Details

analyze263.0ms (2.7%)

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)

sample35.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	286×	pre	128	true
8.0ms	86×	body	256	valid
8.0ms	170×	body	128	valid
1.0ms	30×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify404.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (307.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (0.1%)

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

43.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
37.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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` `associate-/l*_binary64_2069` `sqrt-prod_binary64_2140` `times-frac_binary64_2130`
5×	`pow1_binary64_2185`
4×	`flip--_binary64_2099` `flip3--_binary64_2128` `cancel-sign-sub-inv_binary64_2090`
3×	`distribute-lft-out--_binary64_2076`
2×	`cbrt-undiv_binary64_2158` `sqrt-div_binary64_2141` `diff-log_binary64_2216` `sub-neg_binary64_2117` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `sqrt-pow1_binary64_2142` `associate-/r*_binary64_2068` `rem-sqrt-square_binary64_2137` `prod-exp_binary64_2173` `pow1/2_binary64_2204` `div-sub_binary64_2129` `div-inv_binary64_2121` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.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)))

series619.0ms (6.4%)

Counts

4 → 72

Calls

4 calls:

202.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
163.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
149.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune192.0ms (2%)

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 3483 to 1981 computations (43.1% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite66.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-exp-log_binary64_2162`
72×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
50×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193`
40×	`add-sqr-sqrt_binary64_2146`
31×	`unpow-prod-down_binary64_2203`
29×	`add-cbrt-cube_binary64_2160`
26×	`associate-/r*_binary64_2068` `times-frac_binary64_2130`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
15×	`sqr-pow_binary64_2096`
12×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065` `cube-prod_binary64_2152`
8×	`cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `clear-num_binary64_2123` `cube-mult_binary64_2154` `associate-/l*_binary64_2069` `div-inv_binary64_2121` `frac-2neg_binary64_2135`
1×	`*-commutative_binary64_2055`

Counts

4 → 202

Calls

4 calls:

11.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
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))

series940.0ms (9.7%)

Counts

4 → 33

Calls

4 calls:

327.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
285.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
208.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
120.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 2706 to 2082 computations (23.1% saved)

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5089	3808

prune580.0ms (6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	233	13	246

Error

0.5b

Counts

246 → 13

Compiler

Compiled 10873 to 6470 computations (40.5% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`add-exp-log_binary64_2162`
63×	`times-frac_binary64_2130`
54×	`unpow-prod-down_binary64_2203`
51×	`add-sqr-sqrt_binary64_2146`
46×	`pow-exp_binary64_2192`
42×	`pow-to-exp_binary64_2193` `div-exp_binary64_2175`
40×	`prod-exp_binary64_2173`
39×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
28×	`sqr-pow_binary64_2096`
16×	`add-cbrt-cube_binary64_2160`
14×	`associate-/r*_binary64_2068`
9×	`unpow3_binary64_2190` `unswap-sqr_binary64_2092` `cube-mult_binary64_2154` `associate-/l*_binary64_2069` `cube-prod_binary64_2152`
7×	`pow1_binary64_2185` `associate-l_binary64_2065` `associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163`
3×	`cbrt-undiv_binary64_2158` `pow-unpow_binary64_2201` `cbrt-unprod_binary64_2157`
2×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `pow-pow_binary64_2196` `div-inv_binary64_2121` `frac-2neg_binary64_2135` `rem-cube-cbrt_binary64_2147`
1×	`*-commutative_binary64_2055`

Counts

4 → 215

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

series858.0ms (8.9%)

Counts

4 → 30

Calls

4 calls:

345.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
302.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
117.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
93.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3000 to 2250 computations (25% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4943	3858
1	4943	3858

prune686.0ms (7.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	244	14	258

Error

0.5b

Counts

258 → 14

Compiler

Compiled 13412 to 7688 computations (42.7% saved)

localize30.0ms (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 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
21.0b	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-exp-log_binary64_2162`
45×	`prod-exp_binary64_2173`
40×	`add-sqr-sqrt_binary64_2146`
39×	`div-exp_binary64_2175`
37×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193`
28×	`unpow-prod-down_binary64_2203`
26×	`times-frac_binary64_2130`
23×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
20×	`add-cbrt-cube_binary64_2160`
19×	`associate-/r*_binary64_2068`
14×	`sqr-pow_binary64_2096`
12×	`unswap-sqr_binary64_2092` `log-pow_binary64_2213` `associate-l_binary64_2065` `cube-prod_binary64_2152`
11×	`exp-prod_binary64_2176`
7×	`associate-r_binary64_2064`
5×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `log-prod_binary64_2210` `div-inv_binary64_2121`
2×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `frac-2neg_binary64_2135`
1×	`rem-log-exp_binary64_2165` `*-commutative_binary64_2055`

Counts

4 → 176

Calls

4 calls:

9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
6.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))

series1.4s (14.4%)

Counts

4 → 33

Calls

4 calls:

722.0ms	(log.f64 (exp.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
353.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
200.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 2826 to 2202 computations (22.1% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5157	3318

prune515.0ms (5.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	209	14	223

Error

0.5b

Counts

223 → 14

Compiler

Compiled 9736 to 5882 computations (39.6% saved)

regimes389.0ms (4%)

Accuracy

Total 2.6b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 5412 to 4010 computations (25.9% 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%)

sample2.1s (22.1%)

Algorithm

1×

intervals

Results

275.0ms	2905×	body	256	valid
260.0ms	8914×	pre	128	true
248.0ms	5095×	body	128	valid
41.0ms	914×	body	128	nan

Compiler

Compiled 1414 to 1049 computations (25.8% saved)

Details

analyze263.0ms (2.7%)

sample35.0ms (0.4%)

simplify404.0ms (4.2%)

prune7.0ms (0.1%)

localize11.0ms (0.1%)

rewrite36.0ms (0.4%)

series619.0ms (6.4%)

simplify73.0ms (0.8%)

prune192.0ms (2%)

localize26.0ms (0.3%)

rewrite66.0ms (0.7%)

series940.0ms (9.7%)

simplify91.0ms (0.9%)

prune580.0ms (6%)

localize34.0ms (0.3%)

rewrite60.0ms (0.6%)

series858.0ms (8.9%)

simplify99.0ms (1%)

prune686.0ms (7.1%)

localize30.0ms (0.3%)

rewrite57.0ms (0.6%)

series1.4s (14.4%)

simplify69.0ms (0.7%)

prune515.0ms (5.3%)

regimes389.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (22.1%)

Profiling