Details

analyze1.4s (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6568	928
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Symmetry

(sort z t a)

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample114.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
18.0ms	269×	body	128	nan
3.0ms	39×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune4.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite167.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-log-exp_binary64_2163`
20×	`add-sqr-sqrt_binary64_2146`
18×	`*-un-lft-identity_binary64_2124` `log-prod_binary64_2210`
14×	`add-cube-cbrt_binary64_2159`
13×	`sum-log_binary64_2215`
10×	`pow1_binary64_2185`
9×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-l_binary64_2065` `associate-r_binary64_2064`
6×	`associate-*l/_binary64_2067` `associate-+r+_binary64_2056`
4×	`flip3-+_binary64_2127` `frac-add_binary64_2132` `flip-+_binary64_2098`
3×	`flip3--_binary64_2128` `flip--_binary64_2099`
2×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `log-pow_binary64_2213` `*-commutative_binary64_2055` `associate-+l+_binary64_2057` `+-commutative_binary64_2054`
1×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075`

Counts

4 → 93

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 2974 to 1017 computations (65.8% saved)

series2.0s (15.1%)

Error

0.1b

Counts

4 → 72

Calls

4 calls:

1.3s	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
296.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
175.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
129.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3947 to 2790 computations (29.3% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5245	2963

prune186.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	161	4	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	162	4	166

Error

0.0b

Counts

166 → 4

Compiler

Compiled 4199 to 1407 computations (66.5% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite188.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`log-prod_binary64_2210`
36×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
30×	`cbrt-prod_binary64_2155`
26×	`add-sqr-sqrt_binary64_2146`
24×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `associate-+l+_binary64_2057`
12×	`associate-+r+_binary64_2056`
7×	`pow1_binary64_2185`
6×	`add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`associate-r_binary64_2064`
3×	`pow1/3_binary64_2206` `associate-l_binary64_2065`
2×	`log-pow_binary64_2213`
1×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 102

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3866 to 1605 computations (58.5% saved)

series751.0ms (5.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

298.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
271.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
79.0ms	(cbrt.f64 y)
78.0ms	(cbrt.f64 y)

Compiler

Compiled 1638 to 1318 computations (19.5% saved)

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4850	1320
1	4850	1320

prune173.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	120	4	124

Error

0.0b

Counts

124 → 4

Compiler

Compiled 4076 to 1816 computations (55.4% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite79.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_2155`
9×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`pow1/3_binary64_2206` `pow1_binary64_2185` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`

Counts

4 → 47

Calls

4 calls:

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

Compiler

Compiled 1903 to 727 computations (61.8% saved)

series363.0ms (2.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt.f64 (cbrt.f64 y))
87.0ms	(cbrt.f64 y)
78.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)

Compiler

Compiled 1389 to 1025 computations (26.2% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4718	376
1	4718	376

prune87.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Error

0.0b

Counts

63 → 4

Compiler

Compiled 2391 to 992 computations (58.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
4.9b	(pow.f64 y 1/3)

rewrite224.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

52×	`log-prod_binary64_2210`
40×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
28×	`associate-+l+_binary64_2057`
27×	`add-sqr-sqrt_binary64_2146`
25×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
15×	`unpow-prod-down_binary64_2203` `cbrt-prod_binary64_2155`
12×	`associate-+r+_binary64_2056`
8×	`pow1_binary64_2185`
7×	`add-exp-log_binary64_2162`
6×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
5×	`sqr-pow_binary64_2096` `associate-r_binary64_2064`
3×	`pow-unpow_binary64_2201` `associate-l_binary64_2065`
2×	`pow1/3_binary64_2206` `log-pow_binary64_2213`
1×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow1/3_binary64_2191` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 113

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 4428 to 2281 computations (48.5% saved)

series813.0ms (6.2%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

353.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 x (log.f64 (cbrt.f64 y))))
270.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
83.0ms	(pow.f64 y 1/3)
82.0ms	(cbrt.f64 y)

Compiler

Compiled 1713 to 1405 computations (18% saved)

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4895	1215
1	4895	1215

prune187.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Error

0.0b

Counts

135 → 4

Compiler

Compiled 4308 to 2118 computations (50.8% saved)

regimes1.9s (14.2%)

Accuracy

Total 0.1b remaining (86.3%)

Threshold costs 0.1b (86.3%)

Compiler

Compiled 23675 to 20112 computations (15% saved)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	37
1	57	37

Remove

(sort z t a)

Compiler

Compiled 48 to 42 computations (12.5% saved)

end0.0ms (0%)

sample3.9s (29.9%)

Algorithm

1×

intervals

Results

700.0ms	9606×	body	128	nan
670.0ms	7997×	body	128	valid
100.0ms	1207×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 1803 to 1530 computations (15.1% saved)

Details

analyze1.4s (11%)

sample114.0ms (0.9%)

simplify59.0ms (0.4%)

prune4.0ms (0%)

localize25.0ms (0.2%)

rewrite167.0ms (1.3%)

series2.0s (15.1%)

simplify78.0ms (0.6%)

prune186.0ms (1.4%)

localize24.0ms (0.2%)

rewrite188.0ms (1.4%)

series751.0ms (5.7%)

simplify121.0ms (0.9%)

prune173.0ms (1.3%)

localize28.0ms (0.2%)

rewrite79.0ms (0.6%)

series363.0ms (2.8%)

simplify78.0ms (0.6%)

prune87.0ms (0.7%)

localize28.0ms (0.2%)

rewrite224.0ms (1.7%)

series813.0ms (6.2%)

simplify115.0ms (0.9%)

prune187.0ms (1.4%)

regimes1.9s (14.2%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample3.9s (29.9%)

Profiling