Details

analyze829.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4942	175
1	4942	175
0	4	4
1	4	4

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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample55.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
10.0ms	195×	body	128	invalid
6.0ms	131×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify173.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	4864	25
1	4864	25

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.3b	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))

rewrite119.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-exp-log_binary64_21258`
14×	`associate-r_binary64_21160`
13×	`add-sqr-sqrt_binary64_21242`
10×	`prod-exp_binary64_21269` `add-cbrt-cube_binary64_21256` `add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
7×	`sqrt-prod_binary64_21236`
6×	`pow1_binary64_21281` `associate-*l/_binary64_21163` `unpow-prod-down_binary64_21299`
4×	`cbrt-unprod_binary64_21253` `associate-l_binary64_21161` `sqrt-pow1_binary64_21238`
3×	`add-log-exp_binary64_21259` `exp-prod_binary64_21272`
2×	`flip3--_binary64_21224` `flip--_binary64_21195` `*-commutative_binary64_21151` `pow-to-exp_binary64_21289` `pow-exp_binary64_21288`
1×	`pow-prod-down_binary64_21291` `unswap-sqr_binary64_21188` `sqr-pow_binary64_21192` `pow1/2_binary64_21300` `rem-sqrt-square_binary64_21233`

Counts

3 → 66

Calls

3 calls:

12.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
12.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 1633 to 911 computations (44.2% saved)

series982.0ms (8%)

Error

0.1b

Counts

3 → 42

Calls

3 calls:

684.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
222.0ms	(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))
26.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2714 to 1956 computations (27.9% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4965	2216
1	4965	2216

prune130.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Error

0.0b

Counts

109 → 9

Compiler

Compiled 2445 to 1413 computations (42.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 t))
0.0b	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.3b	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
0.5b	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))

rewrite164.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-exp-log_binary64_21258`
22×	`prod-exp_binary64_21269`
21×	`add-sqr-sqrt_binary64_21242`
20×	`add-cbrt-cube_binary64_21256`
19×	`associate-r_binary64_21160`
16×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
13×	`sqrt-prod_binary64_21236`
12×	`pow1_binary64_21281`
10×	`cbrt-unprod_binary64_21253`
8×	`associate-l_binary64_21161`
6×	`associate-r/_binary64_21162` `associate-l/_binary64_21163` `cancel-sign-sub-inv_binary64_21186` `unpow-prod-down_binary64_21299`
4×	`pow-prod-down_binary64_21291` `add-log-exp_binary64_21259` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169` `sqrt-pow1_binary64_21238`
3×	`flip3--_binary64_21224` `flip--_binary64_21195` `*-commutative_binary64_21151` `pow-to-exp_binary64_21289` `pow-exp_binary64_21288` `exp-prod_binary64_21272`
2×	`unswap-sqr_binary64_21188` `sub-neg_binary64_21213`
1×	`sqr-pow_binary64_21192` `pow1/2_binary64_21300` `rem-sqrt-square_binary64_21233`

Counts

4 → 104

Calls

4 calls:

14.0ms	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
10.0ms	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))
9.0ms	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
2.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 2671 to 1389 computations (48% saved)

series1.1s (9.3%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

681.0ms	(.f64 (.f64 (.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 2)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
225.0ms	(.f64 (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 2))
146.0ms	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
25.0ms	(sqrt.f64 (exp.f64 t))

Compiler

Compiled 3544 to 2557 computations (27.8% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5214	3120

prune170.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	161	9	170

Error

0.0b

Counts

170 → 9

Compiler

Compiled 3570 to 1902 computations (46.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
0.2b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))

rewrite254.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`add-exp-log_binary64_21258`
40×	`prod-exp_binary64_21269`
34×	`add-cbrt-cube_binary64_21256`
29×	`associate-r_binary64_21160`
27×	`sqrt-prod_binary64_21236`
22×	`add-sqr-sqrt_binary64_21242`
20×	`pow1_binary64_21281` `cbrt-unprod_binary64_21253`
16×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
14×	`associate-*l/_binary64_21163`
11×	`associate-l_binary64_21161`
10×	`pow-prod-down_binary64_21291`
6×	`associate-*r/_binary64_21162` `unpow-prod-down_binary64_21299`
4×	`add-log-exp_binary64_21259` `flip3--_binary64_21224` `flip--_binary64_21195` `*-commutative_binary64_21151` `pow-to-exp_binary64_21289` `pow-exp_binary64_21288`
3×	`unswap-sqr_binary64_21188`
1×	`sqr-pow_binary64_21192`

