Details

analyze460.0ms (14.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	40
1	423	40
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%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 (.f64 y 4) z))
0.2b	(.f64 (.f64 y 4) z)

rewrite52.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
4×	`add-log-exp_binary64_8301`
3×	`pow-prod-down_binary64_8333` `prod-exp_binary64_8311` `add-cube-cbrt_binary64_8297` `cbrt-unprod_binary64_8295` `add-sqr-sqrt_binary64_8284` `-un-lft-identity_binary64_8262` `associate-r*_binary64_8202`
1×	`associate-l_binary64_8203` `*-commutative_binary64_8193` `diff-log_binary64_8354` `flip3--_binary64_8266` `sub-neg_binary64_8255` `flip--_binary64_8237` `cancel-sign-sub-inv_binary64_8228`

Counts

2 → 30

Calls

2 calls:

5.0ms	(.f64 (.f64 y 4) z)
3.0ms	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 389 to 250 computations (35.7% saved)

series261.0ms (8.4%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

176.0ms	(-.f64 x (.f64 (.f64 y 4) z))
80.0ms	(.f64 (.f64 y 4) z)

Compiler

Compiled 252 to 261 computations (-3.6% saved)

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5625	524

prune39.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Compiler

Compiled 326 to 190 computations (41.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 4 (.f64 z y)))
0.0b	(.f64 4 (.f64 z y))

rewrite51.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
4×	`add-log-exp_binary64_8301`
3×	`pow-prod-down_binary64_8333` `prod-exp_binary64_8311` `add-cube-cbrt_binary64_8297` `cbrt-unprod_binary64_8295` `add-sqr-sqrt_binary64_8284` `-un-lft-identity_binary64_8262` `associate-l*_binary64_8203`
1×	`associate-r_binary64_8202` `*-commutative_binary64_8193` `diff-log_binary64_8354` `flip3--_binary64_8266` `sub-neg_binary64_8255` `flip--_binary64_8237` `cancel-sign-sub-inv_binary64_8228`

Counts

2 → 30

Calls

2 calls:

7.0ms	(.f64 4 (.f64 z y))
3.0ms	(-.f64 x (.f64 4 (.f64 z y)))

Compiler

Compiled 380 to 213 computations (43.9% saved)

series264.0ms (8.5%)

Error

Counts

2 → 24

Calls

2 calls:

176.0ms	(-.f64 x (.f64 4 (.f64 z y)))
83.0ms	(.f64 4 (.f64 z y))

Compiler

Compiled 252 to 261 computations (-3.6% saved)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4941	520
1	4941	520

prune43.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 302 to 170 computations (43.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 z y))
0.2b	(.f64 (sqrt.f64 (.f64 4 (.f64 z y))) (sqrt.f64 (.f64 4 (*.f64 z y))))
8.2b	(sqrt.f64 (.f64 4 (.f64 z y)))
8.2b	(sqrt.f64 (.f64 4 (.f64 z y)))

rewrite147.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

148×	`pow1_binary64_8323`
80×	`pow-prod-down_binary64_8333`
66×	`sqrt-pow1_binary64_8280`
17×	`pow-prod-up_binary64_8332`
14×	`pow1/2_binary64_8342`
11×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-sqr-sqrt_binary64_8284` `pow-sqr_binary64_8235`
9×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
7×	`associate-l_binary64_8203`
6×	`sqrt-prod_binary64_8278`
5×	`associate-r_binary64_8202`
4×	`add-log-exp_binary64_8301` `prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `swap-sqr_binary64_8229`
2×	`*-commutative_binary64_8193`
1×	`pow2_binary64_8343` `pow-plus_binary64_8325` `sqrt-unprod_binary64_8282` `rem-square-sqrt_binary64_8274` `unswap-sqr_binary64_8230`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (.f64 4 (.f64 z y))) (sqrt.f64 (.f64 4 (*.f64 z y))))
5.0ms	(.f64 4 (.f64 z y))
4.0ms	(sqrt.f64 (.f64 4 (.f64 z y)))
4.0ms	(sqrt.f64 (.f64 4 (.f64 z y)))

Compiler

Compiled 1429 to 845 computations (40.9% saved)

series278.0ms (8.9%)

Error

Counts

4 → 24

Calls

4 calls:

80.0ms	(.f64 (sqrt.f64 (.f64 4 (.f64 z y))) (sqrt.f64 (.f64 4 (*.f64 z y))))
79.0ms	(.f64 4 (.f64 z y))
60.0ms	(sqrt.f64 (.f64 4 (.f64 z y)))
54.0ms	(sqrt.f64 (.f64 4 (.f64 z y)))

Compiler

Compiled 798 to 677 computations (15.2% saved)

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4940	937
1	4940	937

prune80.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Error

Counts

134 → 2

Compiler

Compiled 895 to 527 computations (41.1% saved)

regimes653.0ms (20.9%)

Accuracy

Total 0.0b remaining (11.6%)

Threshold costs 0.0b (11.6%)

Compiler

Compiled 4149 to 4152 computations (-0.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	10
1	47	10

end9.0ms (0.3%)

Remove: (sort y z)
Compiler: Compiled 21 to 21 computations (0% saved)

sample526.0ms (16.9%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
6.0ms	283×	body	128	invalid

Compiler

Compiled 40 to 49 computations (-22.5% saved)

Details

analyze460.0ms (14.7%)

sample22.0ms (0.7%)

simplify15.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite52.0ms (1.7%)

series261.0ms (8.4%)

simplify84.0ms (2.7%)

prune39.0ms (1.3%)

localize5.0ms (0.2%)

rewrite51.0ms (1.6%)

series264.0ms (8.5%)

simplify63.0ms (2%)

prune43.0ms (1.4%)

localize8.0ms (0.3%)

rewrite147.0ms (4.7%)

series278.0ms (8.9%)

simplify52.0ms (1.7%)

prune80.0ms (2.6%)

regimes653.0ms (20.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end9.0ms (0.3%)

sample526.0ms (16.9%)

Profiling