary64_2205` `pow-plus_binary64_2187` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `rem-square-sqrt_binary64_2136` `frac-times_binary64_2134` `unswap-sqr_binary64_2092` `associate-l/_binary64_2067` `-commutative_binary64_2055` `sinh-def_binary64_2309`

Counts

4 → 84

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1834 to 310 computations (83.1% saved)

series1.2s (3.1%)

Error

Counts

4 → 34

Calls

4 calls:

352.0ms	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
349.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
344.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
71.0ms	(sinh.f64 y)

Compiler

Compiled 2617 to 1636 computations (37.5% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4971	1703
1	4971	1703

prune102.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	118	5	123

Error

Counts

123 → 5

Compiler

Compiled 2093 to 480 computations (77.1% saved)

regimes193.0ms (0.5%)

Accuracy

Total 0.0b remaining (88.5%)

Threshold costs 0.0b (88.5%)

Compiler

Compiled 1425 to 1104 computations (22.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample30.6s (82.1%)

Algorithm

1×

intervals

Results

436.0ms	2021×	body	1024	invalid
418.0ms	2014×	body	1024	valid
316.0ms	4308×	body	128	invalid
217.0ms	4501×	body	128	valid
155.0ms	995×	body	512	invalid
137.0ms	979×	body	512	valid
57.0ms	494×	body	256	invalid
48.0ms	503×	body	256	valid
1.0ms	3×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 126846 to 142600 computations (-12.4% saved)

Details

analyze505.0ms (1.4%)

sample993.0ms (2.7%)

simplify57.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite78.0ms (0.2%)

series559.0ms (1.5%)

simplify66.0ms (0.2%)

prune85.0ms (0.2%)

localize14.0ms (0%)

rewrite144.0ms (0.4%)

series549.0ms (1.5%)

simplify86.0ms (0.2%)

prune123.0ms (0.3%)

localize9.0ms (0%)

rewrite102.0ms (0.3%)

series1.5s (3.9%)

simplify67.0ms (0.2%)

prune117.0ms (0.3%)

localize9.0ms (0%)

rewrite111.0ms (0.3%)

series1.2s (3.1%)

simplify73.0ms (0.2%)

prune102.0ms (0.3%)

regimes193.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample30.6s (82.1%)

Profiling