Details

analyze171.0ms (5.2%)

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)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	25×	body	128	nan
0.0ms	12×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	12
1	28	12

prune6.0ms (0.2%)

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: 0.2b

Counts

2 → 2

Compiler

Compiled 44 to 44 computations (0% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
3×	`associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

9.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

series122.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

63.0ms	(*.f64 y (sqrt.f64 z))
60.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5340	474

prune135.0ms (4.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	9	41

Merged error: 0.0b

Counts

41 → 9

Compiler

Compiled 2062 to 1434 computations (30.5% saved)

localize7.0ms (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 (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
3×	`associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

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

series121.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

63.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
59.0ms	(*.f64 y (sqrt.f64 z))

simplify92.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5340	474

prune133.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	7	0	7
Picked	0	1	1
Done	0	1	1
Total	40	8	48

Merged error: 0.0b

Counts

48 → 8

Compiler

Compiled 2026 to 1368 computations (32.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

13.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
8.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

series349.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(sqrt.f64 (sqrt.f64 z))
100.0ms	(sqrt.f64 (sqrt.f64 z))
78.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
65.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4927	1032
1	4927	1032

prune184.0ms (5.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	98	10	108

Merged error: 0b

Counts

108 → 10

Compiler

Compiled 3014 to 1615 computations (46.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.4b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)))
0.6b	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3))
0.7b	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)

rewrite55.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`sqrt-prod_binary64`
48×	`cbrt-prod_binary64`
36×	`associate-r_binary64` `add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`unpow-prod-down_binary64` `cube-prod_binary64`
14×	`pow1_binary64`
12×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
5×	`pow-pow_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`pow1/2_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 141

Calls

4 calls:

22.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
5.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)
5.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3))

series413.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)
122.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3))
78.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
59.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3)))

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4849	1706
1	4849	1706

prune187.0ms (5.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	153	10	163

Merged error: 0b

Counts

163 → 10

Compiler

Compiled 3358 to 1613 computations (52% saved)

regimes158.0ms (4.8%)

Compiler: Compiled 1100 to 859 computations (21.9% 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%)

sample778.0ms (23.8%)

Algorithm

1×

intervals

Results

325.0ms	8000×	body	128	valid
41.0ms	1064×	body	128	nan
15.0ms	398×	body	128	invalid

Compiler

Compiled 169 to 135 computations (20.1% saved)

Details

analyze171.0ms (5.2%)

sample21.0ms (0.6%)

simplify8.0ms (0.3%)

prune6.0ms (0.2%)

localize8.0ms (0.3%)

rewrite15.0ms (0.4%)

series122.0ms (3.7%)

simplify77.0ms (2.3%)

prune135.0ms (4.1%)

localize7.0ms (0.2%)

rewrite12.0ms (0.4%)

series121.0ms (3.7%)

simplify92.0ms (2.8%)

prune133.0ms (4.1%)

localize9.0ms (0.3%)

rewrite33.0ms (1%)

series349.0ms (10.7%)

simplify72.0ms (2.2%)

prune184.0ms (5.6%)

localize12.0ms (0.4%)

rewrite55.0ms (1.7%)

series413.0ms (12.7%)

simplify88.0ms (2.7%)

prune187.0ms (5.7%)

regimes158.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample778.0ms (23.8%)

Profiling