Details

analyze506.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

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)

sample55.0ms (0.5%)

Algorithm

1×

intervals

Results

19.0ms	249×	body	128	valid
12.0ms	279×	pre	128	true
2.0ms	23×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify391.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (383.0ms)

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

28.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
27.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite140.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

26.0b

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)
5.0ms	(-.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)

series697.0ms (5.8%)

Error

1.0b

Counts

4 → 72

Calls

4 calls:

204.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
163.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
155.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
100.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune168.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	133	13	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	133	14	147

Error

0.6b

Counts

147 → 14

Compiler

Compiled 3512 to 1909 computations (45.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b	(/.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))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite605.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

155×	`add-exp-log_binary64_2162`
72×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
50×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
40×	`add-sqr-sqrt_binary64_2146`
31×	`unpow-prod-down_binary64_2203`
29×	`add-cbrt-cube_binary64_2160`
26×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
15×	`sqr-pow_binary64_2096`
12×	`unswap-sqr_binary64_2092` `cube-prod_binary64_2152` `associate-l_binary64_2065`
8×	`cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158`
7×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`
1×	`*-commutative_binary64_2055`

Counts

4 → 202

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 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series1.0s (8.4%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

351.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
270.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
212.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
121.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5089	3808

prune611.0ms (5.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	234	15	249

Error

0.6b

Counts

249 → 15

Compiler

Compiled 10859 to 6454 computations (40.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite477.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

90×	`add-exp-log_binary64_2162`
46×	`pow1_binary64_2185`
45×	`prod-exp_binary64_2173`
36×	`pow-exp_binary64_2192`
35×	`pow-to-exp_binary64_2193`
30×	`div-exp_binary64_2175`
26×	`add-cbrt-cube_binary64_2160`
25×	`add-sqr-sqrt_binary64_2146`
19×	`unpow-prod-down_binary64_2203` `pow-prod-down_binary64_2195`
13×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`cbrt-unprod_binary64_2157` `sqr-pow_binary64_2096`
9×	`unswap-sqr_binary64_2092`
8×	`associate-l_binary64_2065` `associate-r_binary64_2064`
7×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`pow-unpow_binary64_2201`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `*-commutative_binary64_2055` `cbrt-undiv_binary64_2158`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `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 → 155

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
5.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8492 to 4963 computations (41.6% saved)

series725.0ms (6%)

Error

0.6b

Counts

4 → 27

Calls

4 calls:

336.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
130.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
108.0ms	(.f64 (.f64 a c) (*.f64 a c))
96.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 4005 to 2730 computations (31.8% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5071	1994

prune468.0ms (3.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	182	15	197

Error

0.6b

Counts

197 → 15

Compiler

Compiled 9567 to 5544 computations (42.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.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))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
40.7b	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

rewrite533.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

96×	`add-exp-log_binary64_2162`
45×	`prod-exp_binary64_2173`
41×	`add-sqr-sqrt_binary64_2146`
31×	`times-frac_binary64_2130`
30×	`div-exp_binary64_2175`
28×	`unpow-prod-down_binary64_2203`
24×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
22×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
19×	`associate-/r*_binary64_2068`
17×	`log-pow_binary64_2213`
16×	`exp-prod_binary64_2176`
15×	`cube-prod_binary64_2152`
14×	`sqr-pow_binary64_2096`
12×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
7×	`cbrt-unprod_binary64_2157` `associate-r_binary64_2064`
6×	`cbrt-undiv_binary64_2158`
5×	`pow1_binary64_2185`
4×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `add-log-exp_binary64_2163`
3×	`div-inv_binary64_2121` `log-prod_binary64_2210`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069`
1×	`rem-log-exp_binary64_2165` `*-commutative_binary64_2055`

Counts

4 → 173

Calls

4 calls:

12.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
6.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

Compiler

Compiled 8679 to 5303 computations (38.9% saved)

series1.1s (9.4%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

443.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))
293.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
213.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
123.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4233 to 3145 computations (25.7% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4998	3082
1	4998	3082

prune475.0ms (3.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	11	11
Picked	0	1	1
Done	0	3	3
Total	206	15	221

Error

0.6b

Counts

221 → 15

Compiler

Compiled 9570 to 5732 computations (40.1% saved)

regimes770.0ms (6.4%)

Accuracy

Total 4.6b remaining (87.4%)

Threshold costs 0b (0%)

Compiler

Compiled 9372 to 6690 computations (28.6% saved)

bsearch24.0ms (0.2%)

Steps

Iters	Range		Point
3	1.1732490952451706	1.5381729894212322	1.4241342724912127

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	263	114
1	263	114

end0.0ms (0%)

sample2.8s (23.6%)

Algorithm

1×

intervals

Results

386.0ms	7708×	body	128	valid
266.0ms	8814×	pre	128	true
40.0ms	814×	body	128	nan
35.0ms	292×	body	256	valid

Compiler

Compiled 2439 to 1740 computations (28.7% saved)

Details

analyze506.0ms (4.2%)

sample55.0ms (0.5%)

simplify391.0ms (3.2%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite140.0ms (1.2%)

series697.0ms (5.8%)

simplify77.0ms (0.6%)

prune168.0ms (1.4%)

localize27.0ms (0.2%)

rewrite605.0ms (5%)

series1.0s (8.4%)

simplify97.0ms (0.8%)

prune611.0ms (5.1%)

localize28.0ms (0.2%)

rewrite477.0ms (3.9%)

series725.0ms (6%)

simplify70.0ms (0.6%)

prune468.0ms (3.9%)

localize30.0ms (0.3%)

rewrite533.0ms (4.4%)

series1.1s (9.4%)

simplify84.0ms (0.7%)

prune475.0ms (3.9%)

regimes770.0ms (6.4%)

bsearch24.0ms (0.2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.8s (23.6%)

Profiling