Details

analyze307.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
0	2	2
1	2	2

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune3.0ms (0%)

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)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.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)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite179.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-sqr-sqrt_binary64_2146` `*-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` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cancel-sign-sub-inv_binary64_2090`
4×	`associate-*r/_binary64_2066`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201`
2×	`unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-l_binary64_2065` `*-commutative_binary64_2055` `sub-neg_binary64_2117` `difference-of-squares_binary64_2093` `associate-+r+_binary64_2056`
1×	`distribute-lft-out_binary64_2075` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 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)))))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series809.0ms (8.5%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

392.0ms	(+.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)))))
198.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
89.0ms	(.f64 (.f64 b b) (+.f64 3 a))
51.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune206.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Error

0.0b

Counts

142 → 4

Compiler

Compiled 4573 to 2403 computations (47.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 a (.f64 a (*.f64 b b)))
0.6b	(.f64 a (.f64 b b))
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite211.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
16×	`add-sqr-sqrt_binary64_2146`
15×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-un-lft-identity_binary64_2124`
12×	`associate-r_binary64_2064`
10×	`add-cube-cbrt_binary64_2159`
8×	`associate-l_binary64_2065`
6×	`cancel-sign-sub-inv_binary64_2090`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`add-log-exp_binary64_2163` `associate-r/_binary64_2066` `-commutative_binary64_2055`
3×	`unswap-sqr_binary64_2092`
2×	`sub-neg_binary64_2117` `difference-of-squares_binary64_2093`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series316.0ms (3.3%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

84.0ms	(.f64 (.f64 b b) (+.f64 3 a))
76.0ms	(.f64 a (.f64 a (*.f64 b b)))
62.0ms	(.f64 a (.f64 b b))
53.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2783 to 1984 computations (28.7% saved)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4929	1229
1	4929	1229

prune208.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Error

0.0b

Counts

127 → 4

Compiler

Compiled 4984 to 2811 computations (43.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (+.f64 a 3) (.f64 b b))
7.6b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
7.6b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
7.6b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

rewrite310.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`*-un-lft-identity_binary64_2124`
9×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `cbrt-prod_binary64_2155` `add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159`
6×	`cbrt-div_binary64_2156`
4×	`add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-l_binary64_2065`
3×	`pow1/3_binary64_2206` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`associate-*l/_binary64_2067`
1×	`unswap-sqr_binary64_2092` `distribute-lft-out_binary64_2075` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
8.0ms	(.f64 (+.f64 a 3) (.f64 b b))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

Compiler

Compiled 6718 to 3348 computations (50.2% saved)

series2.3s (24.1%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

660.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
653.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
639.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
100.0ms	(.f64 (+.f64 a 3) (.f64 b b))

Compiler

Compiled 14646 to 9715 computations (33.7% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4989	4704
1	4989	4704

prune500.0ms (5.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	121	4	125

Error

0.0b

Counts

125 → 4

Compiler

Compiled 11434 to 5967 computations (47.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) (+.f64 (*.f64 b b) 12))) 1)

0.0b

(*.f64 a (+.f64 4 (*.f64 2 a)))

0.9b

(*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) (+.f64 (*.f64 b b) 12)))

rewrite138.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`associate-*r/_binary64_2066`
10×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `add-sqr-sqrt_binary64_2146`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-r_binary64_2064`
5×	`add-log-exp_binary64_2163`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-add_binary64_2132` `associate-l_binary64_2065`
3×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cancel-sign-sub-inv_binary64_2090`
2×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `associate--l+_binary64_2061`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099`

Counts

3 → 65

Calls

3 calls:

16.0ms

(-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) (+.f64 (*.f64 b b) 12))) 1)

14.0ms

(*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) (+.f64 (*.f64 b b) 12)))

6.0ms

(*.f64 a (+.f64 4 (*.f64 2 a)))

Compiler

Compiled 2213 to 1377 computations (37.8% saved)

series707.0ms (7.4%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

372.0ms

(-.f64 (*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) (+.f64 (*.f64 b b) 12))) 1)

239.0ms

(*.f64 (*.f64 b b) (+.f64 (*.f64 a (+.f64 4 (*.f64 2 a))) (+.f64 (*.f64 b b) 12)))

54.0ms

(*.f64 a (+.f64 4 (*.f64 2 a)))

Compiler

Compiled 1901 to 1571 computations (17.4% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4979	2291
1	4979	2291

prune120.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Error

0.0b

Counts

108 → 5

Compiler

Compiled 2478 to 1597 computations (35.6% saved)

regimes653.0ms (6.8%)

Accuracy

Total 0.0b remaining (77.6%)

Threshold costs 0.0b (77.6%)

Compiler

Compiled 10729 to 7052 computations (34.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	55
1	57	55

end0.0ms (0%)

sample2.1s (21.6%)

Algorithm

1×

intervals

Results

510.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1871 to 1242 computations (33.6% saved)

Details

analyze307.0ms (3.2%)

sample25.0ms (0.3%)

simplify78.0ms (0.8%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite179.0ms (1.9%)

series809.0ms (8.5%)

simplify96.0ms (1%)

prune206.0ms (2.2%)

localize21.0ms (0.2%)

rewrite211.0ms (2.2%)

series316.0ms (3.3%)

simplify89.0ms (0.9%)

prune208.0ms (2.2%)

localize22.0ms (0.2%)

rewrite310.0ms (3.3%)

series2.3s (24.1%)

simplify85.0ms (0.9%)

prune500.0ms (5.2%)

localize10.0ms (0.1%)

rewrite138.0ms (1.4%)

series707.0ms (7.4%)

simplify71.0ms (0.7%)

prune120.0ms (1.3%)

regimes653.0ms (6.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (21.6%)

Profiling