Details

analyze505.0ms (5%)

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)

sample52.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	118×	body	256	valid
9.0ms	275×	pre	128	true
9.0ms	53×	body	512	valid
5.0ms	85×	body	128	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify276.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (271.0ms)

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

53.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.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)
29.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite155.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

50.7b

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))
11.0ms	(-.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)

series641.0ms (6.4%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

202.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
154.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
154.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
63.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5268	2923

prune147.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	130	7	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	8	138

Error

0.1b

Counts

138 → 8

Compiler

Compiled 3119 to 1723 computations (44.8% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite597.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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×	`associate-r_binary64_2064` `times-frac_binary64_2130` `associate-/r*_binary64_2068`
16×	`unswap-sqr_binary64_2092` `cube-prod_binary64_2152`
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×	`-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069`

Counts

4 → 178

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
11.0ms	(/.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 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series807.0ms (8%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

298.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
215.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
123.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
113.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune608.0ms (6.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	208	8	216

Error

0.1b

Counts

216 → 8

Compiler

Compiled 10243 to 6362 computations (37.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite711.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

88×	`add-exp-log_binary64_2162`
68×	`times-frac_binary64_2130`
46×	`pow1_binary64_2185`
42×	`unpow-prod-down_binary64_2203`
39×	`add-cbrt-cube_binary64_2160`
37×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
36×	`prod-exp_binary64_2173`
27×	`div-exp_binary64_2175`
20×	`sqr-pow_binary64_2096`
19×	`associate-/r*_binary64_2068`
18×	`pow-prod-down_binary64_2195`
17×	`pow-exp_binary64_2192` `cbrt-unprod_binary64_2157`
15×	`cube-prod_binary64_2152`
13×	`pow-to-exp_binary64_2193`
11×	`unpow3_binary64_2190` `cube-mult_binary64_2154`
9×	`associate-/l*_binary64_2069`
6×	`cbrt-undiv_binary64_2158`
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` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 205

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
10.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12069 to 7095 computations (41.2% saved)

series832.0ms (8.3%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

331.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
240.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
105.0ms	(pow.f64 (*.f64 a c) 3)
90.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4680 to 3396 computations (27.4% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5132	3471

prune821.0ms (8.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	235	8	243

Error

0.1b

Counts

243 → 8

Compiler

Compiled 12884 to 7908 computations (38.6% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.1b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	3	3
Total	8	8

Error

0.1b

Counts

8 → 8

Compiler

Compiled 0 to 0 computations (0% saved)

regimes646.0ms (6.4%)

Accuracy

Total 1.4b remaining (87.6%)

Threshold costs 0b (0%)

Compiler

Compiled 9576 to 6899 computations (28% 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%)

sample2.9s (29.2%)

Algorithm

1×

intervals

Results

483.0ms	8815×	pre	128	true
375.0ms	3787×	body	256	valid
191.0ms	1359×	body	512	valid
147.0ms	2854×	body	128	valid
40.0ms	815×	body	128	nan

Compiler

Compiled 1799 to 1303 computations (27.6% saved)

Details

analyze505.0ms (5%)

sample52.0ms (0.5%)

simplify276.0ms (2.7%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite155.0ms (1.5%)

series641.0ms (6.4%)

simplify53.0ms (0.5%)

prune147.0ms (1.5%)

localize29.0ms (0.3%)

rewrite597.0ms (5.9%)

series807.0ms (8%)

simplify88.0ms (0.9%)

prune608.0ms (6.1%)

localize30.0ms (0.3%)

rewrite711.0ms (7.1%)

series832.0ms (8.3%)

simplify90.0ms (0.9%)

prune821.0ms (8.2%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes646.0ms (6.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.9s (29.2%)

Profiling