Details

analyze175.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	29
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5039	29

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b	(.f64 3 (.f64 v v))

rewrite286.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_2146`
26×	`associate-l_binary64_2065`
23×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
22×	`add-cube-cbrt_binary64_2159` `times-frac_binary64_2130`
20×	`sqrt-prod_binary64_2140`
18×	`sqrt-div_binary64_2141` `frac-times_binary64_2134`
17×	`pow1_binary64_2185`
15×	`flip3--_binary64_2128` `flip--_binary64_2099`
12×	`associate-r_binary64_2064`
10×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-*r/_binary64_2066`
9×	`associate-*l/_binary64_2067`
7×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092`
4×	`add-log-exp_binary64_2163`
3×	`*-commutative_binary64_2055`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `sub-neg_binary64_2117` `distribute-rgt-in_binary64_2074` `cancel-sign-sub-inv_binary64_2090` `distribute-lft-in_binary64_2073` `difference-of-squares_binary64_2093`
1×	`div-inv_binary64_2121` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

4 → 129

Calls

4 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4142 to 2935 computations (29.1% saved)

series206.0ms (3.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

67.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
55.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
30.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 997 to 869 computations (12.8% saved)

simplify99.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4922	3598
1	4922	3598

prune250.0ms (4.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	3	151

Error

Counts

151 → 3

Compiler

Compiled 3943 to 2903 computations (26.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (+.f64 v 1))
0.0b	(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
0.2b	(.f64 3 (.f64 v v))

rewrite594.0ms (10.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

100×	`frac-times_binary64_2134`
52×	`sqrt-div_binary64_2141`
50×	`associate-*l/_binary64_2067`
44×	`add-sqr-sqrt_binary64_2146` `flip3--_binary64_2128` `flip--_binary64_2099`
37×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
36×	`associate-*r/_binary64_2066`
29×	`*-un-lft-identity_binary64_2124`
27×	`associate-l_binary64_2065`
25×	`pow1_binary64_2185`
24×	`add-cube-cbrt_binary64_2159` `flip3-+_binary64_2127` `flip-+_binary64_2098`
22×	`times-frac_binary64_2130`
19×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
17×	`associate-r_binary64_2064` `sqrt-prod_binary64_2140`
13×	`pow-prod-down_binary64_2195`
7×	`unswap-sqr_binary64_2092`
6×	`cancel-sign-sub-inv_binary64_2090`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055`
3×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
2×	`sub-neg_binary64_2117` `difference-of-squares_binary64_2093`
1×	`distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `div-inv_binary64_2121`

Counts

4 → 198

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (+.f64 v 1))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 7814 to 5875 computations (24.8% saved)

series218.0ms (3.8%)

Error

Counts

4 → 21

Calls

4 calls:

67.0ms	(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) (+.f64 v 1)) (-.f64 1 v))
55.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
39.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (+.f64 v 1))
29.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1033 to 933 computations (9.7% saved)

simplify139.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4926	7215
1	4926	7215

prune456.0ms (8.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	219	3	222

Error

Counts

222 → 3

Compiler

Compiled 6837 to 5217 computations (23.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(exp.f64 (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b	(.f64 3 (.f64 v v))

rewrite380.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64_2146`
34×	`frac-times_binary64_2134`
28×	`sqrt-div_binary64_2141`
26×	`associate-l_binary64_2065` `flip3--_binary64_2128` `flip--_binary64_2099`
23×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
22×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `times-frac_binary64_2130`
18×	`associate-*r/_binary64_2066`
17×	`associate-*l/_binary64_2067` `log-div_binary64_2211` `exp-diff_binary64_2172` `sqrt-prod_binary64_2140`
12×	`associate-r_binary64_2064`
10×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`unswap-sqr_binary64_2092`
6×	`exp-prod_binary64_2176`
4×	`add-log-exp_binary64_2163`
3×	`*-commutative_binary64_2055` `log-pow_binary64_2213`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `sub-neg_binary64_2117` `distribute-rgt-in_binary64_2074` `cancel-sign-sub-inv_binary64_2090` `distribute-lft-in_binary64_2073` `difference-of-squares_binary64_2093`
1×	`log-prod_binary64_2210` `exp-sum_binary64_2170` `rem-exp-log_binary64_2164` `div-inv_binary64_2121`

