Details

analyze580.0ms (3.8%)

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)

sample49.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	284×	pre	128	true
10.0ms	96×	body	256	valid
8.0ms	160×	body	128	valid
1.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify339.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (329.0ms)

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

43.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.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))
37.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite161.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

40.5b

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:

11.0ms	(/.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)

series875.0ms (5.8%)

Error

0.6b

Counts

4 → 72

Calls

4 calls:

238.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
235.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
179.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
127.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5207	3272

prune194.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.5b

Counts

147 → 11

Compiler

Compiled 3429 to 1853 computations (46% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite677.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

144×	`add-exp-log_binary64_2162`
72×	`prod-exp_binary64_2173`
51×	`div-exp_binary64_2175`
49×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
40×	`add-sqr-sqrt_binary64_2146`
29×	`unpow-prod-down_binary64_2203`
25×	`add-cbrt-cube_binary64_2160`
20×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
19×	`associate-r_binary64_2064`
16×	`unswap-sqr_binary64_2092`
15×	`sqr-pow_binary64_2096`
14×	`times-frac_binary64_2130` `associate-/r*_binary64_2068`
13×	`associate-l_binary64_2065`
10×	`cube-prod_binary64_2152`
8×	`cbrt-unprod_binary64_2157`
5×	`cbrt-undiv_binary64_2158`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l_binary64_2069` `unpow3_binary64_2190` `cube-mult_binary64_2154` `-commutative_binary64_2055`

Counts

4 → 188

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8959 to 5346 computations (40.3% saved)

series1.1s (7%)

Error

0.5b

Counts

4 → 30

Calls

4 calls:

421.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
340.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
128.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2647 computations (28.3% saved)

simplify138.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune647.0ms (4.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	217	12	229

Error

0.4b

Counts

229 → 12

Compiler

Compiled 10047 to 6056 computations (39.7% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite806.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

56×	`times-frac_binary64_2130`
51×	`add-exp-log_binary64_2162`
48×	`unpow-prod-down_binary64_2203`
47×	`add-sqr-sqrt_binary64_2146`
46×	`pow1_binary64_2185`
35×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
26×	`sqr-pow_binary64_2096`
23×	`add-cbrt-cube_binary64_2160`
21×	`prod-exp_binary64_2173`
19×	`pow-prod-down_binary64_2195`
18×	`pow-exp_binary64_2192`
14×	`pow-to-exp_binary64_2193`
12×	`div-exp_binary64_2175`
10×	`cbrt-unprod_binary64_2157`
9×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `cube-prod_binary64_2152` `unswap-sqr_binary64_2092`
8×	`associate-l_binary64_2065` `associate-r_binary64_2064` `associate-/l*_binary64_2069`
7×	`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`
1×	`pow2_binary64_2205` `swap-sqr_binary64_2091` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 192

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.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 10918 to 6364 computations (41.7% saved)

series780.0ms (5.2%)

Error

0.4b

Counts

4 → 27

Calls

4 calls:

359.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
157.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
106.0ms	(pow.f64 (*.f64 a c) 3)
99.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5427	3066

prune740.0ms (4.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	219	12	231

Error

0.4b

Counts

231 → 12

Compiler

Compiled 11917 to 6990 computations (41.3% saved)

localize32.0ms (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))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
15.6b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite653.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

131×	`add-exp-log_binary64_2162`
63×	`prod-exp_binary64_2173`
51×	`div-exp_binary64_2175`
47×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
38×	`add-sqr-sqrt_binary64_2146`
28×	`unpow-prod-down_binary64_2203`
21×	`add-cube-cbrt_binary64_2159` `times-frac_binary64_2130` `*-un-lft-identity_binary64_2124`
20×	`add-cbrt-cube_binary64_2160`
14×	`sqr-pow_binary64_2096` `associate-/r*_binary64_2068`
12×	`log-pow_binary64_2213` `unswap-sqr_binary64_2092` `associate-l_binary64_2065`
11×	`exp-prod_binary64_2176`
7×	`associate-r_binary64_2064`
6×	`cube-prod_binary64_2152`
5×	`pow1_binary64_2185` `cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
4×	`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` `unpow3_binary64_2190` `cube-mult_binary64_2154` `*-commutative_binary64_2055`

Counts

4 → 178

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
16.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
5.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8925 to 5520 computations (38.2% saved)

series1.9s (12.5%)

Error

0.4b

Counts

4 → 35

Calls

4 calls:

958.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
366.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
325.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
158.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4357 to 3137 computations (28% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5506	3581

prune629.0ms (4.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	212	13	225

Error

0.4b

Counts

225 → 13

Compiler

Compiled 9912 to 6048 computations (39% saved)

regimes784.0ms (5.2%)

Accuracy

Total 2.4b remaining (87.6%)

Threshold costs 0b (0%)

Compiler

Compiled 9040 to 6502 computations (28.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample3.8s (24.8%)

Algorithm

1×

intervals

Results

345.0ms	2922×	body	256	valid
313.0ms	8888×	pre	128	true
304.0ms	5077×	body	128	valid
56.0ms	888×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 2321 to 1672 computations (28% saved)

Details

analyze580.0ms (3.8%)

sample49.0ms (0.3%)

simplify339.0ms (2.2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite161.0ms (1.1%)

series875.0ms (5.8%)

simplify85.0ms (0.6%)

prune194.0ms (1.3%)

localize31.0ms (0.2%)

rewrite677.0ms (4.5%)

series1.1s (7%)

simplify138.0ms (0.9%)

prune647.0ms (4.3%)

localize48.0ms (0.3%)

rewrite806.0ms (5.3%)

series780.0ms (5.2%)

simplify93.0ms (0.6%)

prune740.0ms (4.9%)

localize32.0ms (0.2%)

rewrite653.0ms (4.3%)

series1.9s (12.5%)

simplify70.0ms (0.5%)

prune629.0ms (4.2%)

regimes784.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.8s (24.8%)

Profiling