Details

analyze667.0ms (18.7%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify95.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4860	19
1	4860	19

prune8.0ms (0.2%)

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: 2.6b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
4.3b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
5.2b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64`
7×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 85

Calls

4 calls:

11.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
5.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

series61.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
19.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
9.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5029	2017

prune83.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.5b

Counts

99 → 6

Compiler

Compiled 2015 to 1043 computations (48.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
0.0b	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
4.3b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
5.3b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
28×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

10.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
9.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
4.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))

series61.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
19.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
11.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
6.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4983	2196
1	4983	2196

prune94.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	115	7	122

Merged error: 0.5b

Counts

122 → 7

Compiler

Compiled 2436 to 1261 computations (48.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (.f64 (/.f64 y 2) (/.f64 t z))))))
0.6b	(/.f64 1 (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
3.8b	(.f64 y (/.f64 1 (-.f64 z (.f64 (/.f64 y 2) (/.f64 t z)))))
5.3b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
29×	`add-exp-log_binary64`
28×	`associate-r_binary64`
23×	`add-cbrt-cube_binary64`
16×	`associate-l_binary64`
9×	`pow1_binary64`
8×	`prod-exp_binary64` `div-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64`
4×	`associate-/r/_binary64` `div-inv_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `associate-r/_binary64` `rec-exp_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 132

Calls

4 calls:

14.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
9.0ms	(.f64 y (/.f64 1 (-.f64 z (.f64 (/.f64 y 2) (/.f64 t z)))))
6.0ms	(/.f64 1 (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
3.0ms	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (.f64 (/.f64 y 2) (/.f64 t z))))))

series62.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 y (/.f64 1 (-.f64 z (.f64 (/.f64 y 2) (/.f64 t z)))))
22.0ms	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (.f64 (/.f64 y 2) (/.f64 t z))))))
9.0ms	(/.f64 1 (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
6.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5002	2567

prune117.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	144	7	151

Merged error: 0.5b

Counts

151 → 7

Compiler

Compiled 3173 to 1776 computations (44% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3)
4.3b	(/.f64 y (cbrt.f64 (pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3)))
5.2b	(/.f64 (.f64 y t) (.f64 2 z))
32.3b	(cbrt.f64 (pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-prod_binary64`
70×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
58×	`times-frac_binary64`
46×	`add-cube-cbrt_binary64`
30×	`unpow-prod-down_binary64` `cube-prod_binary64`
20×	`associate-/r*_binary64`
19×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`sqr-pow_binary64` `cube-div_binary64` `unpow3_binary64` `cube-mult_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 170

Calls

4 calls:

11.0ms	(/.f64 y (cbrt.f64 (pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3)))
8.0ms	(cbrt.f64 (pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3))
7.0ms	(pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3)
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series67.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(/.f64 y (cbrt.f64 (pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3)))
23.0ms	(pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3)
10.0ms	(cbrt.f64 (pow.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) 3))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify82.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5831	4457

prune139.0ms (3.9%)

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

Merged error: 0.5b

Counts

189 → 7

Compiler

Compiled 4301 to 2328 computations (45.9% saved)

regimes291.0ms (8.2%)

Compiler: Compiled 852 to 704 computations (17.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	22
1	110	22

end0.0ms (0%)

sample1.3s (36.7%)

Algorithm

1×

intervals

Results

368.0ms

8000×

body

valid

Compiler

Compiled 176 to 147 computations (16.5% saved)

Details

analyze667.0ms (18.7%)

sample21.0ms (0.6%)

simplify95.0ms (2.7%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite32.0ms (0.9%)

series61.0ms (1.7%)

simplify70.0ms (2%)

prune83.0ms (2.3%)

localize11.0ms (0.3%)

rewrite31.0ms (0.9%)

series61.0ms (1.7%)

simplify75.0ms (2.1%)

prune94.0ms (2.6%)

localize10.0ms (0.3%)

rewrite37.0ms (1%)

series62.0ms (1.7%)

simplify77.0ms (2.2%)

prune117.0ms (3.3%)

localize12.0ms (0.3%)

rewrite40.0ms (1.1%)

series67.0ms (1.9%)

simplify82.0ms (2.3%)

prune139.0ms (3.9%)

regimes291.0ms (8.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (36.7%)

Profiling