Details

analyze228.0ms (10.3%)

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
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample28.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	61×	body	128	invalid
3.0ms	82×	body	128	nan

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify82.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4896	12
1	4896	12

prune5.0ms (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: 0b

Counts

2 → 2

Compiler

Compiled 42 to 37 computations (11.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
0.0b	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
0.0b	(+.f64 x (*.f64 y (log.f64 y)))
0.2b	(*.f64 y (log.f64 y))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
13×	`add-cube-cbrt_binary64`
12×	`log-prod_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `associate-+r+_binary64`
5×	`exp-sum_binary64` `exp-prod_binary64`
4×	`diff-log_binary64` `associate-r_binary64`
3×	`associate-l_binary64` `rem-exp-log_binary64` `sum-log_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

7.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
7.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms	(*.f64 y (log.f64 y))
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))

series319.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(*.f64 y (log.f64 y))
76.0ms	(+.f64 x (*.f64 y (log.f64 y)))
69.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
58.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

simplify68.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5000	1149

prune55.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Merged error: 0b

Counts

95 → 2

Compiler

Compiled 1267 to 327 computations (74.2% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.7b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`exp-sum_binary64` `unpow-prod-down_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `exp-diff_binary64` `pow-exp_binary64` `-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

12.0ms

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

series120.0ms (5.4%)

Counts

1 → 3

Calls

1 calls:

120.0ms

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

simplify54.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5448	477

prune19.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Merged error: 0b

Counts

35 → 2

Compiler

Compiled 438 to 92 computations (79% saved)

regimes60.0ms (2.7%)

Compiler: Compiled 179 to 175 computations (2.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms (0%)

sample1.1s (50.1%)

Algorithm

1×

intervals

Results

380.0ms	8000×	body	128	valid
277.0ms	1792×	body	128	invalid
86.0ms	2555×	body	128	nan

Compiler

Compiled 45 to 43 computations (4.4% saved)

Details

analyze228.0ms (10.3%)

sample28.0ms (1.3%)

simplify82.0ms (3.7%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

rewrite29.0ms (1.3%)

series319.0ms (14.5%)

simplify68.0ms (3.1%)

prune55.0ms (2.5%)

localize7.0ms (0.3%)

rewrite16.0ms (0.7%)

series120.0ms (5.4%)

simplify54.0ms (2.4%)

prune19.0ms (0.9%)

regimes60.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (50.1%)

Profiling