Details

analyze673.0ms (15.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	85×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify221.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	665	19
1	665	19

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 8.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cancel-sign-sub-inv_binary64_15869`
11×	`add-sqr-sqrt_binary64_15925`
9×	`*-un-lft-identity_binary64_15903` `add-cube-cbrt_binary64_15938`
8×	`add-exp-log_binary64_15941` `distribute-rgt-in_binary64_15853` `distribute-lft-in_binary64_15852` `add-cbrt-cube_binary64_15939` `associate--r+_binary64_15839` `pow1_binary64_15964`
7×	`add-log-exp_binary64_15942`
6×	`sub-neg_binary64_15896`
4×	`associate-r_binary64_15843`
3×	`cbrt-unprod_binary64_15936` `pow-prod-down_binary64_15974` `flip--_binary64_15878` `prod-exp_binary64_15952` `flip3--_binary64_15907`
2×	`associate-*r/_binary64_15845` `diff-log_binary64_15995` `difference-of-squares_binary64_15872`
1×	`associate-l_binary64_15844` `*-commutative_binary64_15834`

Counts

3 → 64

Calls

3 calls:

11.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
6.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.0ms	(-.f64 (*.f64 z z) t)

series260.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

119.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
111.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
30.0ms	(-.f64 (*.f64 z z) t)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4967	1145
1	4967	1145

prune129.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 4.0b

Counts

74 → 6

Compiler

Compiled 2640 to 1426 computations (46% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
7.3b	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`distribute-rgt-in_binary64_15853` `distribute-lft-in_binary64_15852`
28×	`cancel-sign-sub-inv_binary64_15869`
16×	`associate--r+_binary64_15839`
14×	`add-sqr-sqrt_binary64_15925`
13×	`*-un-lft-identity_binary64_15903` `add-cube-cbrt_binary64_15938`
10×	`sub-neg_binary64_15896`
8×	`add-exp-log_binary64_15941` `add-cbrt-cube_binary64_15939` `pow1_binary64_15964`
7×	`add-log-exp_binary64_15942`
4×	`associate-*r/_binary64_15845`
3×	`cbrt-unprod_binary64_15936` `pow-prod-down_binary64_15974` `associate-l_binary64_15844` `flip--_binary64_15878` `prod-exp_binary64_15952` `flip3--_binary64_15907`
2×	`diff-log_binary64_15995`
1×	`difference-of-squares_binary64_15872` `-commutative_binary64_15834` `associate-r*_binary64_15843`

Counts

3 → 79

Calls

3 calls:

11.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
7.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
5.0ms	(-.f64 (*.f64 z z) t)

series260.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
107.0ms	(.f64 y (.f64 4 (-.f64 (*.f64 z z) t)))
30.0ms	(-.f64 (*.f64 z z) t)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	1389
1	4967	1389

prune91.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Merged error: 4.0b

Counts

94 → 6

Compiler

Compiled 2015 to 940 computations (53.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.1b	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_15941` `add-cbrt-cube_binary64_15939` `pow1_binary64_15964`
18×	`cancel-sign-sub-inv_binary64_15869`
16×	`add-sqr-sqrt_binary64_15925`
13×	`*-un-lft-identity_binary64_15903` `add-cube-cbrt_binary64_15938`
12×	`distribute-rgt-in_binary64_15853` `distribute-lft-in_binary64_15852` `associate-r_binary64_15843`
9×	`cbrt-unprod_binary64_15936` `pow-prod-down_binary64_15974` `prod-exp_binary64_15952`
8×	`associate-*r/_binary64_15845`
6×	`sub-neg_binary64_15896`
4×	`flip--_binary64_15878` `flip3--_binary64_15907` `add-log-exp_binary64_15942`
3×	`associate-l_binary64_15844` `difference-of-squares_binary64_15872` `*-commutative_binary64_15834`
2×	`cbrt-div_binary64_15935`
1×	`pow1/3_binary64_15985` `cbrt-prod_binary64_15934`

Counts

4 → 98

Calls

4 calls:

15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
11.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
11.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
8.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))

series552.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
104.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
100.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
98.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5008	1634

prune162.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Merged error: 4.0b

Counts

116 → 6

Compiler

Compiled 4501 to 2017 computations (55.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (sqrt.f64 t))
0.1b	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
0.3b	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_15941` `add-cbrt-cube_binary64_15939` `pow1_binary64_15964`
15×	`*-un-lft-identity_binary64_15903`
13×	`add-sqr-sqrt_binary64_15925`
12×	`cancel-sign-sub-inv_binary64_15869`
10×	`associate-r/_binary64_15845` `associate-r*_binary64_15843`
9×	`cbrt-unprod_binary64_15936` `pow-prod-down_binary64_15974` `add-cube-cbrt_binary64_15938` `prod-exp_binary64_15952`
8×	`distribute-rgt-in_binary64_15853` `distribute-lft-in_binary64_15852`
7×	`sqrt-prod_binary64_15919`
5×	`flip3-+_binary64_15906` `flip-+_binary64_15877` `add-log-exp_binary64_15942`
4×	`frac-times_binary64_15913`
3×	`flip--_binary64_15878` `flip3--_binary64_15907`
2×	`associate-l_binary64_15844` `associate-l/_binary64_15846` `difference-of-squares_binary64_15872` `-commutative_binary64_15834` `distribute-lft-out_binary64_15854` `sub-neg_binary64_15896`
1×	`distribute-lft-out--_binary64_15855` `sum-log_binary64_15994` `+-commutative_binary64_15833`

Counts

3 → 81

Calls

3 calls:

17.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
9.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
4.0ms	(+.f64 z (sqrt.f64 t))

series299.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

189.0ms	(.f64 (.f64 (*.f64 y 4) (+.f64 z (sqrt.f64 t))) (-.f64 z (sqrt.f64 t)))
78.0ms	(.f64 (.f64 y 4) (+.f64 z (sqrt.f64 t)))
32.0ms	(+.f64 z (sqrt.f64 t))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5087	1700

prune112.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	7	96

Merged error: 4.0b

Counts

96 → 7

Compiler

Compiled 2680 to 1184 computations (55.8% saved)

regimes248.0ms (5.6%)

Compiler: Compiled 1889 to 1339 computations (29.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	323	54
1	323	54

end0.0ms (0%)

sample918.0ms (20.6%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	128	valid
124.0ms	3094×	body	128	invalid

Compiler

Compiled 222 to 154 computations (30.6% saved)

Details

analyze673.0ms (15.1%)

sample24.0ms (0.5%)

simplify221.0ms (5%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite27.0ms (0.6%)

series260.0ms (5.8%)

simplify82.0ms (1.8%)

prune129.0ms (2.9%)

localize9.0ms (0.2%)

rewrite31.0ms (0.7%)

series260.0ms (5.8%)

simplify67.0ms (1.5%)

prune91.0ms (2%)

localize14.0ms (0.3%)

rewrite58.0ms (1.3%)

series552.0ms (12.4%)

simplify67.0ms (1.5%)

prune162.0ms (3.6%)

localize11.0ms (0.2%)

rewrite42.0ms (0.9%)

series299.0ms (6.7%)

simplify78.0ms (1.8%)

prune112.0ms (2.5%)

regimes248.0ms (5.6%)

bsearch1.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample918.0ms (20.6%)

Profiling