Details

analyze385.0ms (10.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	217	28
1	217	28
0	3	3
1	3	3

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39.8%	5.6%	10
58.5%	35.5%	6%	11
67.3%	26.5%	6.2%	12
71.7%	19.1%	9.2%	13
74.1%	16.6%	9.4%	14

Symmetry

(sort y z)

Compiler

Compiled 6 to 6 computations (0% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	113	7
1	113	7

prune5.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_17167`
1×	`diff-log_binary64_17220` `pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `flip3--_binary64_17132` `*-un-lft-identity_binary64_17128` `sub-neg_binary64_17121` `flip--_binary64_17103` `cancel-sign-sub-inv_binary64_17094`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

Compiler

Compiled 143 to 44 computations (69.2% saved)

series84.0ms (2.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

77.0ms

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

Compiler

Compiled 193 to 147 computations (23.8% saved)

simplify91.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5423	248

prune15.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

0.0b

Counts

31 → 2

Compiler

Compiled 210 to 46 computations (78.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite94.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_17150`
24×	`sqrt-prod_binary64_17144`
21×	`pow1_binary64_17189`
16×	`sqrt-div_binary64_17145`
14×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
10×	`pow1/2_binary64_17208` `sqrt-pow1_binary64_17146`
9×	`flip3--_binary64_17132` `flip--_binary64_17103`
8×	`swap-sqr_binary64_17095`
6×	`add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `associate-l_binary64_17069` `associate-r_binary64_17068`
5×	`pow-prod-up_binary64_17198`
4×	`rem-sqrt-square_binary64_17141` `frac-times_binary64_17138` `unswap-sqr_binary64_17096`
3×	`pow-prod-down_binary64_17199` `pow-sqr_binary64_17101`
2×	`associate-l/_binary64_17071` `associate-r/_binary64_17070`
1×	`pow2_binary64_17209` `pow-plus_binary64_17191` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `sqrt-unprod_binary64_17148` `sqr-abs_binary64_17143` `rem-square-sqrt_binary64_17140` `*-commutative_binary64_17059` `diff-log_binary64_17220` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094`

Counts

4 → 100

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 z y))) (sqrt.f64 (-.f64 x (*.f64 z y))))
3.0ms	(-.f64 x (*.f64 z y))
3.0ms	(sqrt.f64 (-.f64 x (*.f64 z y)))
3.0ms	(sqrt.f64 (-.f64 x (*.f64 z y)))

Compiler

Compiled 2250 to 327 computations (85.5% saved)

series391.0ms (11%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

97.0ms	(sqrt.f64 (-.f64 x (*.f64 z y)))
95.0ms	(sqrt.f64 (-.f64 x (*.f64 z y)))
81.0ms	(-.f64 x (*.f64 z y))
77.0ms	(.f64 (sqrt.f64 (-.f64 x (.f64 z y))) (sqrt.f64 (-.f64 x (*.f64 z y))))

Compiler

Compiled 2618 to 1545 computations (41% saved)

simplify73.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4936	2252
1	4936	2252

prune104.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Error

Counts

171 → 3

Compiler

Compiled 2617 to 552 computations (78.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (.f64 z y)))) 4) (cbrt.f64 (-.f64 x (*.f64 z y))))
0.4b	(pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z y)))) 4)
0.6b	(cbrt.f64 (-.f64 x (*.f64 z y)))
0.6b	(cbrt.f64 (-.f64 x (*.f64 z y)))

rewrite120.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_17150`
24×	`unpow-prod-down_binary64_17207`
22×	`cbrt-prod_binary64_17159`
16×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128` `sqrt-prod_binary64_17144`
13×	`associate-l_binary64_17069`
10×	`add-exp-log_binary64_17166` `unswap-sqr_binary64_17096`
6×	`pow1_binary64_17189` `cbrt-div_binary64_17160` `associate-r_binary64_17068`
5×	`add-cbrt-cube_binary64_17164`
4×	`add-log-exp_binary64_17167` `pow-pow_binary64_17200` `sqr-pow_binary64_17100`
3×	`pow1/3_binary64_17210` `flip3--_binary64_17132` `flip--_binary64_17103` `pow-unpow_binary64_17205` `prod-exp_binary64_17177`
2×	`sqrt-pow1_binary64_17146` `pow-to-exp_binary64_17197` `pow-exp_binary64_17196` `associate-*r/_binary64_17070`
1×	`pow1/2_binary64_17208` `sqrt-pow2_binary64_17147` `cbrt-unprod_binary64_17161` `*-commutative_binary64_17059`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (.f64 z y)))) 4) (cbrt.f64 (-.f64 x (*.f64 z y))))
6.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z y)))) 4)
3.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))

Compiler

Compiled 2575 to 643 computations (75% saved)

series1.2s (34.6%)

Error

Counts

4 → 86

Calls

4 calls:

534.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 z y)))) 4)
237.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
232.0ms	(cbrt.f64 (-.f64 x (*.f64 z y)))
110.0ms	(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 x (.f64 z y)))) 4) (cbrt.f64 (-.f64 x (*.f64 z y))))

Compiler

Compiled 5862 to 4338 computations (26% saved)

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5092	4310

prune165.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	182	3	185

Error

Counts

185 → 3

Compiler

Compiled 4263 to 1445 computations (66.1% saved)

regimes86.0ms (2.4%)

Accuracy

Total 0.0b remaining (26.7%)

Threshold costs 0.0b (26.7%)

Compiler

Compiled 697 to 371 computations (46.8% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

Remove

(sort y z)

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample567.0ms (16%)

Algorithm

1×

intervals

Results

168.0ms	8000×	body	128	valid
5.0ms	299×	body	128	invalid

Compiler

Compiled 163 to 89 computations (45.4% saved)

Details

analyze385.0ms (10.9%)

sample20.0ms (0.6%)

simplify11.0ms (0.3%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

rewrite11.0ms (0.3%)

series84.0ms (2.4%)

simplify91.0ms (2.6%)

prune15.0ms (0.4%)

localize6.0ms (0.2%)

rewrite94.0ms (2.6%)

series391.0ms (11%)

simplify73.0ms (2.1%)

prune104.0ms (2.9%)

localize9.0ms (0.2%)

rewrite120.0ms (3.4%)

series1.2s (34.6%)

simplify67.0ms (1.9%)

prune165.0ms (4.6%)

regimes86.0ms (2.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample567.0ms (16%)

Profiling