Details

analyze1.4s (15.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4789	143
1	4789	143
0	5	5
1	5	5

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	70×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

prune4.0ms (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

5.9b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
6.5b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite95.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
10×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`add-cube-cbrt_binary64_9661`
6×	`cancel-sign-sub-inv_binary64_9592`
5×	`pow1_binary64_9687` `add-log-exp_binary64_9665` `associate-r_binary64_9566`
4×	`associate-*r/_binary64_9568` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
3×	`times-frac_binary64_9632` `associate-/r_binary64_9570` `associate-l*_binary64_9567`
2×	`prod-exp_binary64_9675` `div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `cbrt-unprod_binary64_9659` `flip3--_binary64_9630` `associate-/l/_binary64_9573` `flip--_binary64_9601` `sub-neg_binary64_9619`
1×	`frac-2neg_binary64_9637` `clear-num_binary64_9625` `div-inv_binary64_9623` `associate-/l_binary64_9571` `pow-prod-down_binary64_9697` `unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `-commutative_binary64_9557` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `distribute-lft-out_binary64_9577` `+-commutative_binary64_9556`

Counts

3 → 65

Calls

3 calls:

12.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 1047 to 301 computations (71.3% saved)

series814.0ms (8.9%)

Error

0.1b

Counts

3 → 63

Calls

3 calls:

384.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
292.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
96.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1636 to 1032 computations (36.9% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5038	1370

prune88.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	9	129

Error

Counts

129 → 9

Compiler

Compiled 1507 to 333 computations (77.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
0.6b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
5.6b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite196.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`add-sqr-sqrt_binary64_9648`
45×	`*-un-lft-identity_binary64_9626`
40×	`times-frac_binary64_9632` `associate-r_binary64_9566`
39×	`cbrt-prod_binary64_9657`
33×	`add-cube-cbrt_binary64_9661`
27×	`add-exp-log_binary64_9664`
18×	`add-cbrt-cube_binary64_9662`
13×	`pow1_binary64_9687` `associate-l_binary64_9567`
10×	`unswap-sqr_binary64_9594`
9×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
8×	`pow1/3_binary64_9708`
7×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660`
6×	`difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `swap-sqr_binary64_9593`
4×	`add-log-exp_binary64_9665`
3×	`pow-prod-down_binary64_9697`
2×	`div-inv_binary64_9623` `*-commutative_binary64_9557` `pow-prod-up_binary64_9696` `pow-sqr_binary64_9599`
1×	`frac-times_binary64_9636` `associate-l/_binary64_9569` `associate-r/_binary64_9568` `pow2_binary64_9707` `pow-plus_binary64_9689`

Counts

4 → 133

Calls

4 calls:

27.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
6.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 3207 to 653 computations (79.6% saved)

series614.0ms (6.7%)

Error

Counts

4 → 27

Calls

4 calls:

284.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
124.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
99.0ms	(cbrt.f64 a)
92.0ms	(cbrt.f64 a)

Compiler

Compiled 1020 to 710 computations (30.4% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4959	2009
1	4959	2009

prune187.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	160	9	169

Error

Counts

169 → 9

Compiler

Compiled 2993 to 866 computations (71.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
0.0b	(*.f64 (-.f64 z t) y)
0.5b	(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
6.5b	(/.f64 a (*.f64 (-.f64 z t) y))

rewrite163.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_9632`
32×	`add-exp-log_binary64_9664`
31×	`*-un-lft-identity_binary64_9626`
30×	`add-sqr-sqrt_binary64_9648`
26×	`add-cube-cbrt_binary64_9661`
20×	`add-cbrt-cube_binary64_9662`
14×	`div-exp_binary64_9677`
12×	`associate-*l/_binary64_9569`
11×	`associate-/r/_binary64_9572`
10×	`associate-/r*_binary64_9570`
7×	`pow1_binary64_9687` `cbrt-undiv_binary64_9660` `div-inv_binary64_9623`
6×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `flip--_binary64_9601` `associate-/l*_binary64_9571`
5×	`prod-exp_binary64_9675` `associate-l_binary64_9567`
3×	`cbrt-unprod_binary64_9659` `1-exp_binary64_9670` `rec-exp_binary64_9676` `associate-r_binary64_9566`
2×	`frac-2neg_binary64_9637` `clear-num_binary64_9625` `distribute-lft-out_binary64_9577`
1×	`inv-pow_binary64_9711` `pow-flip_binary64_9700` `pow-prod-down_binary64_9697` `unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `*-commutative_binary64_9557` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `+-commutative_binary64_9556`

