Details

analyze533.0ms (9.9%)

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify375.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (274.0ms)

Iter	Nodes	Cost
0	5412	13

prune2.0ms (0%)

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

Error

2.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_13058`
70×	`*-un-lft-identity_binary64_13036`
51×	`times-frac_binary64_13042`
31×	`associate-l_binary64_12977`
26×	`add-cube-cbrt_binary64_13071`
22×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
5×	`associate-/r_binary64_12980` `associate-/l_binary64_12981`
4×	`associate-/r/_binary64_12982` `pow1_binary64_13097`
3×	`flip--_binary64_13011` `associate-r_binary64_12976` `flip3--_binary64_13040`
2×	`cbrt-undiv_binary64_13070` `add-log-exp_binary64_13075` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `div-sub_binary64_13041` `associate-l/_binary64_12979` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107`

Counts

2 → 102

Calls

2 calls:

13.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
8.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

series165.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
41.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5037	1792

prune89.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Error

0.0b

Counts

109 → 7

Compiler

Compiled 1908 to 422 computations (77.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (-.f64 z y))
0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
0.0b	(/.f64 y (-.f64 z y))
2.3b	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)

rewrite92.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

113×	`*-un-lft-identity_binary64_13036`
95×	`add-sqr-sqrt_binary64_13058`
81×	`times-frac_binary64_13042`
39×	`add-cube-cbrt_binary64_13071`
35×	`distribute-lft-out--_binary64_12988`
23×	`difference-of-squares_binary64_13005`
21×	`cancel-sign-sub-inv_binary64_13002`
18×	`associate-l_binary64_12977`
14×	`associate-/r/_binary64_12982`
10×	`associate-/r*_binary64_12980` `add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
9×	`flip--_binary64_13011` `flip3--_binary64_13040`
7×	`div-inv_binary64_13033`
6×	`add-log-exp_binary64_13075` `pow1_binary64_13097` `associate-/l*_binary64_12981` `distribute-rgt-out--_binary64_12990`
4×	`associate-*l/_binary64_12979`
3×	`associate-r_binary64_12976`
2×	`clear-num_binary64_13035` `cbrt-undiv_binary64_13070` `sub-div_binary64_13043` `div-exp_binary64_13087` `frac-2neg_binary64_13047` `frac-sub_binary64_13045`
1×	`unswap-sqr_binary64_13004` `sub-neg_binary64_13029` `prod-exp_binary64_13085` `diff-log_binary64_13128` `*-commutative_binary64_12967` `pow-prod-down_binary64_13107` `cbrt-unprod_binary64_13069`

Counts

4 → 160

Calls

4 calls:

33.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)
33.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
5.0ms	(/.f64 x (-.f64 z y))
5.0ms	(/.f64 y (-.f64 z y))

series301.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)
66.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
32.0ms	(/.f64 y (-.f64 z y))
31.0ms	(/.f64 x (-.f64 z y))

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5338	2845

prune124.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	172	7	179

Error

0.0b

Counts

179 → 7

Compiler

Compiled 3443 to 665 computations (80.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))))
3.7b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
3.7b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
3.7b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

rewrite110.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

333×	`*-un-lft-identity_binary64_13036`
277×	`cbrt-prod_binary64_13067`
273×	`add-sqr-sqrt_binary64_13058`
229×	`times-frac_binary64_13042`
106×	`distribute-lft-out--_binary64_12988`
93×	`add-cube-cbrt_binary64_13071`
78×	`difference-of-squares_binary64_13005`
58×	`swap-sqr_binary64_13003`
34×	`associate-r_binary64_12976` `associate-l_binary64_12977`
14×	`associate-/r/_binary64_12982`
11×	`pow1_binary64_13097`
9×	`unswap-sqr_binary64_13004` `pow1/3_binary64_13118`
7×	`flip--_binary64_13011` `div-inv_binary64_13033` `flip3--_binary64_13040` `cbrt-div_binary64_13068`
6×	`add-exp-log_binary64_13074`
4×	`add-log-exp_binary64_13075` `add-cbrt-cube_binary64_13072`
2×	`pow-sqr_binary64_13009` `pow-prod-up_binary64_13106` `pow-prod-down_binary64_13107`
1×	`pow2_binary64_13117` `associate-l/_binary64_12979` `prod-exp_binary64_13085` `pow-plus_binary64_13099` `associate-r/_binary64_12978` `*-commutative_binary64_12967` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`

Counts

4 → 276

Calls

4 calls:

45.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))))
8.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

series1.3s (23.6%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))))
310.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
305.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
302.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

simplify184.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4896	8768
1	4896	8768

prune279.0ms (5.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	288	7	295

Error

0.0b

Counts

295 → 7

Compiler

Compiled 11065 to 1430 computations (87.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
9.2b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_13058`
12×	`*-un-lft-identity_binary64_13036`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
6×	`add-cube-cbrt_binary64_13071`
5×	`associate-l_binary64_12977` `associate-/r*_binary64_12980` `times-frac_binary64_13042`
4×	`associate-*l/_binary64_12979` `pow1_binary64_13097`
3×	`flip--_binary64_13011` `associate-r_binary64_12976` `distribute-lft-out--_binary64_12988` `flip3--_binary64_13040` `difference-of-squares_binary64_13005`
2×	`cbrt-undiv_binary64_13070` `add-log-exp_binary64_13075` `associate-/r/_binary64_12982` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cbrt-unprod_binary64_13069` `associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `associate-/l_binary64_12981` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107`

Counts

2 → 51

Calls

2 calls:

9.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))
6.0ms	(*.f64 (-.f64 x y) t)

series100.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))
28.0ms	(*.f64 (-.f64 x y) t)

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5084	697

prune36.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Error

Counts

64 → 7

Compiler

Compiled 758 to 181 computations (76.1% saved)

regimes369.0ms (6.9%)

Accuracy

Total 1.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3872 to 2567 computations (33.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms (0%)

sample1.0s (19.2%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
23.0ms	625×	body	128	invalid

Compiler

Compiled 640 to 421 computations (34.2% saved)

Details

analyze533.0ms (9.9%)

sample19.0ms (0.3%)

simplify375.0ms (7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite29.0ms (0.5%)

series165.0ms (3.1%)

simplify71.0ms (1.3%)

prune89.0ms (1.7%)

localize8.0ms (0.1%)

rewrite92.0ms (1.7%)

series301.0ms (5.6%)

simplify82.0ms (1.5%)

prune124.0ms (2.3%)

localize10.0ms (0.2%)

rewrite110.0ms (2%)

series1.3s (23.6%)

simplify184.0ms (3.4%)

prune279.0ms (5.2%)

localize7.0ms (0.1%)

rewrite18.0ms (0.3%)

series100.0ms (1.9%)

simplify60.0ms (1.1%)

prune36.0ms (0.7%)

regimes369.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (19.2%)

Profiling