Details

analyze1.3s (24.6%)

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)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	71×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify394.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (234.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_20901`
9×	`*-un-lft-identity_binary64_20879`
6×	`flip3--_binary64_20883` `flip--_binary64_20854` `cancel-sign-sub-inv_binary64_20845`
5×	`associate-l_binary64_20820` `add-cube-cbrt_binary64_20914` `associate-r_binary64_20819`
4×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `frac-times_binary64_20889`
3×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917` `pow1_binary64_20940`
2×	`sub-neg_binary64_20872` `distribute-lft-out--_binary64_20831` `difference-of-squares_binary64_20848` `associate-r/_binary64_20821` `associate-l/_binary64_20822`
1×	`pow-prod-down_binary64_20950` `unswap-sqr_binary64_20847` `*-commutative_binary64_20810` `prod-exp_binary64_20928` `add-log-exp_binary64_20918` `cbrt-unprod_binary64_20912`

Counts

1 → 38

Calls

1 calls:

19.0ms

(*.f64 (-.f64 y z) (-.f64 t x))

series64.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(*.f64 (-.f64 y z) (-.f64 t x))

simplify105.0ms (2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4910	641
1	4910	641

prune61.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

Compiler

Compiled 681 to 188 computations (72.4% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite55.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_20901`
15×	`*-un-lft-identity_binary64_20879`
12×	`cancel-sign-sub-inv_binary64_20845`
11×	`add-cube-cbrt_binary64_20914`
8×	`associate-l_binary64_20820` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `associate-r_binary64_20819` `associate-+r+_binary64_20811`
7×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917` `pow1_binary64_20940`
6×	`flip3--_binary64_20883` `flip--_binary64_20854` `associate-r/_binary64_20821` `associate-l/_binary64_20822`
5×	`add-log-exp_binary64_20918`
4×	`sub-neg_binary64_20872` `frac-add_binary64_20887`
2×	`pow-prod-down_binary64_20950` `distribute-lft-out--_binary64_20831` `unswap-sqr_binary64_20847` `*-commutative_binary64_20810` `difference-of-squares_binary64_20848` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`+-commutative_binary64_20809` `sum-log_binary64_20970` `flip3-+_binary64_20882` `flip-+_binary64_20853`

Counts

3 → 75

Calls

3 calls:

17.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
14.0ms	(*.f64 x (-.f64 z y))
13.0ms	(*.f64 (-.f64 y z) t)

series195.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
56.0ms	(*.f64 x (-.f64 z y))
49.0ms	(*.f64 (-.f64 y z) t)

simplify121.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5153	1198

prune106.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

Compiler

Compiled 1630 to 361 computations (77.9% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
0.6b	(cbrt.f64 (-.f64 y z))
0.6b	(cbrt.f64 (-.f64 y z))
0.6b	(cbrt.f64 (-.f64 y z))

rewrite60.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_20910`
37×	`add-sqr-sqrt_binary64_20901`
35×	`*-un-lft-identity_binary64_20879`
18×	`cbrt-div_binary64_20911`
15×	`add-cube-cbrt_binary64_20914`
11×	`pow1_binary64_20940`
10×	`swap-sqr_binary64_20846`
9×	`flip3--_binary64_20883` `flip--_binary64_20854` `distribute-lft-out--_binary64_20831` `pow1/3_binary64_20961`
8×	`associate-l_binary64_20820` `associate-r_binary64_20819`
7×	`difference-of-squares_binary64_20848`
6×	`add-exp-log_binary64_20917`
4×	`add-cbrt-cube_binary64_20915` `unswap-sqr_binary64_20847` `add-log-exp_binary64_20918` `frac-times_binary64_20889`
2×	`pow-prod-down_binary64_20950` `pow-sqr_binary64_20852` `pow-prod-up_binary64_20949` `associate-r/_binary64_20821` `associate-l/_binary64_20822`
1×	`pow2_binary64_20960` `*-commutative_binary64_20810` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `pow-plus_binary64_20942`

Counts

4 → 101

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
6.0ms	(cbrt.f64 (-.f64 y z))
6.0ms	(cbrt.f64 (-.f64 y z))
6.0ms	(cbrt.f64 (-.f64 y z))

series800.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

212.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
200.0ms	(cbrt.f64 (-.f64 y z))
195.0ms	(cbrt.f64 (-.f64 y z))
193.0ms	(cbrt.f64 (-.f64 y z))

simplify183.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4931	1626
1	4931	1626

prune180.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

Compiler

Compiled 2866 to 670 computations (76.6% saved)

regimes200.0ms (3.8%)

Compiler: Compiled 725 to 520 computations (28.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms (0%)

sample1.3s (25.3%)

Algorithm

1×

intervals

Results

424.0ms	8000×	body	128	valid
135.0ms	2508×	body	128	invalid

Compiler

Compiled 137 to 99 computations (27.7% saved)

Details

analyze1.3s (24.6%)

sample36.0ms (0.7%)

simplify394.0ms (7.5%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite24.0ms (0.5%)

series64.0ms (1.2%)

simplify105.0ms (2%)

prune61.0ms (1.2%)

localize18.0ms (0.3%)

rewrite55.0ms (1%)

series195.0ms (3.7%)

simplify121.0ms (2.3%)

prune106.0ms (2%)

localize20.0ms (0.4%)

rewrite60.0ms (1.1%)

series800.0ms (15.2%)

simplify183.0ms (3.5%)

prune180.0ms (3.4%)

regimes200.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (25.3%)

Profiling