Details

analyze122.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify170.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64_2185` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124`
14×	`add-cbrt-cube_binary64_2160`
10×	`add-cube-cbrt_binary64_2159` `associate-r_binary64_2064`
6×	`pow-prod-down_binary64_2195` `cancel-sign-sub-inv_binary64_2090` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157`
4×	`associate-*r/_binary64_2066`
3×	`pow-unpow_binary64_2201` `unpow-prod-down_binary64_2203`
2×	`difference-of-squares_binary64_2093` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-+r+_binary64_2056` `associate-l*_binary64_2065` `sub-neg_binary64_2117` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `pow-pow_binary64_2196` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `pow-exp_binary64_2192` `distribute-lft-out_binary64_2075` `sqr-pow_binary64_2096` `+-commutative_binary64_2054` `unpow2_binary64_2189` `pow-to-exp_binary64_2193`

Counts

4 → 87

Calls

8 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0ms	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))

series736.0ms (11.2%)

Counts

4 → 54

Calls

4 calls:

401.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
200.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
85.0ms	(.f64 (.f64 b b) (+.f64 3 a))
49.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2144 to 1700 computations (20.7% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune256.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Error

Counts

142 → 3

Compiler

Compiled 4466 to 2340 computations (47.6% saved)

localize23.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.0b	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
0.0b	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a)))))
0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
1.0b	(.f64 (.f64 b b) (+.f64 3 a))
3.9b	(.f64 (.f64 b b) (*.f64 a a))

rewrite65.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_2185`
32×	`associate-*r/_binary64_2066`
26×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
20×	`pow-prod-down_binary64_2195` `frac-add_binary64_2132`
14×	`prod-exp_binary64_2173` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
13×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
11×	`associate-r_binary64_2064`
8×	`add-cube-cbrt_binary64_2159`
6×	`cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
5×	`flip--_binary64_2099` `flip3--_binary64_2128`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-l*_binary64_2065`
2×	`difference-of-squares_binary64_2093` `associate-+r+_binary64_2056` `sub-neg_binary64_2117` `pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `associate-+l+_binary64_2057`

Counts

4 → 113

Calls

8 calls:

17.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
0.0ms	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))

series630.0ms (9.6%)

Counts

4 → 42

Calls

4 calls:

412.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
86.0ms	(.f64 (.f64 b b) (+.f64 3 a))
80.0ms	(.f64 (.f64 b b) (*.f64 a a))
51.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2000 to 1580 computations (21% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5027	5282

prune340.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	155	3	158

Error

Counts

158 → 3

Compiler

Compiled 7255 to 4133 computations (43% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

1.9b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.0b	(.f64 2 (.f64 b b))
0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.0b	(.f64 2 (.f64 b b))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
1.9b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162`
16×	`associate-l_binary64_2065` `add-cbrt-cube_binary64_2160`
14×	`pow1_binary64_2185`
12×	`associate-r/_binary64_2066` `-un-lft-identity_binary64_2124`
10×	`add-cube-cbrt_binary64_2159`
9×	`prod-exp_binary64_2173`
8×	`associate-r_binary64_2064`
7×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
6×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `add-log-exp_binary64_2163`
4×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152` `distribute-rgt-in_binary64_2074` `frac-add_binary64_2132` `distribute-lft-in_binary64_2073`
3×	`*-commutative_binary64_2055`
2×	`associate-+r+_binary64_2056` `sqr-pow_binary64_2096` `associate-+l+_binary64_2057`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `sum-log_binary64_2215` `pow-exp_binary64_2192` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `pow-to-exp_binary64_2193`

Counts

4 → 97

Calls

8 calls:

12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
11.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
11.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
6.0ms	(.f64 2 (.f64 b b))
0.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))

series542.0ms (8.3%)

Counts

4 → 33

Calls

4 calls:

320.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
137.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
57.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
28.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1077 to 954 computations (11.4% saved)

simplify105.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4941	2309
1	4941	2309

prune168.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Error

Counts

133 → 3

Compiler

Compiled 3286 to 2100 computations (36.1% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	1854	1309
1	1854	1309

regimes234.0ms (3.6%)

