Details

analyze623.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample44.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

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

8.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.1b	(.f64 y (+.f64 1 (.f64 z z)))
4.3b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite37.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_9973`
26×	`add-exp-log_binary64_10005`
20×	`add-sqr-sqrt_binary64_9989`
18×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
16×	`add-cbrt-cube_binary64_10003`
13×	`associate-/l*_binary64_9912`
12×	`div-exp_binary64_10018`
6×	`cbrt-undiv_binary64_10001`
5×	`prod-exp_binary64_10016`
4×	`associate-*r/_binary64_9909` `pow1_binary64_10028`
3×	`cbrt-unprod_binary64_10000` `associate-l_binary64_9908` `associate-r_binary64_9907` `div-inv_binary64_9964`
2×	`flip3-+_binary64_9970` `1-exp_binary64_10011` `rec-exp_binary64_10017` `flip-+_binary64_9941` `add-log-exp_binary64_10006` `associate-/r/_binary64_9913`
1×	`associate-/l/_binary64_9914` `distribute-lft-in_binary64_9916` `pow-prod-down_binary64_10038` `distribute-rgt-in_binary64_9917` `unswap-sqr_binary64_9935` `associate-/r_binary64_9911` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `-commutative_binary64_9898`

Counts

2 → 74

Calls

2 calls:

16.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
10.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series480.0ms (4.5%)

Counts

2 → 25

Calls

2 calls:

344.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
136.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 518 to 464 computations (10.4% saved)

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4965	1732
1	4965	1732

prune161.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Error

6.1b

Counts

100 → 7

Compiler

Compiled 1706 to 1008 computations (40.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
2.2b	(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
5.7b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))

rewrite205.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

354×	`times-frac_binary64_9973`
245×	`add-sqr-sqrt_binary64_9989`
193×	`add-exp-log_binary64_10005`
171×	`*-un-lft-identity_binary64_9967`
157×	`add-cube-cbrt_binary64_10002`
109×	`div-exp_binary64_10018`
77×	`cbrt-prod_binary64_9998`
72×	`associate-r_binary64_9907`
55×	`prod-exp_binary64_10016`
52×	`add-cbrt-cube_binary64_10003`
30×	`cbrt-undiv_binary64_10001`
25×	`associate-l_binary64_9908`
24×	`unswap-sqr_binary64_9935`
22×	`associate-/l*_binary64_9912`
19×	`1-exp_binary64_10011` `rec-exp_binary64_10017`
15×	`cbrt-unprod_binary64_10000`
13×	`div-inv_binary64_9964`
6×	`pow1_binary64_10028`
4×	`add-log-exp_binary64_10006` `associate-/r/_binary64_9913`
3×	`associate-/r*_binary64_9911`
2×	`flip3-+_binary64_9970` `pow1/3_binary64_10049` `flip-+_binary64_9941`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-/l/_binary64_9914` `pow-prod-down_binary64_10038` `associate-r/_binary64_9909` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

4 → 317

Calls

4 calls:

95.0ms	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))
17.0ms	(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series1.1s (10.6%)

Counts

4 → 34

Calls

4 calls:

438.0ms	(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
433.0ms	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) y) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))
135.0ms	(cbrt.f64 x)
131.0ms	(cbrt.f64 x)

Compiler

Compiled 1141 to 972 computations (14.8% saved)

simplify301.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4964	9196
1	4964	9196

prune921.0ms (8.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	350	8	358

Error

6.1b

Counts

358 → 8

Compiler

Compiled 9500 to 5163 computations (45.7% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.6b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
5.0b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