Counts

4 → 122

Calls

4 calls:

19.0ms	(+.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
15.0ms	(/.f64 a (*.f64 (-.f64 z t) y))
12.0ms	(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
7.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2347 to 876 computations (62.7% saved)

series963.0ms (10.5%)

Error

Counts

4 → 81

Calls

4 calls:

380.0ms	(+.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
208.0ms	(/.f64 a (*.f64 (-.f64 z t) y))
208.0ms	(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
114.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2467 to 1670 computations (32.3% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5019	2676

prune162.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	205	7	212

Error

Counts

212 → 7

Compiler

Compiled 2789 to 821 computations (70.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
5.6b	(/.f64 (-.f64 z t) (/.f64 a y))

rewrite148.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_9632`
88×	`*-un-lft-identity_binary64_9626`
86×	`add-sqr-sqrt_binary64_9648`
58×	`add-cube-cbrt_binary64_9661`
14×	`difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`
13×	`associate-/r*_binary64_9570`
7×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `div-inv_binary64_9623`
5×	`associate-/l*_binary64_9571`
4×	`add-log-exp_binary64_9665`
3×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660`
2×	`pow1_binary64_9687` `div-sub_binary64_9631` `associate-/l/_binary64_9573`
1×	`frac-2neg_binary64_9637` `clear-num_binary64_9625` `flip3--_binary64_9630` `flip--_binary64_9601` `associate-/r/_binary64_9572` `sum-log_binary64_9717` `flip3-+_binary64_9629` `flip-+_binary64_9600` `distribute-lft-out_binary64_9577` `associate-+r-_binary64_9560` `+-commutative_binary64_9556`

Counts

2 → 114

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
15.0ms	(/.f64 (-.f64 z t) (/.f64 a y))

Compiler

Compiled 2282 to 561 computations (75.4% saved)

series643.0ms (7%)

Error

Counts

2 → 48

Calls

2 calls:

392.0ms	(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
230.0ms	(/.f64 (-.f64 z t) (/.f64 a y))

Compiler

Compiled 1261 to 792 computations (37.2% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4993	2984
1	4993	2984

prune113.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	162	7	169

Error

Counts

169 → 7

Compiler

Compiled 2446 to 421 computations (82.8% saved)

regimes1.2s (13.6%)

Accuracy

Total 0.4b remaining (99.7%)

Threshold costs 0.4b (99.7%)

Compiler

Compiled 6427 to 5327 computations (17.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	69
1	63	69

end0.0ms (0%)

sample1.8s (19.6%)

Algorithm

1×

intervals

Results

350.0ms	8000×	body	128	valid
110.0ms	2481×	body	128	invalid

Compiler

Compiled 718 to 579 computations (19.4% saved)

Details

analyze1.4s (15.4%)

sample31.0ms (0.3%)

simplify77.0ms (0.8%)

prune4.0ms (0%)

localize14.0ms (0.2%)

rewrite95.0ms (1%)

series814.0ms (8.9%)

simplify85.0ms (0.9%)

prune88.0ms (1%)

localize20.0ms (0.2%)

rewrite196.0ms (2.1%)

series614.0ms (6.7%)

simplify81.0ms (0.9%)

prune187.0ms (2%)

localize15.0ms (0.2%)

rewrite163.0ms (1.8%)

series963.0ms (10.5%)

simplify84.0ms (0.9%)

prune162.0ms (1.8%)

localize8.0ms (0.1%)

rewrite148.0ms (1.6%)

series643.0ms (7%)

simplify93.0ms (1%)

prune113.0ms (1.2%)

regimes1.2s (13.6%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (19.6%)

Profiling