Details

analyze55.0ms (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
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify183.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	110	7
1	110	7

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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cancel-sign-sub-inv_binary64_6925` `add-log-exp_binary64_6998`
2×	`*-un-lft-identity_binary64_6959` `add-cube-cbrt_binary64_6994` `add-sqr-sqrt_binary64_6981`
1×	`flip3--_binary64_6963` `add-exp-log_binary64_6997` `flip--_binary64_6934` `pow1_binary64_7020` `diff-log_binary64_7051` `sub-neg_binary64_6952` `add-cbrt-cube_binary64_6995`

Counts

1 → 14

Calls

1 calls:

5.0ms

(-.f64 (*.f64 x y) x)

series48.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

48.0ms

(-.f64 (*.f64 x y) x)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4878	166
1	4878	166

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

Compiler

Compiled 230 to 90 computations (60.9% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))

rewrite43.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_6981`
24×	`sqrt-prod_binary64_6975`
21×	`pow1_binary64_7020`
16×	`sqrt-div_binary64_6976`
15×	`*-un-lft-identity_binary64_6959` `add-cube-cbrt_binary64_6994`
10×	`pow1/2_binary64_7039` `sqrt-pow1_binary64_6977`
9×	`flip3--_binary64_6963` `flip--_binary64_6934`
8×	`swap-sqr_binary64_6926`
6×	`add-exp-log_binary64_6997` `associate-r_binary64_6899` `associate-l_binary64_6900` `add-log-exp_binary64_6998` `add-cbrt-cube_binary64_6995`
5×	`pow-prod-up_binary64_7029`
4×	`frac-times_binary64_6969` `unswap-sqr_binary64_6927` `rem-sqrt-square_binary64_6972`
3×	`pow-prod-down_binary64_7030` `pow-sqr_binary64_6932` `cancel-sign-sub-inv_binary64_6925`
2×	`associate-r/_binary64_6901` `associate-l/_binary64_6902`
1×	`*-commutative_binary64_6890` `sqr-abs_binary64_6974` `pow-plus_binary64_7022` `cbrt-unprod_binary64_6992` `diff-log_binary64_7051` `sub-neg_binary64_6952` `sqrt-unprod_binary64_6979` `prod-exp_binary64_7008` `pow2_binary64_7040` `rem-square-sqrt_binary64_6971`

Counts

4 → 102

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
5.0ms	(-.f64 (*.f64 x y) x)
5.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))

series214.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
55.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
51.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))
51.0ms	(-.f64 (*.f64 x y) x)

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5069	1468

prune81.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

Compiler

Compiled 1851 to 369 computations (80.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 y y)) x)
1.9b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
8.8b	(.f64 x (.f64 y y))
30.8b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))

rewrite47.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_6997` `add-cbrt-cube_binary64_6995`
15×	`add-sqr-sqrt_binary64_6981`
12×	`*-un-lft-identity_binary64_6959` `add-cube-cbrt_binary64_6994`
11×	`pow1_binary64_7020`
9×	`cancel-sign-sub-inv_binary64_6925`
6×	`associate-l_binary64_6900` `add-log-exp_binary64_6998`
5×	`cbrt-unprod_binary64_6992` `prod-exp_binary64_7008`
4×	`associate-r/_binary64_6901` `distribute-rgt-in_binary64_6909` `pow-prod-down_binary64_7030` `associate-r*_binary64_6899` `distribute-lft-in_binary64_6908`
3×	`flip3--_binary64_6963` `flip--_binary64_6934` `associate-/r*_binary64_6903` `sub-neg_binary64_6952` `times-frac_binary64_6965`
2×	`associate-/l/_binary64_6906` `*-commutative_binary64_6890` `unswap-sqr_binary64_6927` `associate-/r/_binary64_6905` `div-exp_binary64_7010` `cbrt-undiv_binary64_6993`
1×	`frac-2neg_binary64_6970` `div-inv_binary64_6956` `flip3-+_binary64_6962` `associate-/l*_binary64_6904` `flip-+_binary64_6933` `diff-log_binary64_7051` `clear-num_binary64_6958`

Counts

4 → 86

Calls

4 calls:

14.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))
11.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
7.0ms	(.f64 x (.f64 y y))
7.0ms	(-.f64 (.f64 x (.f64 y y)) x)

series459.0ms (16%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))
110.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
83.0ms	(-.f64 (.f64 x (.f64 y y)) x)
43.0ms	(.f64 x (.f64 y y))

