Details

analyze226.0ms (6.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify175.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	56	13
1	56	13

prune2.0ms (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: 7.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

7.1b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_18677`
53×	`*-un-lft-identity_binary64_18655`
42×	`times-frac_binary64_18661`
20×	`difference-of-squares_binary64_18624`
15×	`add-cube-cbrt_binary64_18690`
9×	`distribute-lft-out_binary64_18606`
8×	`associate-/r*_binary64_18599`
5×	`distribute-lft-out--_binary64_18607`
4×	`associate-/l*_binary64_18600`
3×	`add-cbrt-cube_binary64_18691` `add-exp-log_binary64_18693`
2×	`associate-/r/_binary64_18601` `associate-/l/_binary64_18602`
1×	`div-exp_binary64_18706` `flip--_binary64_18630` `frac-2neg_binary64_18666` `flip-+_binary64_18629` `div-inv_binary64_18652` `clear-num_binary64_18654` `flip3-+_binary64_18658` `flip3--_binary64_18659` `pow1_binary64_18716` `cbrt-undiv_binary64_18689` `add-log-exp_binary64_18694`

Counts

1 → 60

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series94.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

94.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5428	1444

prune309.0ms (9.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	53	10	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	11	64

Merged error: 5.2b

Counts

64 → 11

Compiler

Compiled 5744 to 3633 computations (36.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (-.f64 1 (/.f64 y z)))
6.7b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite44.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-sqr-sqrt_binary64_18677`
64×	`times-frac_binary64_18661`
59×	`*-un-lft-identity_binary64_18655`
30×	`associate-r_binary64_18595`
28×	`difference-of-squares_binary64_18624` `add-cube-cbrt_binary64_18690`
15×	`add-exp-log_binary64_18693`
9×	`add-cbrt-cube_binary64_18691`
8×	`associate-/r*_binary64_18599`
7×	`distribute-lft-out--_binary64_18607`
5×	`pow1_binary64_18716`
4×	`associate-l_binary64_18596` `associate-/r/_binary64_18601` `div-exp_binary64_18706` `prod-exp_binary64_18704`
3×	`unswap-sqr_binary64_18623` `associate-/l*_binary64_18600`
2×	`1-exp_binary64_18699` `flip--_binary64_18630` `flip-+_binary64_18629` `rec-exp_binary64_18705` `cbrt-unprod_binary64_18688` `div-inv_binary64_18652` `flip3-+_binary64_18658` `flip3--_binary64_18659` `associate-*l/_binary64_18598` `frac-times_binary64_18665` `cbrt-undiv_binary64_18689` `add-log-exp_binary64_18694`
1×	`pow-flip_binary64_18729` `distribute-lft-out_binary64_18606` `frac-2neg_binary64_18666` `inv-pow_binary64_18740` `clear-num_binary64_18654` `associate-r/_binary64_18597` `-commutative_binary64_18586` `un-div-inv_binary64_18653` `pow-prod-down_binary64_18726`

Counts

2 → 111

Calls

2 calls:

22.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
10.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

series155.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

103.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
51.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

simplify67.0ms (2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5348	1948

prune119.0ms (3.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	117	11	128

Merged error: 5.2b

Counts

128 → 11

Compiler

Compiled 2449 to 1323 computations (46% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
7.2b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite71.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`times-frac_binary64_18661`
275×	`add-sqr-sqrt_binary64_18677`
273×	`*-un-lft-identity_binary64_18655`
107×	`add-cube-cbrt_binary64_18690`
84×	`difference-of-squares_binary64_18624`
42×	`associate-/r*_binary64_18599`
41×	`distribute-lft-out_binary64_18606`
21×	`distribute-lft-out--_binary64_18607`
15×	`add-exp-log_binary64_18693`
11×	`associate-/r/_binary64_18601` `associate-/l*_binary64_18600`
9×	`add-cbrt-cube_binary64_18691`
8×	`div-exp_binary64_18706`
6×	`div-inv_binary64_18652`
5×	`flip-+_binary64_18629` `flip3-+_binary64_18658`
4×	`cbrt-undiv_binary64_18689`
3×	`pow1_binary64_18716`
2×	`1-exp_binary64_18699` `frac-2neg_binary64_18666` `rec-exp_binary64_18705` `clear-num_binary64_18654` `associate-/l/_binary64_18602` `add-log-exp_binary64_18694`
1×	`div-sub_binary64_18660` `pow-flip_binary64_18729` `flip--_binary64_18630` `inv-pow_binary64_18740` `flip3--_binary64_18659`

