Details

analyze475.0ms (3.9%)

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)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	133×	body	256	valid
8.0ms	282×	pre	128	true
7.0ms	46×	body	512	valid
4.0ms	77×	body	128	valid
1.0ms	26×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify316.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

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

52.3b

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
27.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite140.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

49.3b

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)

series679.0ms (5.6%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

192.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
157.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
98.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5207	3272

prune155.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Error

0.2b

Counts

147 → 6

Compiler

Compiled 3318 to 1768 computations (46.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))
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))

rewrite640.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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×	`cube-prod_binary64_2152` `unswap-sqr_binary64_2092` `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` `unpow3_binary64_2190` `cube-mult_binary64_2154` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/l*_binary64_2069`
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))
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 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series998.0ms (8.2%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

326.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
283.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
206.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
123.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5089	3808

prune570.0ms (4.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	234	7	241

Error

0.2b

Counts

241 → 7

Compiler

Compiled 10665 to 6312 computations (40.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite483.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

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 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8492 to 4963 computations (41.6% saved)

series684.0ms (5.6%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

335.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
111.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
98.0ms	(pow.f64 (*.f64 a c) 3)
87.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2730 computations (31.8% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5071	1994

prune481.0ms (4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	182	7	189

Error

0.2b

Counts

189 → 7

Compiler

Compiled 9373 to 5403 computations (42.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
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))
18.8b	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

rewrite565.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

143×	`add-exp-log_binary64_2162`
63×	`prod-exp_binary64_2173`
60×	`div-exp_binary64_2175`
44×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192`
38×	`times-frac_binary64_2130`
27×	`add-cbrt-cube_binary64_2160`
26×	`associate-/r*_binary64_2068`
23×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
21×	`unpow-prod-down_binary64_2203`
17×	`log-pow_binary64_2213`
16×	`exp-prod_binary64_2176`
9×	`cube-prod_binary64_2152`
8×	`cbrt-undiv_binary64_2158`
7×	`sqr-pow_binary64_2096` `cbrt-unprod_binary64_2157`
5×	`pow1_binary64_2185`
4×	`div-inv_binary64_2121` `add-log-exp_binary64_2163`
3×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `log-prod_binary64_2210` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l*_binary64_2069`
1×	`rem-log-exp_binary64_2165`

Counts

4 → 181

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))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
6.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))

Compiler

Compiled 8991 to 5475 computations (39.1% saved)

series1.3s (10.7%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

423.0ms	(log.f64 (exp.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))
330.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
273.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
212.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

Compiler

Compiled 4620 to 3421 computations (26% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5082	3517

prune569.0ms (4.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	217	7	224

Error

0.2b

Counts

224 → 7

Compiler

Compiled 9963 to 6049 computations (39.3% saved)

regimes556.0ms (4.6%)

Accuracy

Total 1.3b remaining (87.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8680 to 6190 computations (28.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample3.1s (25.2%)

Algorithm

1×

intervals

Results

361.0ms	3726×	body	256	valid
265.0ms	8827×	pre	128	true
220.0ms	1520×	body	512	valid
144.0ms	2754×	body	128	valid
38.0ms	827×	body	128	nan

Compiler

Compiled 2232 to 1597 computations (28.4% saved)

Details

analyze475.0ms (3.9%)

sample48.0ms (0.4%)

simplify316.0ms (2.6%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite140.0ms (1.2%)

series679.0ms (5.6%)

simplify74.0ms (0.6%)

prune155.0ms (1.3%)

localize25.0ms (0.2%)

rewrite640.0ms (5.3%)

series998.0ms (8.2%)

simplify93.0ms (0.8%)

prune570.0ms (4.7%)

localize27.0ms (0.2%)

rewrite483.0ms (4%)

series684.0ms (5.6%)

simplify70.0ms (0.6%)

prune481.0ms (4%)

localize29.0ms (0.2%)

rewrite565.0ms (4.6%)

series1.3s (10.7%)

simplify87.0ms (0.7%)

prune569.0ms (4.7%)

regimes556.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (25.2%)

Profiling