Details

analyze266.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	246×	body	128	valid
8.0ms	283×	pre	128	true
1.0ms	27×	body	128	nan
1.0ms	10×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify404.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (309.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

29.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
29.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite146.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

27.3b

Rules

21×	`add-sqr-sqrt_binary64_2146`
14×	`*-un-lft-identity_binary64_2124`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `sqrt-prod_binary64_2140` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`
3×	`distribute-lft-out--_binary64_2076`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071` `sqrt-div_binary64_2141`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series682.0ms (6.5%)

Error

0.9b

Counts

4 → 72

Calls

4 calls:

203.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
148.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
103.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5207	3272

prune175.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	133	13	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	13	147

Error

0.6b

Counts

147 → 13

Compiler

Compiled 3479 to 1888 computations (45.7% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite540.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

109×	`add-exp-log_binary64_2162`
54×	`prod-exp_binary64_2173`
42×	`add-sqr-sqrt_binary64_2146`
30×	`div-exp_binary64_2175`
29×	`add-cbrt-cube_binary64_2160` `unpow-prod-down_binary64_2203`
24×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`times-frac_binary64_2130` `associate-/r_binary64_2068` `associate-r*_binary64_2064`
16×	`cube-prod_binary64_2152` `unswap-sqr_binary64_2092`
15×	`sqr-pow_binary64_2096`
13×	`associate-l_binary64_2065`
10×	`cbrt-unprod_binary64_2157`
6×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069` `-commutative_binary64_2055`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series785.0ms (7.5%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

274.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
220.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
124.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
108.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5093	3032

prune555.0ms (5.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	208	13	221

Error

0.6b

Counts

221 → 13

Compiler

Compiled 9630 to 5682 computations (41% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite476.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

80×	`add-exp-log_binary64_2162`
46×	`pow1_binary64_2185`
42×	`prod-exp_binary64_2173`
39×	`add-cbrt-cube_binary64_2160`
27×	`add-sqr-sqrt_binary64_2146`
19×	`unpow-prod-down_binary64_2203` `pow-prod-down_binary64_2195`
18×	`cbrt-unprod_binary64_2157`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `div-exp_binary64_2175`
13×	`pow-exp_binary64_2192`
12×	`pow-to-exp_binary64_2193` `times-frac_binary64_2130` `associate-/r*_binary64_2068`
11×	`sqr-pow_binary64_2096`
9×	`unswap-sqr_binary64_2092`
8×	`associate-l_binary64_2065` `associate-r_binary64_2064`
7×	`cube-prod_binary64_2152`
5×	`cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`pow-unpow_binary64_2201` `unpow3_binary64_2190` `cube-mult_binary64_2154`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `*-commutative_binary64_2055`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`

Counts

4 → 153

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8467 to 4865 computations (42.5% saved)

series593.0ms (5.7%)

Error

0.6b

Counts

4 → 27

Calls

4 calls:

243.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
110.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
101.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2847 computations (28.9% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5056	1914

prune537.0ms (5.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	179	14	193

Error

0.6b

Counts

193 → 14

Compiler

Compiled 9471 to 5696 computations (39.9% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 a (.f64 c c))
0.2b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite148.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

32×	`add-exp-log_binary64_2162`
24×	`times-frac_binary64_2130`
18×	`*-un-lft-identity_binary64_2124`
17×	`add-cbrt-cube_binary64_2160` `add-sqr-sqrt_binary64_2146`
16×	`cancel-sign-sub-inv_binary64_2090`
14×	`add-cube-cbrt_binary64_2159`
12×	`prod-exp_binary64_2173` `associate-/r*_binary64_2068`
9×	`div-exp_binary64_2175` `unpow-prod-down_binary64_2203` `cube-prod_binary64_2152`
8×	`pow1_binary64_2185`
7×	`add-log-exp_binary64_2163`
6×	`cbrt-unprod_binary64_2157`
3×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `cbrt-undiv_binary64_2158` `unpow3_binary64_2190` `cube-mult_binary64_2154` `sqr-pow_binary64_2096` `pow-prod-down_binary64_2195` `associate-l_binary64_2065`
2×	`div-inv_binary64_2121` `diff-log_binary64_2216` `distribute-lft-out--_binary64_2076`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l_binary64_2069` `neg-log_binary64_2217` `distribute-neg-frac_binary64_2088` `frac-sub_binary64_2133` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-rgt-neg-in_binary64_2082` `neg-sub0_binary64_2119` `associate--l-_binary64_2062` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `-commutative_binary64_2055`

Counts

3 → 99

Calls

3 calls:

32.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
6.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 2121 to 809 computations (61.9% saved)

series562.0ms (5.4%)

Error

0.6b

Counts

3 → 33

Calls

3 calls:

284.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
193.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
61.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 1158 to 885 computations (23.6% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5155	2014

prune96.0ms (0.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	0	11	11
Picked	1	0	1
Done	0	2	2
Total	129	17	146

Error

0.6b

Counts

146 → 17

Compiler

Compiled 2164 to 713 computations (67.1% saved)

regimes767.0ms (7.3%)

Accuracy

Total 5.1b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 10632 to 7426 computations (30.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample3.3s (31.4%)

Algorithm

1×

intervals

Results

393.0ms	7700×	body	128	valid
262.0ms	8874×	pre	128	true
43.0ms	874×	body	128	nan
28.0ms	300×	body	256	valid

Compiler

Compiled 2720 to 1906 computations (29.9% saved)

Details

analyze266.0ms (2.5%)

sample36.0ms (0.3%)

simplify404.0ms (3.9%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite146.0ms (1.4%)

series682.0ms (6.5%)

simplify79.0ms (0.8%)

prune175.0ms (1.7%)

localize27.0ms (0.3%)

rewrite540.0ms (5.2%)

series785.0ms (7.5%)

simplify91.0ms (0.9%)

prune555.0ms (5.3%)

localize30.0ms (0.3%)

rewrite476.0ms (4.6%)

series593.0ms (5.7%)

simplify58.0ms (0.6%)

prune537.0ms (5.1%)

localize12.0ms (0.1%)

rewrite148.0ms (1.4%)

series562.0ms (5.4%)

simplify71.0ms (0.7%)

prune96.0ms (0.9%)

regimes767.0ms (7.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.3s (31.4%)

Profiling