Details

analyze1.1s (8.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	112
1	4881	112
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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	67×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify272.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (267.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

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

4.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 1 z))
0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
4.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite236.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

111×	`add-sqr-sqrt_binary64_9989`
107×	`*-un-lft-identity_binary64_9967`
88×	`times-frac_binary64_9973`
72×	`cancel-sign-sub-inv_binary64_9933`
46×	`add-cube-cbrt_binary64_10002`
34×	`difference-of-squares_binary64_9936`
25×	`distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916`
21×	`distribute-lft-out--_binary64_9919`
10×	`associate-r_binary64_9907`
8×	`associate-/r/_binary64_9913`
7×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
6×	`flip3--_binary64_9971` `flip--_binary64_9942` `associate-/r*_binary64_9911`
5×	`pow1_binary64_10028` `add-log-exp_binary64_10006`
4×	`div-inv_binary64_9964`
3×	`sub-neg_binary64_9960` `associate-r/_binary64_9909` `associate-l_binary64_9908` `associate-/l_binary64_9912`
2×	`frac-sub_binary64_9976`
1×	`pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `unswap-sqr_binary64_9935` `*-commutative_binary64_9898` `diff-log_binary64_10059` `div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

3 → 162

Calls

3 calls:

33.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
22.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 3485 to 1799 computations (48.4% saved)

series573.0ms (4.2%)

Error

0.1b

Counts

3 → 66

Calls

3 calls:

298.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
161.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
67.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 2046 to 1304 computations (36.3% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5037	4104

prune196.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	218	10	228
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	11	229

Error

1.0b

Counts

229 → 11

Compiler

Compiled 4004 to 1870 computations (53.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
0.0b	(/.f64 (-.f64 1 z) t)
0.7b	(/.f64 1 (/.f64 (-.f64 1 z) t))
4.6b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))

rewrite923.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

554×	`times-frac_binary64_9973`
436×	`add-sqr-sqrt_binary64_9989`
390×	`*-un-lft-identity_binary64_9967`
239×	`add-cube-cbrt_binary64_10002`
213×	`cancel-sign-sub-inv_binary64_9933`
106×	`difference-of-squares_binary64_9936`
72×	`distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916`
49×	`distribute-lft-out--_binary64_9919`
25×	`associate-/r*_binary64_9911`
20×	`div-inv_binary64_9964`
19×	`add-exp-log_binary64_10005`
16×	`associate-r_binary64_9907`
13×	`add-cbrt-cube_binary64_10003`
9×	`associate-/l*_binary64_9912`
8×	`div-exp_binary64_10018`
7×	`pow1_binary64_10028`
6×	`add-log-exp_binary64_10006`
4×	`associate-/r/_binary64_9913` `cbrt-undiv_binary64_10001`
3×	`sub-neg_binary64_9960` `associate-r/_binary64_9909` `flip3--_binary64_9971` `flip--_binary64_9942` `associate-l*_binary64_9908`
2×	`frac-sub_binary64_9976` `1-exp_binary64_10011` `rec-exp_binary64_10017` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `associate-/l/_binary64_9914`
1×	`pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `unswap-sqr_binary64_9935` `*-commutative_binary64_9898` `inv-pow_binary64_10052` `pow-flip_binary64_10041` `div-sub_binary64_9972` `diff-log_binary64_10059`

Counts

4 → 428

Calls

4 calls:

65.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))
55.0ms	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
9.0ms	(/.f64 1 (/.f64 (-.f64 1 z) t))
7.0ms	(/.f64 (-.f64 1 z) t)

Compiler

Compiled 11288 to 6825 computations (39.5% saved)

series669.0ms (5%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

301.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t))))
171.0ms	(-.f64 (/.f64 y z) (/.f64 1 (/.f64 (-.f64 1 z) t)))
75.0ms	(/.f64 1 (/.f64 (-.f64 1 z) t))
72.0ms	(/.f64 (-.f64 1 z) t)

Compiler

Compiled 2378 to 1556 computations (34.6% saved)

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

503 → 503

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4984	10898
1	4984	10898

prune524.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	501	2	503
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	506	8	514

