Details

analyze302.0ms (9.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify125.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

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: 2.8b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
2.7b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_21242`
9×	`associate-l_binary64_21161` `*-un-lft-identity_binary64_21220`
6×	`associate-r_binary64_21160` `pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `add-cube-cbrt_binary64_21255`
2×	`distribute-lft-in_binary64_21169` `flip3--_binary64_21224` `add-log-exp_binary64_21259` `cancel-sign-sub-inv_binary64_21186` `associate-l/_binary64_21163` `sub-neg_binary64_21213` `-commutative_binary64_21151` `associate-*r/_binary64_21162` `prod-exp_binary64_21269` `flip--_binary64_21195` `distribute-rgt-in_binary64_21170` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `difference-of-squares_binary64_21189` `unswap-sqr_binary64_21188`
1×	`distribute-lft-out--_binary64_21172`

Counts

2 → 47

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

series58.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
19.0ms	(*.f64 (-.f64 1 y) z)

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4963	645
1	4963	645

prune62.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	7	54

Merged error: 2.7b

Counts

54 → 7

Compiler

Compiled 847 to 589 computations (30.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
0.0b	(-.f64 (*.f64 y z) z)
2.7b	(.f64 x (-.f64 (.f64 y z) z))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cancel-sign-sub-inv_binary64_21186`
12×	`*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
10×	`add-cube-cbrt_binary64_21255`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `distribute-rgt-in_binary64_21170`
7×	`add-log-exp_binary64_21259`
5×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `sub-neg_binary64_21213`
4×	`associate-r_binary64_21160`
3×	`associate-l_binary64_21161`
2×	`distribute-rgt-out--_binary64_21174` `flip3--_binary64_21224` `associate-*r/_binary64_21162` `flip--_binary64_21195`
1×	`flip3-+_binary64_21223` `*-commutative_binary64_21151` `diff-log_binary64_21312` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `cbrt-unprod_binary64_21253` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`

Counts

3 → 63

Calls

3 calls:

8.0ms	(.f64 x (-.f64 (.f64 y z) z))
5.0ms	(-.f64 (*.f64 y z) z)
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))

series115.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(+.f64 x (.f64 x (-.f64 (.f64 y z) z)))
46.0ms	(.f64 x (-.f64 (.f64 y z) z))
21.0ms	(-.f64 (*.f64 y z) z)

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5248	899

prune50.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

Compiler

Compiled 1044 to 258 computations (75.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))
3.1b	(.f64 (.f64 x z) (-.f64 y 1))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_21186`
11×	`add-sqr-sqrt_binary64_21242`
10×	`*-un-lft-identity_binary64_21220`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `distribute-rgt-in_binary64_21170`
7×	`associate-r_binary64_21160` `pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `add-cube-cbrt_binary64_21255`
4×	`add-log-exp_binary64_21259` `sub-neg_binary64_21213`
3×	`prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253`
2×	`associate-*r/_binary64_21162` `difference-of-squares_binary64_21189`
1×	`flip3--_binary64_21224` `flip3-+_binary64_21223` `-commutative_binary64_21151` `flip--_binary64_21195` `difference-of-sqr-1_binary64_21190` `sum-log_binary64_21311` `associate-l*_binary64_21161` `distribute-lft-out--_binary64_21172` `flip-+_binary64_21194` `+-commutative_binary64_21150`

Counts

2 → 51

Calls

2 calls:

8.0ms	(.f64 (.f64 x z) (-.f64 y 1))
4.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))

series79.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(.f64 (.f64 x z) (-.f64 y 1))
37.0ms	(+.f64 x (.f64 (.f64 x z) (-.f64 y 1)))

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5063	744

prune44.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Merged error: 0b

Counts

61 → 6

Compiler

Compiled 875 to 432 computations (50.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 y 1))
0.2b	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
0.6b	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
2.6b	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))

rewrite80.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`cbrt-div_binary64_21252`
54×	`cbrt-prod_binary64_21251`
51×	`add-sqr-sqrt_binary64_21242`
44×	`associate-*r/_binary64_21162`
41×	`pow1_binary64_21281` `*-un-lft-identity_binary64_21220`
40×	`flip3--_binary64_21224` `flip--_binary64_21195`
36×	`frac-times_binary64_21230` `add-exp-log_binary64_21258`
23×	`pow-prod-down_binary64_21291`
22×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
21×	`associate-r_binary64_21160` `add-cbrt-cube_binary64_21256`
18×	`associate-*l/_binary64_21163`
15×	`add-cube-cbrt_binary64_21255`
14×	`swap-sqr_binary64_21187` `difference-of-squares_binary64_21189`
12×	`associate-l_binary64_21161`
8×	`difference-of-sqr-1_binary64_21190` `distribute-lft-out--_binary64_21172`
7×	`pow1/3_binary64_21302`
4×	`add-log-exp_binary64_21259` `unswap-sqr_binary64_21188`
3×	`*-commutative_binary64_21151`
2×	`pow-sqr_binary64_21193` `pow-prod-up_binary64_21290`
1×	`pow2_binary64_21301` `pow-plus_binary64_21283`

Counts

4 → 171

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
18.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
15.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
3.0ms	(cbrt.f64 (-.f64 y 1))

series268.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(.f64 (.f64 x z) (*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1))))
70.0ms	(.f64 (.f64 (.f64 x z) (.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))) (cbrt.f64 (-.f64 y 1)))
39.0ms	(*.f64 (cbrt.f64 (-.f64 y 1)) (cbrt.f64 (-.f64 y 1)))
31.0ms	(cbrt.f64 (-.f64 y 1))

simplify106.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4949	3942
1	4949	3942

prune241.0ms (7.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	183	6	189

Merged error: 0b

Counts

189 → 6

Compiler

Compiled 4700 to 3126 computations (33.5% saved)

regimes436.0ms (13.7%)

Compiler: Compiled 3666 to 3196 computations (12.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 6 computations (-20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	52
1	66	52

end0.0ms (0%)

sample923.0ms (29%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	128	valid
19.0ms	668×	body	128	invalid

Compiler

Compiled 509 to 425 computations (16.5% saved)

Details

analyze302.0ms (9.5%)

sample16.0ms (0.5%)

simplify125.0ms (3.9%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series58.0ms (1.8%)

simplify66.0ms (2.1%)

prune62.0ms (1.9%)

localize6.0ms (0.2%)

rewrite21.0ms (0.7%)

series115.0ms (3.6%)

simplify65.0ms (2%)

prune50.0ms (1.6%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series79.0ms (2.5%)

simplify62.0ms (1.9%)

prune44.0ms (1.4%)

localize10.0ms (0.3%)

rewrite80.0ms (2.5%)

series268.0ms (8.4%)

simplify106.0ms (3.3%)

prune241.0ms (7.6%)

regimes436.0ms (13.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample923.0ms (29%)

Profiling