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6135	1525

prune79.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

Compiler

Compiled 2102 to 410 computations (80.5% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.9b	(.f64 x (cbrt.f64 (pow.f64 (-.f64 (.f64 x (*.f64 y y)) x) 3)))
8.8b	(.f64 x (.f64 y y))
30.8b	(/.f64 (.f64 x (cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 y y)) x) 3))) (+.f64 x (.f64 x y)))
35.0b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 y y)) x) 3))

rewrite58.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_6990`
25×	`add-sqr-sqrt_binary64_6981`
16×	`add-exp-log_binary64_6997` `associate-r_binary64_6899`
15×	`*-un-lft-identity_binary64_6959` `add-cube-cbrt_binary64_6994`
14×	`add-cbrt-cube_binary64_6995`
11×	`pow1_binary64_7020`
7×	`unpow-prod-down_binary64_7038` `cube-prod_binary64_6987`
6×	`unswap-sqr_binary64_6927` `cube-div_binary64_6988` `cbrt-div_binary64_6991` `associate-l_binary64_6900`
5×	`cbrt-unprod_binary64_6992` `prod-exp_binary64_7008`
4×	`associate-*r/_binary64_6901` `pow-prod-down_binary64_7030` `add-log-exp_binary64_6998`
3×	`flip3--_binary64_6963` `flip--_binary64_6934` `sqr-pow_binary64_6931` `associate-/r*_binary64_6903` `times-frac_binary64_6965`
2×	`associate-/l/_binary64_6906` `*-commutative_binary64_6890` `cube-mult_binary64_6989` `unpow3_binary64_7025` `associate-/r/_binary64_6905` `div-exp_binary64_7010` `cbrt-undiv_binary64_6993`
1×	`rem-cbrt-cube_binary64_6983` `frac-2neg_binary64_6970` `div-inv_binary64_6956` `flip3-+_binary64_6962` `associate-/l*_binary64_6904` `flip-+_binary64_6933` `pow1/3_binary64_7041` `clear-num_binary64_6958`

Counts

4 → 103

Calls

4 calls:

16.0ms	(.f64 x (cbrt.f64 (pow.f64 (-.f64 (.f64 x (*.f64 y y)) x) 3)))
15.0ms	(/.f64 (.f64 x (cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 y y)) x) 3))) (+.f64 x (.f64 x y)))
9.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 y y)) x) 3))
7.0ms	(.f64 x (.f64 y y))

series695.0ms (24.2%)

Counts

4 → 12

Calls

4 calls:

275.0ms	(.f64 x (.f64 y y))
224.0ms	(/.f64 (.f64 x (cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 y y)) x) 3))) (+.f64 x (.f64 x y)))
112.0ms	(.f64 x (cbrt.f64 (pow.f64 (-.f64 (.f64 x (*.f64 y y)) x) 3)))
84.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 y y)) x) 3))

simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5030	1984

prune98.0ms (3.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Merged error: 0b

Counts

119 → 4

Compiler

Compiled 2597 to 643 computations (75.2% saved)

regimes37.0ms (1.3%)

Compiler: Compiled 167 to 109 computations (34.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample390.0ms (13.6%)

Algorithm

1×

intervals

Results

159.0ms	8000×	body	128	valid
1.0ms	73×	body	128	invalid

Compiler

Compiled 62 to 42 computations (32.3% saved)

Details

analyze55.0ms (1.9%)

sample12.0ms (0.4%)

simplify183.0ms (6.4%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series48.0ms (1.7%)

simplify91.0ms (3.2%)

prune17.0ms (0.6%)

localize6.0ms (0.2%)

rewrite43.0ms (1.5%)

series214.0ms (7.5%)

simplify84.0ms (2.9%)

prune81.0ms (2.8%)

localize10.0ms (0.3%)

rewrite47.0ms (1.6%)

series459.0ms (16%)

simplify75.0ms (2.6%)

prune79.0ms (2.7%)

localize16.0ms (0.6%)

rewrite58.0ms (2%)

series695.0ms (24.2%)

simplify56.0ms (2%)

prune98.0ms (3.4%)

regimes37.0ms (1.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample390.0ms (13.6%)

Profiling