Details

analyze158.0ms (4.7%)

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	28×	body	128	nan
0.0ms	10×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify174.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune5.0ms (0.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_8013`
6×	`associate-r_binary64_7931`
5×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
4×	`pow1_binary64_8052` `add-cbrt-cube_binary64_8027` `add-log-exp_binary64_8030` `sqrt-prod_binary64_8007` `add-exp-log_binary64_8029`
3×	`associate-l_binary64_7932`
2×	`unswap-sqr_binary64_7959`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `+-commutative_binary64_7921` `flip-+_binary64_7965` `prod-exp_binary64_8040` `pow-prod-down_binary64_8062` `sum-log_binary64_8082` `flip3-+_binary64_7994`

Counts

2 → 33

Calls

2 calls:

6.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

series112.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
54.0ms	(*.f64 y (sqrt.f64 z))

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5339	474

prune100.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

Compiler

Compiled 1526 to 964 computations (36.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_8007`
25×	`add-sqr-sqrt_binary64_8013`
18×	`associate-r_binary64_7931`
15×	`pow1_binary64_8052` `add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
11×	`add-cbrt-cube_binary64_8027` `add-exp-log_binary64_8029`
8×	`sqrt-pow1_binary64_8009`
4×	`cbrt-unprod_binary64_8024` `rem-sqrt-square_binary64_8004` `add-log-exp_binary64_8030` `associate-l_binary64_7932` `prod-exp_binary64_8040` `pow-prod-down_binary64_8062` `pow1/2_binary64_8071`
3×	`unswap-sqr_binary64_7959`
2×	`*-commutative_binary64_7922`

Counts

4 → 88

Calls

4 calls:

11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series345.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(sqrt.f64 (sqrt.f64 z))
98.0ms	(sqrt.f64 (sqrt.f64 z))
83.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
64.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4928	1032
1	4928	1032

prune127.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

Compiler

Compiled 2388 to 1098 computations (54% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

rewrite54.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`sqrt-prod_binary64_8007`
33×	`associate-r_binary64_7931`
28×	`add-sqr-sqrt_binary64_8013`
23×	`pow1_binary64_8052`
20×	`add-cbrt-cube_binary64_8027` `add-exp-log_binary64_8029`
19×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
10×	`cbrt-unprod_binary64_8024` `prod-exp_binary64_8040` `pow-prod-down_binary64_8062`
9×	`sqrt-pow1_binary64_8009`
5×	`associate-l_binary64_7932`
4×	`add-log-exp_binary64_8030`
3×	`*-commutative_binary64_7922` `rem-sqrt-square_binary64_8004` `pow1/2_binary64_8071` `unswap-sqr_binary64_7959`

Counts

4 → 108

Calls

4 calls:

18.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
13.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))

series382.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
101.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
85.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
64.0ms	(.f64 (.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5475	1566

prune120.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	120	7	127

Merged error: 0b

Counts

127 → 7

Compiler

Compiled 2777 to 952 computations (65.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.6b	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.6b	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.6b	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`sqrt-prod_binary64_8007` `cbrt-prod_binary64_8022`
73×	`add-sqr-sqrt_binary64_8013`
29×	`add-cube-cbrt_binary64_8026` `*-un-lft-identity_binary64_7991`
18×	`swap-sqr_binary64_7958`
16×	`unswap-sqr_binary64_7959`
12×	`associate-r_binary64_7931` `associate-l_binary64_7932`
11×	`pow1_binary64_8052`
9×	`pow1/3_binary64_8073`
6×	`add-exp-log_binary64_8029`
4×	`add-cbrt-cube_binary64_8027` `add-log-exp_binary64_8030`
2×	`pow-sqr_binary64_7964` `pow-prod-up_binary64_8061` `pow-prod-down_binary64_8062`
1×	`cbrt-unprod_binary64_8024` `*-commutative_binary64_7922` `prod-exp_binary64_8040` `pow-plus_binary64_8054` `pow2_binary64_8072`

Counts

4 → 127

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 (sqrt.f64 z))))
3.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))
3.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))
3.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))

series410.0ms (12.1%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))
101.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))
101.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 (sqrt.f64 z))))
99.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 z)))

simplify104.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4873	2319
1	4873	2319

prune143.0ms (4.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	139	7	146

Merged error: 0b

Counts

146 → 7

Compiler

Compiled 4049 to 883 computations (78.2% saved)

regimes98.0ms (2.9%)

Compiler: Compiled 714 to 510 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample694.0ms (20.5%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	128	valid
35.0ms	1052×	body	128	nan
15.0ms	419×	body	128	invalid

Compiler

Compiled 133 to 99 computations (25.6% saved)

Details

analyze158.0ms (4.7%)

sample19.0ms (0.6%)

simplify174.0ms (5.1%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite12.0ms (0.3%)

series112.0ms (3.3%)

simplify80.0ms (2.4%)

prune100.0ms (2.9%)

localize8.0ms (0.3%)

rewrite31.0ms (0.9%)

series345.0ms (10.2%)

simplify63.0ms (1.9%)

prune127.0ms (3.8%)

localize11.0ms (0.3%)

rewrite54.0ms (1.6%)

series382.0ms (11.3%)

simplify64.0ms (1.9%)

prune120.0ms (3.6%)

localize13.0ms (0.4%)

rewrite42.0ms (1.2%)

series410.0ms (12.1%)

simplify104.0ms (3.1%)

prune143.0ms (4.2%)

regimes98.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample694.0ms (20.5%)

Profiling