Counts

4 → 117

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
19.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
11.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))
9.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 3835 to 2422 computations (36.8% saved)

series1.4s (11.5%)

Error

Counts

4 → 63

Calls

4 calls:

678.0ms	(.f64 (.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))
252.0ms	(.f64 (sqrt.f64 z) (.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2))))
237.0ms	(.f64 (.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 (sqrt.f64 2)))
161.0ms	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 4241 to 3244 computations (23.5% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4980	3946
1	4980	3946

prune238.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	181	8	189

Error

Counts

189 → 8

Compiler

Compiled 4397 to 2614 computations (40.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 (sqrt.f64 2) z))
0.2b	(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) z)) (-.f64 (*.f64 1/2 x) y))
0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) z)) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (sqrt.f64 2)))
0.4b	(*.f64 (sqrt.f64 2) z)

rewrite169.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-sqr-sqrt_binary64_21242`
16×	`pow1_binary64_21281`
15×	`sqrt-prod_binary64_21236` `associate-r_binary64_21160`
14×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
13×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
11×	`associate-l_binary64_21161`
6×	`pow-prod-down_binary64_21291` `cancel-sign-sub-inv_binary64_21186`
5×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
4×	`add-log-exp_binary64_21259` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169`
3×	`unswap-sqr_binary64_21188` `*-commutative_binary64_21151`
2×	`flip3--_binary64_21224` `associate-*l/_binary64_21163` `flip--_binary64_21195` `sub-neg_binary64_21213` `sqrt-pow1_binary64_21238`
1×	`pow1/2_binary64_21300`

Counts

4 → 88

Calls

4 calls:

13.0ms	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) z)) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (sqrt.f64 2)))
10.0ms	(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) z)) (-.f64 (*.f64 1/2 x) y))
5.0ms	(*.f64 (sqrt.f64 2) z)
3.0ms	(sqrt.f64 (*.f64 (sqrt.f64 2) z))

Compiler

Compiled 2567 to 1733 computations (32.5% saved)

series586.0ms (4.8%)

Error

Counts

4 → 36

Calls

4 calls:

246.0ms	(.f64 (sqrt.f64 (.f64 (sqrt.f64 2) z)) (-.f64 (*.f64 1/2 x) y))
243.0ms	(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 2) z)) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 (sqrt.f64 2)))
35.0ms	(*.f64 (sqrt.f64 2) z)
25.0ms	(sqrt.f64 (*.f64 (sqrt.f64 2) z))

Compiler

Compiled 2336 to 1902 computations (18.6% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5521	2100

prune154.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	125	7	132

Error

Counts

132 → 7

Compiler

Compiled 3014 to 1946 computations (35.4% saved)

regimes1.9s (15.3%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 22543 to 20105 computations (10.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	39
1	33	39

end0.0ms (0%)

sample3.4s (27.8%)

Algorithm

1×

intervals

Results

427.0ms	8000×	body	128	valid
330.0ms	6189×	body	128	invalid
231.0ms	4519×	body	128	nan

Compiler

Compiled 1770 to 1572 computations (11.2% saved)

Details

analyze829.0ms (6.8%)

sample55.0ms (0.5%)

simplify173.0ms (1.4%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite119.0ms (1%)

series982.0ms (8%)

simplify90.0ms (0.7%)

prune130.0ms (1.1%)

localize16.0ms (0.1%)

rewrite164.0ms (1.3%)

series1.1s (9.3%)

simplify63.0ms (0.5%)

prune170.0ms (1.4%)

localize15.0ms (0.1%)

rewrite254.0ms (2.1%)

series1.4s (11.5%)

simplify89.0ms (0.7%)

prune238.0ms (1.9%)

localize15.0ms (0.1%)

rewrite169.0ms (1.4%)

series586.0ms (4.8%)

simplify74.0ms (0.6%)

prune154.0ms (1.3%)

regimes1.9s (15.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (27.8%)

Profiling