Details

analyze692.0ms (5.9%)

Algorithm

1×

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%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	86×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify216.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

prune2.0ms (0%)

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 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_21242`
12×	`cancel-sign-sub-inv_binary64_21186` `*-un-lft-identity_binary64_21220`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `add-cube-cbrt_binary64_21255` `distribute-rgt-in_binary64_21170`
6×	`flip3--_binary64_21224` `flip--_binary64_21195`
5×	`associate-r_binary64_21160` `associate-l_binary64_21161`
4×	`frac-times_binary64_21230` `pow1_binary64_21281` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `sub-neg_binary64_21213`
2×	`associate-l/_binary64_21163` `associate-r/_binary64_21162` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172`
1×	`flip3-+_binary64_21223` `*-commutative_binary64_21151` `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

2 → 57

Calls

2 calls:

15.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
5.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

series90.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
37.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4887	986
1	4887	986

prune48.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

Compiler

Compiled 1071 to 263 computations (75.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_21251`
37×	`add-sqr-sqrt_binary64_21242`
35×	`*-un-lft-identity_binary64_21220`
18×	`cbrt-div_binary64_21252`
15×	`add-cube-cbrt_binary64_21255`
11×	`pow1_binary64_21281`
10×	`swap-sqr_binary64_21187`
9×	`flip3--_binary64_21224` `flip--_binary64_21195` `pow1/3_binary64_21302` `distribute-lft-out--_binary64_21172`
8×	`associate-r_binary64_21160` `associate-l_binary64_21161`
7×	`difference-of-squares_binary64_21189`
6×	`add-exp-log_binary64_21258`
4×	`frac-times_binary64_21230` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `unswap-sqr_binary64_21188`
2×	`pow-sqr_binary64_21193` `associate-l/_binary64_21163` `associate-r/_binary64_21162` `pow-prod-down_binary64_21291` `pow-prod-up_binary64_21290`
1×	`*-commutative_binary64_21151` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `pow2_binary64_21301` `pow-plus_binary64_21283`

Counts

4 → 101

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))

series443.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
107.0ms	(cbrt.f64 (-.f64 y z))
105.0ms	(cbrt.f64 (-.f64 y z))
104.0ms	(cbrt.f64 (-.f64 y z))

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4931	1626
1	4931	1626

prune99.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

Compiler

Compiled 2913 to 691 computations (76.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
0.8b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
0.8b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
0.8b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

rewrite67.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`cbrt-div_binary64_21252`
148×	`frac-times_binary64_21230`
126×	`flip3--_binary64_21224` `flip--_binary64_21195`
50×	`associate-l/_binary64_21163` `associate-r/_binary64_21162`
11×	`pow1_binary64_21281`
10×	`add-sqr-sqrt_binary64_21242`
9×	`pow1/3_binary64_21302`
8×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
7×	`cbrt-prod_binary64_21251`
6×	`add-exp-log_binary64_21258`
4×	`associate-r_binary64_21160` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `swap-sqr_binary64_21187` `associate-l_binary64_21161`
2×	`pow-sqr_binary64_21193` `pow-prod-down_binary64_21291` `pow-prod-up_binary64_21290`
1×	`*-commutative_binary64_21151` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `pow2_binary64_21301` `pow-plus_binary64_21283` `unswap-sqr_binary64_21188`

Counts

4 → 162

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
8.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

series2.6s (22.3%)

Counts

4 → 12

Calls

4 calls:

1.3s	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
439.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
439.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
435.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4998	7505
1	4998	7505

prune213.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	174	4	178

Merged error: 0b

Counts

178 → 4

Compiler

Compiled 8010 to 1690 computations (78.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
0.3b	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
0.3b	(sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
0.3b	(sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

rewrite80.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`sqrt-div_binary64_21237`
148×	`frac-times_binary64_21230`
126×	`flip3--_binary64_21224` `flip--_binary64_21195`
61×	`pow1_binary64_21281`
50×	`associate-l/_binary64_21163` `associate-r/_binary64_21162`
32×	`sqrt-pow1_binary64_21238`
23×	`pow-prod-down_binary64_21291`
20×	`add-sqr-sqrt_binary64_21242`
16×	`*-un-lft-identity_binary64_21220`
12×	`pow1/2_binary64_21300` `add-cube-cbrt_binary64_21255`
10×	`pow-prod-up_binary64_21290`
9×	`associate-r_binary64_21160` `associate-l_binary64_21161`
8×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
6×	`pow-sqr_binary64_21193` `cancel-sign-sub-inv_binary64_21186` `sqrt-prod_binary64_21236`
4×	`distribute-lft-in_binary64_21169` `add-log-exp_binary64_21259` `swap-sqr_binary64_21187` `distribute-rgt-in_binary64_21170`
2×	`sub-neg_binary64_21213` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `unswap-sqr_binary64_21188`
1×	`sqrt-unprod_binary64_21240` `rem-square-sqrt_binary64_21232` `pow2_binary64_21301` `pow-plus_binary64_21283`

Counts

4 → 205

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
10.0ms	(sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
8.0ms	(sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

series5.5s (46.8%)

Counts

4 → 12

Calls

4 calls:

2.7s	(sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
2.7s	(sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
37.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (sqrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
36.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5735	7461

prune215.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	217	4	221

Merged error: 0b

Counts

221 → 4

Compiler

Compiled 7010 to 1609 computations (77% saved)

regimes131.0ms (1.1%)

Compiler: Compiled 1076 to 772 computations (28.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms (0%)

sample828.0ms (7.1%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
83.0ms	2520×	body	128	invalid

Compiler

Compiled 207 to 150 computations (27.5% saved)

Details

analyze692.0ms (5.9%)

sample22.0ms (0.2%)

simplify216.0ms (1.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite24.0ms (0.2%)

series90.0ms (0.8%)

simplify83.0ms (0.7%)

prune48.0ms (0.4%)

localize10.0ms (0.1%)

rewrite33.0ms (0.3%)

series443.0ms (3.8%)

simplify101.0ms (0.9%)

prune99.0ms (0.8%)

localize11.0ms (0.1%)

rewrite67.0ms (0.6%)

series2.6s (22.3%)

simplify106.0ms (0.9%)

prune213.0ms (1.8%)

localize9.0ms (0.1%)

rewrite80.0ms (0.7%)

series5.5s (46.8%)

simplify90.0ms (0.8%)

prune215.0ms (1.8%)

regimes131.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample828.0ms (7.1%)

Profiling