Details

analyze904.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

8.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(-.f64 (*.f64 y z) x)
0.7b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.2b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite162.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

8.5b

Rules

44×	`*-un-lft-identity_binary64_17128`
25×	`times-frac_binary64_17134`
24×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150`
10×	`distribute-lft-out_binary64_17079`
8×	`add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164`
7×	`associate-/l_binary64_17073` `associate-/r_binary64_17072`
6×	`cancel-sign-sub-inv_binary64_17094`
4×	`pow1_binary64_17189` `flip3--_binary64_17132` `associate-/l/_binary64_17075` `flip--_binary64_17103` `associate-/r/_binary64_17074`
3×	`div-sub_binary64_17133`
2×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `flip3-+_binary64_17131` `flip-+_binary64_17102` `diff-log_binary64_17220` `sub-neg_binary64_17121`
1×	`associate-+r-_binary64_17062`

Counts

4 → 101

Calls

4 calls:

20.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 y z) x)
4.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 2913 to 791 computations (72.8% saved)

series997.0ms (10.1%)

Error

1.0b

Counts

4 → 91

Calls

4 calls:

460.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
275.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
91.0ms	(-.f64 (*.f64 y z) x)
90.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 5420 to 3469 computations (36% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4995	4244
1	4995	4244

prune169.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	188	4	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	5	193

Error

0.0b

Counts

193 → 5

Compiler

Compiled 4536 to 1300 computations (71.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite203.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`times-frac_binary64_17134`
35×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
15×	`cbrt-prod_binary64_17159`
10×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
9×	`associate-/l_binary64_17073` `associate-/r_binary64_17072`
8×	`associate-/r/_binary64_17074`
7×	`flip3--_binary64_17132` `flip--_binary64_17103`
6×	`associate-/l/_binary64_17075`
4×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `div-inv_binary64_17125`
3×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127`
1×	`pow1/3_binary64_17210` `cbrt-div_binary64_17160`

Counts

4 → 120

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
7.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))

Compiler

Compiled 6751 to 1007 computations (85.1% saved)

series1.4s (14.5%)

Error

0.0b

Counts

4 → 100

Calls

4 calls:

432.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
296.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
295.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
284.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 13880 to 5923 computations (57.3% saved)

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4964	5266
1	4964	5266

prune263.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	219	6	225

Error

0.0b

Counts

225 → 6

Compiler

Compiled 11360 to 1779 computations (84.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.2b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 z y) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 z y) x))
8.4b	(cbrt.f64 (-.f64 (*.f64 z y) x))

rewrite92.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_17159`
8×	`add-cube-cbrt_binary64_17163` `cbrt-div_binary64_17160` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
4×	`pow1/3_binary64_17210` `pow1_binary64_17189` `add-log-exp_binary64_17167` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `flip3--_binary64_17132` `flip--_binary64_17103`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 2900 to 469 computations (83.8% saved)

series884.0ms (9%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

276.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
177.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
174.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
169.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))

Compiler

Compiled 9292 to 4510 computations (51.5% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4983	1776
1	4983	1776

prune141.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Error

0.0b

Counts

114 → 6

Compiler

Compiled 5804 to 1077 computations (81.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
9.2b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite245.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `times-frac_binary64_17134` `*-un-lft-identity_binary64_17128`
12×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `associate-/l_binary64_17073` `associate-/r_binary64_17072`
8×	`flip3--_binary64_17132` `associate-/l/_binary64_17075` `flip--_binary64_17103` `associate-/r/_binary64_17074`
4×	`pow1_binary64_17189` `div-exp_binary64_17179` `add-log-exp_binary64_17167` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `div-inv_binary64_17125`

Counts

4 → 128

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 9080 to 1161 computations (87.2% saved)

series1.1s (11.1%)

Error

0.0b

Counts

4 → 86

Calls

4 calls:

250.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
248.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
246.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
245.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 13952 to 4616 computations (66.9% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	6179	4294

prune278.0ms (2.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	214	6	220

Error

0.0b

Counts

220 → 6

Compiler

Compiled 13726 to 1643 computations (88% saved)

regimes742.0ms (7.5%)

Accuracy

Total 1.9b remaining (97.4%)

Threshold costs 0b (0%)

Compiler

Compiled 8104 to 4787 computations (40.9% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	121
1	61	121

end0.0ms (0%)

sample1.7s (17.4%)

Algorithm

1×

intervals

Results

391.0ms	8000×	body	128	valid
15.0ms	335×	body	128	invalid

Compiler

Compiled 1722 to 1010 computations (41.3% saved)

Details

analyze904.0ms (9.2%)

sample25.0ms (0.3%)

simplify64.0ms (0.6%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite162.0ms (1.6%)

series997.0ms (10.1%)

simplify87.0ms (0.9%)

prune169.0ms (1.7%)

localize16.0ms (0.2%)

rewrite203.0ms (2.1%)

series1.4s (14.5%)

simplify112.0ms (1.1%)

prune263.0ms (2.7%)

localize20.0ms (0.2%)

rewrite92.0ms (0.9%)

series884.0ms (9%)

simplify76.0ms (0.8%)

prune141.0ms (1.4%)

localize20.0ms (0.2%)

rewrite245.0ms (2.5%)

series1.1s (11.1%)

simplify99.0ms (1%)

prune278.0ms (2.8%)

regimes742.0ms (7.5%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (17.4%)

Profiling