Details

analyze813.0ms (11.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample103.0ms (1.5%)

Algorithm

1×

intervals

Results

30.0ms	328×	body	128	nan
19.0ms	237×	body	128	valid
14.0ms	167×	body	128	invalid
3.0ms	11×	body	512	valid
3.0ms	4×	body	1024	valid
1.0ms	5×	body	512	invalid
1.0ms	4×	body	256	valid
1.0ms	3×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify151.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune5.0ms (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

Error

0.9b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
6.0b	(log.f64 (-.f64 1 z))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_2146`
34×	`*-un-lft-identity_binary64_2124`
24×	`log-prod_binary64_2210`
19×	`add-cube-cbrt_binary64_2159`
18×	`associate--l+_binary64_2061`
17×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
16×	`associate-r_binary64_2064`
13×	`pow1_binary64_2185`
12×	`cancel-sign-sub-inv_binary64_2090`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`associate-l_binary64_2065`
8×	`difference-of-squares_binary64_2093`
7×	`distribute-lft-out--_binary64_2076`
4×	`add-log-exp_binary64_2163` `sub-neg_binary64_2117` `associate-*r/_binary64_2066`
3×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `log-pow_binary64_2213` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`log-div_binary64_2211`
1×	`rem-log-exp_binary64_2165` `exp-sum_binary64_2170`

Counts

4 → 116

Calls

4 calls:

13.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
11.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

series358.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
57.0ms	(*.f64 y (-.f64 (log.f64 z) t))
49.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))
13.0ms	(log.f64 (-.f64 1 z))

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5043	2153

prune140.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	128	2	130

Error

0.0b

Counts

130 → 2

Compiler

Compiled 3085 to 1500 computations (51.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 b (.f64 (.f64 z z) 1/2))))
0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 b (.f64 (.f64 z z) 1/2)))))))
0.0b	(.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2)))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2146`
17×	`*-un-lft-identity_binary64_2124`
14×	`add-cube-cbrt_binary64_2159`
13×	`associate-r_binary64_2064`
11×	`pow1_binary64_2185`
10×	`add-cbrt-cube_binary64_2160`
9×	`associate-l_binary64_2065` `distribute-rgt-in_binary64_2074` `add-exp-log_binary64_2162` `distribute-lft-in_binary64_2073`
7×	`cancel-sign-sub-inv_binary64_2090`
6×	`log-prod_binary64_2210` `add-log-exp_binary64_2163` `associate--l+_binary64_2061`
5×	`associate-*r/_binary64_2066`
3×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `sub-neg_binary64_2117` `cbrt-unprod_binary64_2157`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate--r+_binary64_2060`
1×	`difference-of-squares_binary64_2093` `associate-+r-_binary64_2058` `log-pow_binary64_2213` `exp-diff_binary64_2172` `diff-log_binary64_2216` `flip3-+_binary64_2127` `flip-+_binary64_2098` `exp-sum_binary64_2170`

Counts

4 → 94

Calls

4 calls:

18.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 b (.f64 (.f64 z z) 1/2)))))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
6.0ms	(.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2)))
5.0ms	(-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 b (.f64 (.f64 z z) 1/2))))

series397.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

230.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 b (.f64 (.f64 z z) 1/2)))))))
68.0ms	(.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2)))
54.0ms	(*.f64 y (-.f64 (log.f64 z) t))
45.0ms	(-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 b (.f64 (.f64 z z) 1/2))))

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5114	2012

prune119.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

0.0b

Counts

108 → 3

Compiler

Compiled 3133 to 1253 computations (60% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.0b	(pow.f64 (exp.f64 a) (+.f64 z (+.f64 b (.f64 (.f64 z z) 1/2))))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_2124`
10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
9×	`cbrt-prod_binary64_2155`
5×	`pow1_binary64_2185`
4×	`pow-unpow_binary64_2201` `pow-pow_binary64_2196` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`unpow-prod-down_binary64_2203` `pow1/3_binary64_2206` `exp-prod_binary64_2176`
1×	`pow-exp_binary64_2192` `distribute-lft-out_binary64_2075` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193` `unpow-prod-up_binary64_2202`

Counts

4 → 55

Calls

4 calls:

8.0ms	(pow.f64 (exp.f64 a) (+.f64 z (+.f64 b (.f64 (.f64 z z) 1/2))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series318.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
73.0ms	(pow.f64 (exp.f64 a) (+.f64 z (+.f64 b (.f64 (.f64 z z) 1/2))))

simplify79.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4886	789
1	4886	789

prune78.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Error

0.0b

Counts

70 → 3

Compiler

Compiled 2177 to 755 computations (65.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (exp.f64 t) z)
0.2b	(pow.f64 (/.f64 (exp.f64 t) z) y)
1.9b	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
37×	`unpow-prod-down_binary64_2203`
36×	`times-frac_binary64_2130`
30×	`add-cube-cbrt_binary64_2159`
8×	`add-exp-log_binary64_2162`
6×	`difference-of-squares_binary64_2093` `pow-unpow_binary64_2201`
5×	`pow1_binary64_2185` `add-cbrt-cube_binary64_2160`
4×	`pow-exp_binary64_2192`
3×	`distribute-lft-out--_binary64_2076` `associate-/l_binary64_2069` `associate-/r_binary64_2068` `add-log-exp_binary64_2163` `div-inv_binary64_2121` `div-exp_binary64_2175`
2×	`associate-/r/_binary64_2070` `pow-pow_binary64_2196` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193`
1×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135`

Counts

3 → 94

Calls

3 calls:

10.0ms	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)
6.0ms	(pow.f64 (/.f64 (exp.f64 t) z) y)
5.0ms	(/.f64 (exp.f64 t) z)

series227.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)
90.0ms	(pow.f64 (/.f64 (exp.f64 t) z) y)
18.0ms	(/.f64 (exp.f64 t) z)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5020	1807

prune102.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 2437 to 989 computations (59.4% saved)

regimes306.0ms (4.3%)

Accuracy

Total 0.3b remaining (66.8%)

Threshold costs 0.3b (66.8%)

Compiler

Compiled 3001 to 2787 computations (7.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	26
1	81	26

end0.0ms (0%)

sample3.5s (49.1%)

Algorithm

1×

intervals

Results

894.0ms	10696×	body	128	nan
617.0ms	7350×	body	128	valid
445.0ms	5292×	body	128	invalid
92.0ms	305×	body	512	valid
70.0ms	120×	body	1024	valid
40.0ms	225×	body	256	valid
38.0ms	120×	body	512	invalid
28.0ms	53×	body	1024	invalid
20.0ms	116×	body	256	invalid

Compiler

Compiled 344 to 316 computations (8.1% saved)

Details

analyze813.0ms (11.5%)

sample103.0ms (1.5%)

simplify151.0ms (2.1%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

rewrite49.0ms (0.7%)

series358.0ms (5.1%)

simplify73.0ms (1%)

prune140.0ms (2%)

localize18.0ms (0.3%)

rewrite47.0ms (0.7%)

series397.0ms (5.6%)

simplify53.0ms (0.7%)

prune119.0ms (1.7%)

localize20.0ms (0.3%)

rewrite16.0ms (0.2%)

series318.0ms (4.5%)

simplify79.0ms (1.1%)

prune78.0ms (1.1%)

localize13.0ms (0.2%)

rewrite29.0ms (0.4%)

series227.0ms (3.2%)

simplify78.0ms (1.1%)

prune102.0ms (1.4%)

regimes306.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.5s (49.1%)

Profiling