Counts

4 → 146

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
15.0ms	(exp.f64 (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 5327 to 3817 computations (28.3% saved)

series301.0ms (5.3%)

Error

Counts

4 → 21

Calls

4 calls:

120.0ms	(exp.f64 (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
68.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
54.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
31.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1188 to 1088 computations (8.4% saved)

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4957	4635
1	4957	4635

prune282.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	167	3	170

Error

Counts

170 → 3

Compiler

Compiled 4766 to 3592 computations (24.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 3/32 (pow.f64 v 4))) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 9/64 (pow.f64 v 6)))))
0.1b	(*.f64 9/64 (pow.f64 v 6))
0.1b	(*.f64 3/32 (pow.f64 v 4))
0.1b	(.f64 (.f64 v v) 5/8)

rewrite261.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_2146`
22×	`associate-r_binary64_2064`
21×	`add-exp-log_binary64_2162`
18×	`*-un-lft-identity_binary64_2124`
16×	`add-cube-cbrt_binary64_2159`
15×	`add-cbrt-cube_binary64_2160`
13×	`associate-l_binary64_2065`
11×	`pow1_binary64_2185`
10×	`prod-exp_binary64_2173`
9×	`unswap-sqr_binary64_2092`
8×	`unpow-prod-down_binary64_2203`
6×	`cbrt-unprod_binary64_2157` `cancel-sign-sub-inv_binary64_2090` `associate-*r/_binary64_2066`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`pow-prod-down_binary64_2195` `add-log-exp_binary64_2163` `*-commutative_binary64_2055` `sqr-pow_binary64_2096` `sqrt-prod_binary64_2140` `flip3-+_binary64_2127` `frac-sub_binary64_2133` `flip-+_binary64_2098`
2×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `sub-neg_binary64_2117` `associate--l+_binary64_2061`
1×	`flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`

Counts

4 → 109

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 3/32 (pow.f64 v 4))) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 9/64 (pow.f64 v 6)))))
6.0ms	(.f64 (.f64 v v) 5/8)
5.0ms	(*.f64 9/64 (pow.f64 v 6))
5.0ms	(*.f64 3/32 (pow.f64 v 4))

Compiler

Compiled 3774 to 2951 computations (21.8% saved)

series209.0ms (3.7%)

Error

Counts

4 → 17

Calls

4 calls:

71.0ms	(.f64 (sqrt.f64 2) (-.f64 (+.f64 1/4 (.f64 3/32 (pow.f64 v 4))) (+.f64 (.f64 (.f64 v v) 5/8) (*.f64 9/64 (pow.f64 v 6)))))
46.0ms	(*.f64 9/64 (pow.f64 v 6))
42.0ms	(*.f64 3/32 (pow.f64 v 4))
29.0ms	(.f64 (.f64 v v) 5/8)

Compiler

Compiled 886 to 781 computations (11.9% saved)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5526	2481

prune217.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 3639 to 2867 computations (21.2% saved)

regimes142.0ms (2.5%)

Accuracy

Total 0.0b remaining (88.7%)

Threshold costs 0.0b (88.7%)

Compiler

Compiled 1696 to 1449 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	29
1	54	29

end0.0ms (0%)

sample1.1s (20.1%)

Algorithm

1×

intervals

Results

408.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 534 to 459 computations (14% saved)

Details

analyze175.0ms (3.1%)

sample22.0ms (0.4%)

simplify84.0ms (1.5%)

prune3.0ms (0.1%)

localize12.0ms (0.2%)

rewrite286.0ms (5.1%)

series206.0ms (3.6%)

simplify99.0ms (1.7%)

prune250.0ms (4.4%)

localize13.0ms (0.2%)

rewrite594.0ms (10.5%)

series218.0ms (3.8%)

simplify139.0ms (2.5%)

prune456.0ms (8.1%)

localize15.0ms (0.3%)

rewrite380.0ms (6.7%)

series301.0ms (5.3%)

simplify80.0ms (1.4%)

prune282.0ms (5%)

localize17.0ms (0.3%)

rewrite261.0ms (4.6%)

series209.0ms (3.7%)

simplify59.0ms (1%)

prune217.0ms (3.8%)

regimes142.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (20.1%)

Profiling