Error

0.0b

Counts

514 → 8

Compiler

Compiled 9923 to 4929 computations (50.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.5b	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
2.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))

rewrite149.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_9989`
20×	`*-un-lft-identity_binary64_9967`
18×	`pow1_binary64_10028` `add-exp-log_binary64_10005`
11×	`add-cbrt-cube_binary64_10003` `associate-l_binary64_9908`
10×	`cbrt-prod_binary64_9998`
9×	`pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `add-cube-cbrt_binary64_10002` `cbrt-unprod_binary64_10000`
8×	`times-frac_binary64_9973`
7×	`associate-r_binary64_9907`
6×	`associate-*l/_binary64_9910`
4×	`add-log-exp_binary64_10006` `difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919`
3×	`associate-*r/_binary64_9909`
2×	`frac-sub_binary64_9976` `flip3--_binary64_9971` `flip--_binary64_9942` `*-commutative_binary64_9898` `unswap-sqr_binary64_9935` `pow1/3_binary64_10049`

Counts

4 → 79

Calls

4 calls:

30.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
30.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2162 to 858 computations (60.3% saved)

series1.0s (7.7%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

530.0ms	(*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x))
317.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))) (cbrt.f64 x)))
76.0ms	(cbrt.f64 x)
70.0ms	(cbrt.f64 x)

Compiler

Compiled 2528 to 1644 computations (35% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5005	2186

prune113.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	135	8	143

Error

0.0b

Counts

143 → 8

Compiler

Compiled 2724 to 1111 computations (59.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) (*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))))
6.6b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
6.6b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
6.6b	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite658.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

153×	`cbrt-div_binary64_9999`
126×	`associate-*r/_binary64_9909`
81×	`frac-times_binary64_9977`
51×	`frac-sub_binary64_9976` `flip3--_binary64_9971` `flip--_binary64_9942`
45×	`pow1_binary64_10028` `add-exp-log_binary64_10005`
43×	`add-sqr-sqrt_binary64_9989`
40×	`*-un-lft-identity_binary64_9967`
36×	`pow-prod-down_binary64_10038`
31×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000`
30×	`cbrt-prod_binary64_9998`
27×	`associate-*l/_binary64_9910`
24×	`times-frac_binary64_9973`
19×	`add-cbrt-cube_binary64_10003`
12×	`difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919`
9×	`pow1/3_binary64_10049`
7×	`add-cube-cbrt_binary64_10002`
4×	`add-log-exp_binary64_10006`
1×	`associate-l_binary64_9908` `associate-r_binary64_9907` `*-commutative_binary64_9898`

Counts

4 → 167

Calls

4 calls:

96.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) (*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))))
23.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
21.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
21.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

Compiler

Compiled 11400 to 5664 computations (50.3% saved)

series2.1s (15.6%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

490.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
484.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
482.0ms	(cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
417.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))) (*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))))))

Compiler

Compiled 14728 to 10060 computations (31.7% saved)

simplify143.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5192	11884

prune724.0ms (5.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	259	9	268

Error

0.0b

Counts

268 → 9

Compiler

Compiled 14381 to 7163 computations (50.2% saved)

regimes1.5s (10.9%)

Accuracy

Total 1.2b remaining (98.9%)

Threshold costs 0b (0%)

Compiler

Compiled 10310 to 8104 computations (21.4% saved)

bsearch3.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	170
1	124	170

end0.0ms (0%)

sample2.2s (16.2%)

Algorithm

1×

intervals

Results

324.0ms	8000×	body	128	valid
66.0ms	1792×	body	128	invalid

Compiler

Compiled 1787 to 1376 computations (23% saved)

Details

analyze1.1s (8.2%)

sample26.0ms (0.2%)

simplify272.0ms (2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite236.0ms (1.8%)

series573.0ms (4.2%)

simplify89.0ms (0.7%)

prune196.0ms (1.5%)

localize9.0ms (0.1%)

rewrite923.0ms (6.8%)

series669.0ms (5%)

simplify154.0ms (1.1%)

prune524.0ms (3.9%)

localize12.0ms (0.1%)

rewrite149.0ms (1.1%)

series1.0s (7.7%)

simplify68.0ms (0.5%)

prune113.0ms (0.8%)

localize17.0ms (0.1%)

rewrite658.0ms (4.9%)

series2.1s (15.6%)

simplify143.0ms (1.1%)

prune724.0ms (5.4%)

regimes1.5s (10.9%)

bsearch3.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.2s (16.2%)

Profiling