Details

analyze889.0ms (24%)

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify209.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (199.0ms)

Iter	Nodes	Cost
0	4788	16
1	4788	16

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: 10.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) t)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
11.4b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64` `times-frac_binary64`
4×	`associate-*l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

10.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
7.0ms	(*.f64 (-.f64 y z) t)

series60.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
21.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
8.0ms	(*.f64 (-.f64 y z) t)

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5592	1010

prune62.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

Compiler

Compiled 1198 to 327 computations (72.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
0.0b	(/.f64 t (-.f64 a z))
8.7b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

15.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
6.0ms	(/.f64 t (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))

series57.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
17.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))
8.0ms	(/.f64 t (-.f64 a z))

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4972	1593
1	4972	1593

prune91.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Merged error: 0b

Counts

109 → 7

Compiler

Compiled 1848 to 440 computations (76.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
0.0b	(/.f64 1 (-.f64 a z))
0.2b	(*.f64 t (/.f64 1 (-.f64 a z)))
8.7b	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
8×	`associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `un-div-inv_binary64` `frac-times_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 128

Calls

4 calls:

16.0ms	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))
11.0ms	(*.f64 t (/.f64 1 (-.f64 a z)))
6.0ms	(/.f64 1 (-.f64 a z))
5.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))

series57.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z)))))
17.0ms	(.f64 (-.f64 y z) (.f64 t (/.f64 1 (-.f64 a z))))
8.0ms	(*.f64 t (/.f64 1 (-.f64 a z)))
5.0ms	(/.f64 1 (-.f64 a z))

simplify105.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5951	1788

prune79.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	140	7	147

Merged error: 0b

Counts

147 → 7

Compiler

Compiled 2441 to 827 computations (66.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
0.0b	(/.f64 (-.f64 a z) t)
9.0b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite54.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

200×	`times-frac_binary64`
173×	`*-un-lft-identity_binary64`
171×	`add-sqr-sqrt_binary64`
87×	`add-cube-cbrt_binary64`
42×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 188

Calls

3 calls:

26.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
12.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
6.0ms	(/.f64 (-.f64 a z) t)

series61.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

27.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
27.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))
7.0ms	(/.f64 (-.f64 a z) t)

simplify107.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5577	4714

prune89.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	2	3
Picked	0	1	1
Done	2	1	3
Total	199	5	204

Merged error: 0b

Counts

204 → 5

Compiler

Compiled 4041 to 640 computations (84.2% saved)

regimes292.0ms (7.9%)

Compiler: Compiled 430 to 416 computations (3.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample1.2s (31.4%)

Algorithm

1×

intervals

Results

277.0ms	7999×	body	80	valid
23.0ms	711×	body	80	invalid
0.0ms	1×	body	1280	valid

Compiler

Compiled 131 to 103 computations (21.4% saved)

Details

analyze889.0ms (24%)

sample21.0ms (0.6%)

simplify209.0ms (5.6%)

prune6.0ms (0.2%)

localize8.0ms (0.2%)

rewrite26.0ms (0.7%)

series60.0ms (1.6%)

simplify74.0ms (2%)

prune62.0ms (1.7%)

localize8.0ms (0.2%)

rewrite29.0ms (0.8%)

series57.0ms (1.5%)

simplify95.0ms (2.6%)

prune91.0ms (2.5%)

localize9.0ms (0.2%)

rewrite43.0ms (1.1%)

series57.0ms (1.5%)

simplify105.0ms (2.8%)

prune79.0ms (2.1%)

localize9.0ms (0.2%)

rewrite54.0ms (1.4%)

series61.0ms (1.6%)

simplify107.0ms (2.9%)

prune89.0ms (2.4%)

regimes292.0ms (7.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (31.4%)

Profiling