Counts

2 → 237

Calls

2 calls:

23.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
15.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series245.0ms (7.3%)

Counts

2 → 6

Calls

2 calls:

178.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
66.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify113.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5161	6453

prune296.0ms (8.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	243	11	254

Merged error: 5.2b

Counts

254 → 11

Compiler

Compiled 6064 to 2952 computations (51.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 y x))
0.2b	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
7.2b	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

rewrite61.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_18693`
42×	`*-un-lft-identity_binary64_18655`
38×	`add-sqr-sqrt_binary64_18677`
31×	`times-frac_binary64_18661`
23×	`add-cube-cbrt_binary64_18690`
20×	`div-exp_binary64_18706`
19×	`add-cbrt-cube_binary64_18691`
18×	`associate-r_binary64_18595`
16×	`prod-exp_binary64_18704`
10×	`1-exp_binary64_18699` `associate-/r/_binary64_18601` `rec-exp_binary64_18705`
9×	`pow1_binary64_18716`
8×	`associate-l_binary64_18596`
7×	`distribute-lft-out_binary64_18606`
6×	`associate-/l*_binary64_18600` `cbrt-undiv_binary64_18689`
5×	`associate-/r*_binary64_18599`
4×	`flip--_binary64_18630` `cbrt-unprod_binary64_18688` `flip3--_binary64_18659` `difference-of-squares_binary64_18624` `associate-*l/_binary64_18598` `frac-times_binary64_18665`
3×	`pow-flip_binary64_18729` `unswap-sqr_binary64_18623` `div-inv_binary64_18652` `add-log-exp_binary64_18694`
2×	`frac-2neg_binary64_18666` `inv-pow_binary64_18740` `flip-+_binary64_18629` `clear-num_binary64_18654` `flip3-+_binary64_18658` `associate-*r/_binary64_18597` `un-div-inv_binary64_18653` `pow-prod-down_binary64_18726`
1×	`*-commutative_binary64_18586` `distribute-lft-out--_binary64_18607`

Counts

3 → 131

Calls

3 calls:

22.0ms	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
21.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
6.0ms	(/.f64 1 (+.f64 y x))

series292.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

176.0ms	(/.f64 1 (*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
74.0ms	(*.f64 (-.f64 1 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
42.0ms	(/.f64 1 (+.f64 y x))

simplify73.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5096	1904

prune110.0ms (3.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	140	11	151

Merged error: 5.2b

Counts

151 → 11

Compiler

Compiled 2257 to 1161 computations (48.6% saved)

regimes113.0ms (3.4%)

Compiler: Compiled 755 to 613 computations (18.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	84
1	61	84

end0.0ms (0%)

sample656.0ms (19.5%)

Algorithm

1×

intervals

Results

243.0ms	7999×	body	128	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 271 to 198 computations (26.9% saved)

Details

analyze226.0ms (6.7%)

sample15.0ms (0.4%)

simplify175.0ms (5.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite19.0ms (0.6%)

series94.0ms (2.8%)

simplify75.0ms (2.2%)

prune309.0ms (9.2%)

localize7.0ms (0.2%)

rewrite44.0ms (1.3%)

series155.0ms (4.6%)

simplify67.0ms (2%)

prune119.0ms (3.5%)

localize8.0ms (0.2%)

rewrite71.0ms (2.1%)

series245.0ms (7.3%)

simplify113.0ms (3.4%)

prune296.0ms (8.8%)

localize8.0ms (0.3%)

rewrite61.0ms (1.8%)

series292.0ms (8.7%)

simplify73.0ms (2.2%)

prune110.0ms (3.3%)

regimes113.0ms (3.4%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample656.0ms (19.5%)

Profiling