Details

analyze493.0ms (3.6%)

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)

sample47.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	118×	body	256	valid
9.0ms	48×	body	512	valid
8.0ms	276×	pre	128	true
4.0ms	90×	body	128	valid
1.0ms	20×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify284.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (279.0ms)

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

51.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
24.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite153.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

48.8b

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×	`associate-l_binary64_2065` `-commutative_binary64_2055` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r_binary64_2068`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.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)

series656.0ms (4.8%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

214.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
158.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
56.0ms	(.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 (29.0ms)

Iter	Nodes	Cost
0	5268	2923

prune163.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.2b

Counts

138 → 10

Compiler

Compiled 3275 to 1823 computations (44.3% saved)

localize28.0ms (0.2%)

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))

rewrite588.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series824.0ms (6%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

305.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
224.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
125.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
108.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5093	3032

prune637.0ms (4.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	208	10	218

Error

0.2b

Counts

218 → 10

Compiler

Compiled 10399 to 6461 computations (37.9% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
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))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite570.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

73×	`add-exp-log_binary64_2162`
46×	`pow1_binary64_2185`
42×	`add-cbrt-cube_binary64_2160`
34×	`prod-exp_binary64_2173`
18×	`pow-prod-down_binary64_2195` `cbrt-unprod_binary64_2157`
17×	`div-exp_binary64_2175`
15×	`times-frac_binary64_2130`
13×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `-un-lft-identity_binary64_2124` `associate-/r_binary64_2068`
10×	`associate-*r/_binary64_2066`
7×	`unpow-prod-down_binary64_2203` `pow-exp_binary64_2192` `cube-prod_binary64_2152` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
6×	`pow-to-exp_binary64_2193`
5×	`frac-sub_binary64_2133`
4×	`add-log-exp_binary64_2163` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097` `frac-add_binary64_2132` `associate-/l*_binary64_2069`
3×	`pow-unpow_binary64_2201` `unpow3_binary64_2190` `cube-mult_binary64_2154` `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×	`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 → 140

Calls

4 calls:

32.0ms	(/.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))
11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9613 to 5645 computations (41.3% saved)

series824.0ms (6%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

326.0ms	(/.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))
239.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
99.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3270 computations (24.4% saved)

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5124	4394

prune659.0ms (4.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	178	4	182
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	179	13	192

Error

0.2b

Counts

192 → 13

Compiler

Compiled 10820 to 6777 computations (37.4% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
0.6b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite575.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

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

Counts

4 → 170

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9718 to 6153 computations (36.7% saved)

series827.0ms (6.1%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

358.0ms	(pow.f64 (*.f64 a c) 4)
237.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
96.0ms	(pow.f64 (*.f64 a c) 3)
76.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 3029 computations (26.7% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4963	2856
1	4963	2856

prune618.0ms (4.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	197	13	210

Error

0.2b

Counts

210 → 13

Compiler

Compiled 10495 to 6345 computations (39.5% saved)

regimes1.2s (8.8%)

Accuracy

Total 1.2b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 20865 to 14226 computations (31.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample4.1s (30%)

Algorithm

1×

intervals

Results

357.0ms	3848×	body	256	valid
260.0ms	8849×	pre	128	true
198.0ms	1448×	body	512	valid
138.0ms	2704×	body	128	valid
37.0ms	849×	body	128	nan

Compiler

Compiled 4062 to 2772 computations (31.8% saved)

Details

analyze493.0ms (3.6%)

sample47.0ms (0.3%)

simplify284.0ms (2.1%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite153.0ms (1.1%)

series656.0ms (4.8%)

simplify59.0ms (0.4%)

prune163.0ms (1.2%)

localize28.0ms (0.2%)

rewrite588.0ms (4.3%)

series824.0ms (6%)

simplify88.0ms (0.6%)

prune637.0ms (4.7%)

localize30.0ms (0.2%)

rewrite570.0ms (4.2%)

series824.0ms (6%)

simplify101.0ms (0.7%)

prune659.0ms (4.8%)

localize33.0ms (0.2%)

rewrite575.0ms (4.2%)

series827.0ms (6.1%)

simplify61.0ms (0.4%)

prune618.0ms (4.5%)

regimes1.2s (8.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.1s (30%)

Profiling