rewrite113.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_9973`
126×	`add-sqr-sqrt_binary64_9989`
93×	`*-un-lft-identity_binary64_9967`
86×	`add-cube-cbrt_binary64_10002`
76×	`add-exp-log_binary64_10005`
45×	`associate-r_binary64_9907`
40×	`div-exp_binary64_10018`
28×	`add-cbrt-cube_binary64_10003`
20×	`prod-exp_binary64_10016`
13×	`associate-l_binary64_9908` `associate-/l*_binary64_9912`
12×	`cbrt-undiv_binary64_10001` `unswap-sqr_binary64_9935`
10×	`1-exp_binary64_10011` `rec-exp_binary64_10017` `div-inv_binary64_9964`
6×	`cbrt-unprod_binary64_10000`
4×	`pow1_binary64_10028` `associate-/r/_binary64_9913`
3×	`associate-/r*_binary64_9911`
2×	`flip3-+_binary64_9970` `flip-+_binary64_9941` `add-log-exp_binary64_10006`
1×	`frac-times_binary64_9977` `associate-l/_binary64_9910` `associate-/l/_binary64_9914` `pow-prod-down_binary64_10038` `associate-r/_binary64_9909` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`

Counts

2 → 182

Calls

2 calls:

52.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
16.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

series554.0ms (5.1%)

Counts

2 → 29

Calls

2 calls:

349.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
204.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

Compiler

Compiled 664 to 588 computations (11.4% saved)

simplify205.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4992	4771
1	4992	4771

prune397.0ms (3.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	207	4	211
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	210	9	219

Error

6.1b

Counts

219 → 9

Compiler

Compiled 4534 to 2799 computations (38.3% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 1 x) y)
7.4b	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

rewrite104.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

468×	`times-frac_binary64_9973`
228×	`add-sqr-sqrt_binary64_9989` `add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
56×	`associate-/l*_binary64_9912`
26×	`add-exp-log_binary64_10005`
22×	`div-inv_binary64_9964`
17×	`div-exp_binary64_10018`
16×	`add-cbrt-cube_binary64_10003`
9×	`cbrt-undiv_binary64_10001`
6×	`associate-/r*_binary64_9911`
2×	`1-exp_binary64_10011` `associate-/l/_binary64_9914` `rec-exp_binary64_10017` `add-log-exp_binary64_10006` `pow1_binary64_10028` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `associate-/r/_binary64_9913`
1×	`flip3-+_binary64_9970` `flip-+_binary64_9941`

Counts

2 → 268

Calls

2 calls:

33.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
11.0ms	(/.f64 (/.f64 1 x) y)

series466.0ms (4.3%)

Counts

2 → 22

Calls

2 calls:

373.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
93.0ms	(/.f64 (/.f64 1 x) y)

Compiler

Compiled 495 to 434 computations (12.3% saved)

simplify248.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5537	8308

prune614.0ms (5.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	291	8	299

Error

6.1b

Counts

299 → 8

Compiler

Compiled 6659 to 3608 computations (45.8% saved)

regimes1.2s (11.5%)

Accuracy

Total 0.4b remaining (7%)

Threshold costs 0.4b (7%)

Compiler

Compiled 6731 to 5515 computations (18.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	50
1	23	50

Compiler

Compiled 68 to 48 computations (29.4% saved)

end0.0ms (0%)

sample2.7s (24.8%)

Algorithm

1×

intervals

Results

539.0ms	8000×	body	128	valid
29.0ms	451×	body	128	invalid

Compiler

Compiled 901 to 726 computations (19.4% saved)

Details

analyze623.0ms (5.8%)

sample44.0ms (0.4%)

simplify22.0ms (0.2%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite37.0ms (0.3%)

series480.0ms (4.5%)

simplify139.0ms (1.3%)

prune161.0ms (1.5%)

localize22.0ms (0.2%)

rewrite205.0ms (1.9%)

series1.1s (10.6%)

simplify301.0ms (2.8%)

prune921.0ms (8.6%)

localize18.0ms (0.2%)

rewrite113.0ms (1%)

series554.0ms (5.1%)

simplify205.0ms (1.9%)

prune397.0ms (3.7%)

localize13.0ms (0.1%)

rewrite104.0ms (1%)

series466.0ms (4.3%)

simplify248.0ms (2.3%)

prune614.0ms (5.7%)

regimes1.2s (11.5%)

bsearch3.0ms (0%)

simplify17.0ms (0.2%)

end0.0ms (0%)

sample2.7s (24.8%)

Profiling