Compiler: Compiled 3468 to 2345 computations (32.4% saved)

bsearch0.0ms (0%)

regimes118.0ms (1.8%)

Compiler: Compiled 1312 to 1004 computations (23.5% saved)

bsearch0.0ms (0%)

regimes113.0ms (1.7%)

Compiler: Compiled 1213 to 935 computations (22.9% saved)

bsearch0.0ms (0%)

regimes102.0ms (1.6%)

Compiler: Compiled 496 to 407 computations (17.9% saved)

bsearch44.0ms (0.7%)

Steps

Iters	Range		Point
7	0.002593718922734915	0.05711394243750176	0.005744048479646246
7	-2.7215326199460134e-06	-1.6554979034914197e-08	-2.6670250584883396e-06

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes96.0ms (1.5%)

Compiler: Compiled 421 to 353 computations (16.2% saved)

bsearch45.0ms (0.7%)

Steps

Iters	Range		Point
7	0.002593718922734915	0.05711394243750176	0.012463999438901438
8	-1.6554979034914197e-08	-9.233325200499867e-13	-4.922910256473494e-09

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes83.0ms (1.3%)

Compiler: Compiled 283 to 254 computations (10.2% saved)

bsearch43.0ms (0.7%)

Steps

Iters	Range		Point
7	0.002593718922734915	0.05711394243750176	0.003177323774896446
8	-1.6554979034914197e-08	-9.233325200499867e-13	-1.614473810573396e-08

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes78.0ms (1.2%)

Compiler: Compiled 226 to 209 computations (7.5% saved)

bsearch44.0ms (0.7%)

Steps

Iters	Range		Point
7	0.002593718922734915	0.05711394243750176	0.002628048619920887
8	-1.6554979034914197e-08	-9.233325200499867e-13	-1.614473810573396e-08

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.5%)

Compiler: Compiled 130 to 134 computations (-3.1% saved)

bsearch0.0ms (0%)

regimes31.0ms (0.5%)

Compiler: Compiled 91 to 101 computations (-11% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.4%)

Compiler: Compiled 52 to 68 computations (-30.8% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.3%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch0.0ms (0%)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (76.7%)

Threshold costs 0.0b (76.7%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch16.0ms (0.2%)

Compiler: Compiled 394 to 267 computations (32.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	538
1	181	538

end0.0ms (0%)

sample1.8s (28%)

Algorithm

1×

intervals

Results

500.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1276 to 868 computations (32% saved)

Pareto

0.8980802772728957

Details

analyze122.0ms (1.9%)

sample26.0ms (0.4%)

simplify170.0ms (2.6%)

prune4.0ms (0.1%)

localize16.0ms (0.2%)

rewrite43.0ms (0.7%)

series736.0ms (11.2%)

simplify92.0ms (1.4%)

prune256.0ms (3.9%)

localize23.0ms (0.4%)

rewrite65.0ms (1%)

series630.0ms (9.6%)

simplify91.0ms (1.4%)

prune340.0ms (5.2%)

localize13.0ms (0.2%)

rewrite50.0ms (0.8%)

series542.0ms (8.3%)

simplify105.0ms (1.6%)

prune168.0ms (2.6%)

simplify93.0ms (1.4%)

regimes234.0ms (3.6%)

bsearch0.0ms (0%)

regimes118.0ms (1.8%)

bsearch0.0ms (0%)

regimes113.0ms (1.7%)

bsearch0.0ms (0%)

regimes102.0ms (1.6%)

bsearch44.0ms (0.7%)

regimes96.0ms (1.5%)

bsearch45.0ms (0.7%)

regimes83.0ms (1.3%)

bsearch43.0ms (0.7%)

regimes78.0ms (1.2%)

bsearch44.0ms (0.7%)

regimes34.0ms (0.5%)

bsearch0.0ms (0%)

regimes31.0ms (0.5%)

bsearch0.0ms (0%)

regimes25.0ms (0.4%)

bsearch0.0ms (0%)

regimes17.0ms (0.3%)

bsearch0.0ms (0%)

regimes13.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.8s (28%)

Profiling