Details

analyze497.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	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)

sample39.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
9.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify280.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

30.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite144.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

28.0b

Rules

20×	`add-sqr-sqrt_binary64_2146`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `*-un-lft-identity_binary64_2124`
9×	`pow1_binary64_2185`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`difference-of-squares_binary64_2093` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
4×	`cancel-sign-sub-inv_binary64_2090` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `sqrt-prod_binary64_2140` `distribute-lft-out--_binary64_2076` `pow-prod-down_binary64_2195` `associate-r_binary64_2064`
2×	`diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
1×	`frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068` `associate-l_binary64_2065` `-commutative_binary64_2055`

Counts

4 → 77

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series630.0ms (3.9%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

204.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
162.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
149.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
49.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5268	2923

prune168.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	123	14	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	14	138

Error

0.7b

Counts

138 → 14

Compiler

Compiled 3417 to 1921 computations (43.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite596.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series779.0ms (4.9%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

278.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
214.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
118.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
110.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5093	3032

prune619.0ms (3.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	206	16	222

Error

0.7b

Counts

222 → 16

Compiler

Compiled 10635 to 6633 computations (37.6% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite609.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

83×	`add-exp-log_binary64_2162`
46×	`pow1_binary64_2185`
37×	`prod-exp_binary64_2173`
32×	`div-exp_binary64_2175`
30×	`pow-exp_binary64_2192`
29×	`pow-to-exp_binary64_2193` `add-cbrt-cube_binary64_2160`
18×	`pow-prod-down_binary64_2195`
11×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
10×	`times-frac_binary64_2130` `associate-*r/_binary64_2066`
8×	`associate-/r*_binary64_2068`
7×	`unpow-prod-down_binary64_2203` `associate-/l/_binary64_2071`
5×	`frac-sub_binary64_2133`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `cbrt-undiv_binary64_2158` `frac-add_binary64_2132` `associate-/l*_binary64_2069`
3×	`pow-unpow_binary64_2201` `sqr-pow_binary64_2096`
2×	`pow-pow_binary64_2196` `rem-cube-cbrt_binary64_2147` `pow-plus_binary64_2187` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055` `div-sub_binary64_2129` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 142

Calls

4 calls:

29.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9642 to 5747 computations (40.4% saved)

series889.0ms (5.6%)

Error

0.7b

Counts

4 → 42

Calls

4 calls:

316.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
314.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
100.0ms	(pow.f64 (*.f64 a c) 3)
91.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5053	4495

prune646.0ms (4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	176	8	184
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	178	22	200

Error

0.6b

Counts

200 → 22

Compiler

Compiled 11708 to 7145 computations (39% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite394.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

35×	`times-frac_binary64_2130`
33×	`add-exp-log_binary64_2162`
29×	`unpow-prod-down_binary64_2203`
27×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
17×	`sqr-pow_binary64_2096`
16×	`pow-exp_binary64_2192`
13×	`pow1_binary64_2185`
12×	`div-exp_binary64_2175`
10×	`pow-to-exp_binary64_2193`
9×	`pow-unpow_binary64_2201` `add-cbrt-cube_binary64_2160`
7×	`associate-/r*_binary64_2068`
6×	`pow-pow_binary64_2196` `prod-exp_binary64_2173`
5×	`associate-/l*_binary64_2069`
4×	`add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195`
2×	`rem-cube-cbrt_binary64_2147`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `cbrt-unprod_binary64_2157` `unpow2_binary64_2189` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 127

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 7193 to 4363 computations (39.3% saved)

series653.0ms (4.1%)

Error

0.6b

Counts

4 → 27

Calls

4 calls:

329.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
94.0ms	(pow.f64 (*.f64 a c) 4)
93.0ms	(pow.f64 (*.f64 a c) 3)
77.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5091	2247

prune440.0ms (2.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	19	20
Picked	1	0	1
Done	0	1	1
Total	155	21	176

Error

0.6b

Counts

176 → 21

Compiler

Compiled 8284 to 4970 computations (40% saved)

regimes2.2s (14%)

Accuracy

Total 4.5b remaining (87.8%)

Threshold costs 0b (0%)

Compiler

Compiled 34629 to 23424 computations (32.4% saved)

bsearch16.0ms (0.1%)

Steps

Iters	Range		Point
1	3.4446817382614676	3.592799537730875	3.555770087863523

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	303	120
1	303	120

end0.0ms (0%)

sample5.9s (37.1%)

Algorithm

1×

intervals

Results

394.0ms	7682×	body	128	valid
284.0ms	9017×	pre	128	true
54.0ms	1017×	body	128	nan
34.0ms	318×	body	256	valid

Compiler

Compiled 6840 to 4626 computations (32.4% saved)

Details

analyze497.0ms (3.1%)

sample39.0ms (0.2%)

simplify280.0ms (1.7%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite144.0ms (0.9%)

series630.0ms (3.9%)

simplify59.0ms (0.4%)

prune168.0ms (1%)

localize29.0ms (0.2%)

rewrite596.0ms (3.7%)

series779.0ms (4.9%)

simplify93.0ms (0.6%)

prune619.0ms (3.9%)

localize35.0ms (0.2%)

rewrite609.0ms (3.8%)

series889.0ms (5.6%)

simplify98.0ms (0.6%)

prune646.0ms (4%)

localize31.0ms (0.2%)

rewrite394.0ms (2.5%)

series653.0ms (4.1%)

simplify65.0ms (0.4%)

prune440.0ms (2.7%)

regimes2.2s (14%)

bsearch16.0ms (0.1%)

simplify7.0ms (0%)

end0.0ms (0%)

sample5.9s (37.1%)

Profiling