Details

analyze810.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5214	91
0	4	4
1	4	4

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)

sample22.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify257.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (251.0ms)

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

1.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.4b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite155.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64_16468`
70×	`*-un-lft-identity_binary64_16446`
51×	`times-frac_binary64_16452`
31×	`associate-l_binary64_16387`
26×	`add-cube-cbrt_binary64_16481`
22×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`
9×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
5×	`associate-/l_binary64_16391` `associate-/r_binary64_16390`
4×	`pow1_binary64_16507` `associate-/r/_binary64_16392`
3×	`flip3--_binary64_16450` `flip--_binary64_16421` `associate-r_binary64_16386`
2×	`div-exp_binary64_16497` `prod-exp_binary64_16495` `add-log-exp_binary64_16485` `cbrt-unprod_binary64_16479` `cbrt-undiv_binary64_16480` `unswap-sqr_binary64_16414` `div-inv_binary64_16443` `associate-/l/_binary64_16393`
1×	`pow-prod-down_binary64_16517` `associate-l/_binary64_16389` `-commutative_binary64_16377` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445`

Counts

2 → 102

Calls

2 calls:

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

Compiler

Compiled 1538 to 306 computations (80.1% saved)

series809.0ms (4.7%)

Error

0.1b

Counts

2 → 63

Calls

2 calls:

451.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
284.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 2823 to 1852 computations (34.4% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4979	3985
1	4979	3985

prune181.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	155	10	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	10	166

Error

Counts

166 → 10

Compiler

Compiled 2534 to 651 computations (74.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))

rewrite125.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`cbrt-prod_binary64_16477`
16×	`add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
8×	`add-cube-cbrt_binary64_16481` `cbrt-div_binary64_16478`
4×	`pow1/3_binary64_16528` `pow1_binary64_16507` `add-log-exp_binary64_16485` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `flip3--_binary64_16450` `flip--_binary64_16421` `difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 2124 to 311 computations (85.4% saved)

series810.0ms (4.7%)

Error

Counts

4 → 49

Calls

4 calls:

205.0ms	(cbrt.f64 (-.f64 z y))
200.0ms	(cbrt.f64 (-.f64 z y))
198.0ms	(cbrt.f64 (-.f64 z y))
152.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 4655 to 2692 computations (42.2% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4955	1533
1	4955	1533

prune155.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	109	10	119

Error

Counts

119 → 10

Compiler

Compiled 3120 to 631 computations (79.8% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (-.f64 z y))
0.0b	(/.f64 y (-.f64 z y))
0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
1.4b	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)

rewrite329.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

113×	`*-un-lft-identity_binary64_16446`
95×	`add-sqr-sqrt_binary64_16468`
81×	`times-frac_binary64_16452`
39×	`add-cube-cbrt_binary64_16481`
35×	`distribute-lft-out--_binary64_16398`
23×	`difference-of-squares_binary64_16415`
21×	`cancel-sign-sub-inv_binary64_16412`
18×	`associate-l_binary64_16387`
14×	`associate-/r/_binary64_16392`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `associate-/r*_binary64_16390`
9×	`flip3--_binary64_16450` `flip--_binary64_16421`
7×	`div-inv_binary64_16443`
6×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `distribute-rgt-out--_binary64_16400` `associate-/l*_binary64_16391`
4×	`associate-*l/_binary64_16389`
3×	`associate-r_binary64_16386`
2×	`frac-sub_binary64_16455` `sub-div_binary64_16453` `div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `frac-2neg_binary64_16457` `clear-num_binary64_16445`
1×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `*-commutative_binary64_16377` `diff-log_binary64_16538` `sub-neg_binary64_16439`

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 y (-.f64 z y))
5.0ms	(/.f64 x (-.f64 z y))

Compiler

Compiled 3189 to 644 computations (79.8% saved)

series1.3s (7.8%)

Error

Counts

4 → 108

Calls

4 calls:

599.0ms	(*.f64 (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) t)
345.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
190.0ms	(/.f64 x (-.f64 z y))
94.0ms	(/.f64 y (-.f64 z y))

Compiler

Compiled 4273 to 2841 computations (33.5% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4979	5991
1	4979	5991

prune299.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	268	10	278

Error

Counts

278 → 10

Compiler

Compiled 4041 to 946 computations (76.6% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.3b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
1.4b	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

rewrite552.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

392×	`times-frac_binary64_16452`
335×	`add-sqr-sqrt_binary64_16468`
323×	`*-un-lft-identity_binary64_16446`
157×	`add-cube-cbrt_binary64_16481`
98×	`associate-l_binary64_16387`
82×	`difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398`
36×	`associate-/r*_binary64_16390`
35×	`add-exp-log_binary64_16484`
19×	`add-cbrt-cube_binary64_16482`
18×	`associate-/r/_binary64_16392`
15×	`div-exp_binary64_16497`
10×	`div-inv_binary64_16443`
9×	`flip3--_binary64_16450` `flip--_binary64_16421`
8×	`associate-/l*_binary64_16391`
7×	`prod-exp_binary64_16495` `cbrt-undiv_binary64_16480`
6×	`pow1_binary64_16507`
5×	`unswap-sqr_binary64_16414`
4×	`1-exp_binary64_16490` `rec-exp_binary64_16496`
3×	`add-log-exp_binary64_16485` `cbrt-unprod_binary64_16479` `associate-r_binary64_16386`
2×	`frac-2neg_binary64_16457` `clear-num_binary64_16445` `associate-/l/_binary64_16393`
1×	`pow-prod-down_binary64_16517` `associate-l/_binary64_16389` `-commutative_binary64_16377` `inv-pow_binary64_16531` `pow-flip_binary64_16520` `div-sub_binary64_16451`

Counts

3 → 326

Calls

3 calls:

31.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
12.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
8.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

Compiler

Compiled 6035 to 1959 computations (67.5% saved)

series1.1s (6.3%)

Error

Counts

3 → 87

Calls

3 calls:

452.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)
278.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
241.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

Compiler

Compiled 3802 to 2561 computations (32.6% saved)

simplify122.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

413 → 413

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5048	9457

prune431.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	409	4	413
Fresh	4	3	7
Picked	0	1	1
Done	0	2	2
Total	413	10	423

Error

Counts

423 → 10

Compiler

Compiled 5792 to 1628 computations (71.9% saved)

regimes8.6s (49.9%)

Accuracy

Total 1.0b remaining (97.6%)

Threshold costs 0b (0%)

Compiler

Compiled 81276 to 55214 computations (32.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end2.0ms (0%)

Compiler: Compiled 31 to 14 computations (54.8% saved)

sample815.0ms (4.7%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
19.0ms	633×	body	128	invalid

Compiler

Compiled 256 to 166 computations (35.2% saved)

Details

analyze810.0ms (4.7%)

sample22.0ms (0.1%)

simplify257.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite155.0ms (0.9%)

series809.0ms (4.7%)

simplify80.0ms (0.5%)

prune181.0ms (1.1%)

localize16.0ms (0.1%)

rewrite125.0ms (0.7%)

series810.0ms (4.7%)

simplify80.0ms (0.5%)

prune155.0ms (0.9%)

localize8.0ms (0%)

rewrite329.0ms (1.9%)

series1.3s (7.8%)

simplify102.0ms (0.6%)

prune299.0ms (1.7%)

localize8.0ms (0%)

rewrite552.0ms (3.2%)

series1.1s (6.3%)

simplify122.0ms (0.7%)

prune431.0ms (2.5%)

regimes8.6s (49.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample815.0ms (4.7%)

Profiling