Details

analyze744.0ms (12%)

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)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify279.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (274.0ms)

Iter	Nodes	Cost
0	5412	13

prune7.0ms (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

Error

2.1b

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))
2.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite110.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

75×	`add-sqr-sqrt_binary64_13399`
70×	`*-un-lft-identity_binary64_13377`
51×	`times-frac_binary64_13383`
31×	`associate-l_binary64_13318`
26×	`add-cube-cbrt_binary64_13412`
22×	`difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329`
9×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
5×	`associate-/l_binary64_13322` `associate-/r_binary64_13321`
4×	`pow1_binary64_13438` `associate-/r/_binary64_13323`
3×	`flip3--_binary64_13381` `flip--_binary64_13352` `associate-r_binary64_13317`
2×	`div-exp_binary64_13428` `prod-exp_binary64_13426` `add-log-exp_binary64_13416` `cbrt-unprod_binary64_13410` `cbrt-undiv_binary64_13411` `unswap-sqr_binary64_13345` `div-inv_binary64_13374` `associate-/l/_binary64_13324`
1×	`pow-prod-down_binary64_13448` `associate-l/_binary64_13320` `-commutative_binary64_13308` `frac-2neg_binary64_13388` `div-sub_binary64_13382` `clear-num_binary64_13376`

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))

Compiler

Compiled 1903 to 389 computations (79.6% saved)

series501.0ms (8.1%)

Error

0.1b

Counts

2 → 51

Calls

2 calls:

280.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
171.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 2603 to 1627 computations (37.5% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5042	2875

prune119.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	146	7	153
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	8	154

Error

0.0b

Counts

154 → 8

Compiler

Compiled 2677 to 600 computations (77.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite82.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`cbrt-prod_binary64_13408`
16×	`add-sqr-sqrt_binary64_13399` `*-un-lft-identity_binary64_13377`
8×	`add-cube-cbrt_binary64_13412` `cbrt-div_binary64_13409`
4×	`pow1/3_binary64_13459` `pow1_binary64_13438` `add-log-exp_binary64_13416` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `flip3--_binary64_13381` `flip--_binary64_13352` `difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329`

Counts

4 → 60

Calls

4 calls:

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

Compiler

Compiled 2260 to 335 computations (85.2% saved)

series389.0ms (6.3%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

110.0ms	(cbrt.f64 (-.f64 z y))
84.0ms	(cbrt.f64 (-.f64 x y))
80.0ms	(cbrt.f64 (-.f64 x y))
78.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3777 to 1971 computations (47.8% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4873	1095
1	4873	1095

prune99.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Error

0.0b

Counts

103 → 8

Compiler

Compiled 3452 to 545 computations (84.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.2b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
2.1b	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)

rewrite141.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`add-sqr-sqrt_binary64_13399`
41×	`*-un-lft-identity_binary64_13377`
32×	`times-frac_binary64_13383`
31×	`add-exp-log_binary64_13415`
24×	`add-cube-cbrt_binary64_13412` `associate-r_binary64_13317`
19×	`add-cbrt-cube_binary64_13413`
13×	`prod-exp_binary64_13426`
11×	`pow1_binary64_13438`
10×	`associate-*l/_binary64_13320`
8×	`difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329`
7×	`cbrt-unprod_binary64_13410`
6×	`div-exp_binary64_13428` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-l_binary64_13318`
5×	`associate-/r*_binary64_13321`
4×	`pow-prod-down_binary64_13448` `frac-times_binary64_13387` `associate-/r/_binary64_13323`
3×	`1-exp_binary64_13421` `rec-exp_binary64_13427` `add-log-exp_binary64_13416` `cbrt-undiv_binary64_13411` `unswap-sqr_binary64_13345` `associate-/l*_binary64_13322`
2×	`un-div-inv_binary64_13375` `associate-r/_binary64_13319` `-commutative_binary64_13308` `div-inv_binary64_13374`
1×	`inv-pow_binary64_13462` `pow-flip_binary64_13451` `frac-2neg_binary64_13388` `clear-num_binary64_13376`

Counts

3 → 119

Calls

3 calls:

14.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
14.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)
6.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 2270 to 958 computations (57.8% saved)

series559.0ms (9%)

Error

0.0b

Counts

3 → 66

Calls

3 calls:

276.0ms	(.f64 (.f64 (-.f64 x y) (/.f64 1 (-.f64 z y))) t)
174.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
59.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 3200 to 2071 computations (35.3% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5089	2864

prune121.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	185	8	193

Error

0.0b

Counts

193 → 8

Compiler

Compiled 2950 to 929 computations (68.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
9.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite83.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_13399`
38×	`*-un-lft-identity_binary64_13377`
31×	`times-frac_binary64_13383`
22×	`add-cube-cbrt_binary64_13412`
21×	`associate-r_binary64_13317`
9×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329`
5×	`associate-l_binary64_13318` `associate-/r*_binary64_13321`
4×	`pow1_binary64_13438` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-/r/_binary64_13323`
3×	`associate-/l*_binary64_13322`
2×	`div-exp_binary64_13428` `prod-exp_binary64_13426` `add-log-exp_binary64_13416` `cbrt-unprod_binary64_13410` `cbrt-undiv_binary64_13411` `frac-times_binary64_13387` `unswap-sqr_binary64_13345` `associate-*l/_binary64_13320` `div-inv_binary64_13374`
1×	`pow-prod-down_binary64_13448` `associate-r/_binary64_13319` `-commutative_binary64_13308` `frac-2neg_binary64_13388` `clear-num_binary64_13376`

Counts

2 → 83

Calls

2 calls:

14.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
5.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1456 to 322 computations (77.9% saved)

series404.0ms (6.5%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

279.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
96.0ms	(/.f64 t (-.f64 z y))

Compiler

Compiled 1967 to 1203 computations (38.8% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4970	2048
1	4970	2048

prune78.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	124	9	133

Error

Counts

133 → 9

Compiler

Compiled 1915 to 362 computations (81.1% saved)

regimes663.0ms (10.7%)

Accuracy

Total 1.0b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7673 to 4742 computations (38.2% 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

end0.0ms (0%)

sample1.5s (24.1%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
18.0ms	619×	body	128	invalid

Compiler

Compiled 1245 to 776 computations (37.7% saved)

Details

analyze744.0ms (12%)

sample20.0ms (0.3%)

simplify279.0ms (4.5%)

prune7.0ms (0.1%)

localize7.0ms (0.1%)

rewrite110.0ms (1.8%)

series501.0ms (8.1%)

simplify75.0ms (1.2%)

prune119.0ms (1.9%)

localize17.0ms (0.3%)

rewrite82.0ms (1.3%)

series389.0ms (6.3%)

simplify75.0ms (1.2%)

prune99.0ms (1.6%)

localize8.0ms (0.1%)

rewrite141.0ms (2.3%)

series559.0ms (9%)

simplify58.0ms (0.9%)

prune121.0ms (1.9%)

localize8.0ms (0.1%)

rewrite83.0ms (1.3%)

series404.0ms (6.5%)

simplify67.0ms (1.1%)

prune78.0ms (1.2%)

regimes663.0ms (10.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (24.1%)

Profiling