Details

analyze625.0ms (9.5%)

Algorithm

1×

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	32×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	1166	13
1	1166	13

prune4.0ms (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: 5.1b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.2b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite73.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

27.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms	(/.f64 2 (-.f64 y t))

series323.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

159.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
113.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
50.0ms	(/.f64 2 (-.f64 y t))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4955	4396
1	4955	4396

prune242.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	228	9	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	228	11	239

Merged error: 0.0b

Counts

239 → 11

Compiler

Compiled 4503 to 2100 computations (53.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
0.6b	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
2.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

rewrite117.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

179×	`times-frac_binary64`
156×	`add-sqr-sqrt_binary64`
128×	`*-un-lft-identity_binary64`
102×	`associate-r_binary64`
92×	`add-cube-cbrt_binary64`
85×	`cbrt-prod_binary64`
42×	`add-exp-log_binary64`
34×	`cbrt-div_binary64`
31×	`add-cbrt-cube_binary64`
23×	`associate-l_binary64`
17×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
15×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
14×	`associate-/r/_binary64`
13×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`unswap-sqr_binary64`
10×	`swap-sqr_binary64`
9×	`frac-times_binary64`
8×	`pow1/3_binary64`
5×	`associate-r/_binary64` `div-inv_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 233

Calls

4 calls:

60.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))
17.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
4.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))

series846.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
221.0ms	(cbrt.f64 (-.f64 y t))
208.0ms	(cbrt.f64 (-.f64 y t))
188.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5086	6733

prune271.0ms (4.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	242	3	245
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	244	12	256

Merged error: 0b

Counts

256 → 12

Compiler

Compiled 7346 to 2378 computations (67.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
2.0b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z))

rewrite93.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
126×	`cbrt-prod_binary64`
122×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
76×	`associate-r_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`pow1_binary64`
12×	`cbrt-unprod_binary64` `associate-/r/_binary64` `prod-exp_binary64`
11×	`cbrt-div_binary64`
9×	`associate-*r/_binary64`
7×	`div-inv_binary64`
6×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`
5×	`frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `pow1/3_binary64` `div-exp_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 197

Calls

4 calls:

46.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z))
6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))

series1.1s (17.4%)

Counts

4 → 12

Calls

4 calls:

322.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t))))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) z))
282.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
271.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
263.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4893	5082
1	4893	5082

prune329.0ms (5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	210	11	221

Merged error: 0b

Counts

221 → 11

Compiler

Compiled 6284 to 3531 computations (43.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
2.0b	(.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 y t))) z))

rewrite128.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

306×	`times-frac_binary64`
185×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
171×	`cbrt-prod_binary64`
166×	`associate-r_binary64`
149×	`add-cube-cbrt_binary64`
112×	`add-exp-log_binary64`
68×	`add-cbrt-cube_binary64`
54×	`cbrt-unprod_binary64` `prod-exp_binary64`
33×	`cbrt-undiv_binary64` `div-exp_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`pow1_binary64`
6×	`cbrt-div_binary64` `pow-prod-down_binary64` `associate-/r/_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `frac-times_binary64` `-commutative_binary64`

Counts

4 → 256

Calls

4 calls:

68.0ms	(.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 y t))) z))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

series326.0ms (5%)

Counts

4 → 6

Calls

4 calls:

325.0ms	(.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (.f64 (cbrt.f64 2) (cbrt.f64 2))) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 y t))) z))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

simplify135.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4969	10137
1	4969	10137

prune389.0ms (5.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	262	11	273

Merged error: 0b

Counts

273 → 11

Compiler

Compiled 9311 to 3889 computations (58.2% saved)

regimes261.0ms (4%)

Compiler: Compiled 1528 to 1253 computations (18% saved)

bsearch1.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	97
1	69	97

end0.0ms (0%)

sample828.0ms (12.6%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
25.0ms	720×	body	128	invalid

Compiler

Compiled 339 to 244 computations (28% saved)

Details

analyze625.0ms (9.5%)

sample23.0ms (0.4%)

simplify67.0ms (1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite73.0ms (1.1%)

series323.0ms (4.9%)

simplify86.0ms (1.3%)

prune242.0ms (3.7%)

localize13.0ms (0.2%)

rewrite117.0ms (1.8%)

series846.0ms (12.9%)

simplify79.0ms (1.2%)

prune271.0ms (4.1%)

localize12.0ms (0.2%)

rewrite93.0ms (1.4%)

series1.1s (17.4%)

simplify117.0ms (1.8%)

prune329.0ms (5%)

localize15.0ms (0.2%)

rewrite128.0ms (2%)

series326.0ms (5%)

simplify135.0ms (2.1%)

prune389.0ms (5.9%)

regimes261.0ms (4%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample828.0ms (12.6%)

Profiling