Details

analyze512.0ms (2%)

Algorithm

1×

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)

sample68.0ms (0.3%)

Algorithm

1×

intervals

Results

22.0ms	242×	body	128	valid
15.0ms	283×	pre	128	true
3.0ms	14×	body	256	valid
2.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify740.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (565.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (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

29.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite276.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

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:

24.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
17.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
11.0ms	(.f64 (.f64 3 a) c)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series1.2s (4.7%)

Error

0.8b

Counts

4 → 60

Calls

4 calls:

405.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
298.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
298.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
105.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5268	2923

prune317.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	122	15	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	15	138

Error

0.5b

Counts

138 → 15

Compiler

Compiled 3431 to 1931 computations (43.7% saved)

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite1.4s (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069` `unpow3_binary64_2190` `cube-mult_binary64_2154`
1×	`*-commutative_binary64_2055`

Counts

4 → 202

Calls

4 calls:

20.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
18.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
18.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
18.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 10444 to 6552 computations (37.3% saved)

series1.9s (7.4%)

Error

0.5b

Counts

4 → 33

Calls

4 calls:

626.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
547.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
395.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
230.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4455 to 3322 computations (25.4% saved)

simplify190.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5089	3808

prune1.5s (5.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	234	16	250

Error

0.5b

Counts

250 → 16

Compiler

Compiled 11902 to 7460 computations (37.3% saved)

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.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)

rewrite1.0s (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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:

15.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
14.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
12.0ms	(.f64 (.f64 a c) (*.f64 a c))
7.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8802 to 5273 computations (40.1% saved)

series1.3s (5.1%)

Error

0.5b

Counts

4 → 27

Calls

4 calls:

618.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
221.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
197.0ms	(pow.f64 (*.f64 a c) 3)
181.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4167 to 2892 computations (30.6% saved)

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5071	1994

prune1.1s (4.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	182	16	198

Error

0.5b

Counts

198 → 16

Compiler

Compiled 10032 to 5972 computations (40.5% saved)

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.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))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
39.4b	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

rewrite1.4s (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

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`
39×	`add-sqr-sqrt_binary64_2146`
28×	`unpow-prod-down_binary64_2203`
26×	`times-frac_binary64_2130`
22×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
20×	`add-cbrt-cube_binary64_2160`
17×	`log-pow_binary64_2213`
16×	`exp-prod_binary64_2176`
14×	`sqr-pow_binary64_2096` `associate-/r*_binary64_2068`
12×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
9×	`cube-prod_binary64_2152`
7×	`associate-r_binary64_2064`
5×	`pow1_binary64_2185` `cbrt-unprod_binary64_2157` `cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163`
3×	`div-inv_binary64_2121` `log-prod_binary64_2210`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069`
1×	`rem-log-exp_binary64_2165` `*-commutative_binary64_2055`

Counts

4 → 183

Calls

4 calls:

19.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
16.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
15.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
12.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

Compiler

Compiled 9873 to 6348 computations (35.7% saved)

series2.3s (9%)

Error

0.5b

Counts

4 → 33

Calls

4 calls:

815.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))
636.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
540.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
227.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4629 to 3496 computations (24.5% saved)

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5029	3488

prune1.3s (5.1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	216	16	232

Error

0.5b

Counts

232 → 16

Compiler

Compiled 10908 to 6957 computations (36.2% saved)

regimes2.5s (9.8%)

Accuracy

Total 4.6b remaining (87%)

Threshold costs 0b (0%)

Compiler

Compiled 13153 to 9527 computations (27.6% saved)

bsearch40.0ms (0.2%)

Steps

Iters	Range		Point
3	0.6711193329824373	0.8969613352767684	0.8828462101333726

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	265	118
1	265	118

end0.0ms (0%)

sample6.1s (23.4%)

Algorithm

1×

intervals

Results

743.0ms	7688×	body	128	valid
485.0ms	8997×	pre	128	true
85.0ms	997×	body	128	nan
62.0ms	312×	body	256	valid

Compiler

Compiled 2551 to 1848 computations (27.6% saved)

Details

analyze512.0ms (2%)

sample68.0ms (0.3%)

simplify740.0ms (2.8%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite276.0ms (1.1%)

series1.2s (4.7%)

simplify108.0ms (0.4%)

prune317.0ms (1.2%)

localize69.0ms (0.3%)

rewrite1.4s (5.4%)

series1.9s (7.4%)

simplify190.0ms (0.7%)

prune1.5s (5.8%)

localize64.0ms (0.2%)

rewrite1.0s (3.9%)

series1.3s (5.1%)

simplify129.0ms (0.5%)

prune1.1s (4.2%)

localize78.0ms (0.3%)

rewrite1.4s (5.4%)

series2.3s (9%)

simplify188.0ms (0.7%)

prune1.3s (5.1%)

regimes2.5s (9.8%)

bsearch40.0ms (0.2%)

simplify11.0ms (0%)

end0.0ms (0%)

sample6.1s (23.4%)

Profiling