Details

analyze336.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	28
1	37	28
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
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

prune5.0ms (0.2%)

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

5.7b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.6b	(/.f64 (*.f64 x y) z)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
3×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `times-frac_binary64_17134` `-un-lft-identity_binary64_17128` `associate-/r_binary64_17072`
2×	`cbrt-undiv_binary64_17162` `div-exp_binary64_17179`
1×	`clear-num_binary64_17127` `cbrt-unprod_binary64_17161` `pow1_binary64_17189` `prod-exp_binary64_17177` `associate-/l*_binary64_17073` `frac-2neg_binary64_17139` `add-log-exp_binary64_17167` `div-inv_binary64_17125`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x y) z)

series22.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

22.0ms

(/.f64 (*.f64 x y) z)

simplify106.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4671	219
1	4671	219

prune23.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Error

0.0b

Counts

25 → 7

Compiler

Compiled 250 to 93 computations (62.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.0b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite30.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_17150`
28×	`times-frac_binary64_17134`
25×	`add-exp-log_binary64_17166`
22×	`add-cube-cbrt_binary64_17163` `associate-r_binary64_17068` `*-un-lft-identity_binary64_17128`
20×	`cbrt-prod_binary64_17159`
18×	`add-cbrt-cube_binary64_17164`
8×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177`
7×	`cbrt-undiv_binary64_17162` `div-exp_binary64_17179` `associate-l_binary64_17069`
6×	`pow1_binary64_17189` `unswap-sqr_binary64_17096`
4×	`add-log-exp_binary64_17167`
3×	`pow1/3_binary64_17210`
2×	`div-inv_binary64_17125`
1×	`associate-r/_binary64_17070` `associate-l/_binary64_17071` `frac-times_binary64_17138` `*-commutative_binary64_17059` `pow-prod-down_binary64_17199`

Counts

4 → 92

Calls

4 calls:

20.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series510.0ms (21.2%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt.f64 z)
82.0ms	(cbrt.f64 z)
82.0ms	(cbrt.f64 z)
65.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

simplify93.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4953	1221
1	4953	1221

prune74.0ms (3.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	5	5
Picked	1	0	1
Done	1	0	1
Total	105	6	111

Error

Counts

111 → 6

Compiler

Compiled 1573 to 489 computations (68.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.4b	(*.f64 x (/.f64 y z))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_17150`
13×	`associate-r_binary64_17068`
10×	`times-frac_binary64_17134`
9×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
6×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
3×	`pow1_binary64_17189` `associate-l_binary64_17069`
2×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `unswap-sqr_binary64_17096`
1×	`associate-r/_binary64_17070` `cbrt-undiv_binary64_17162` `add-log-exp_binary64_17167` `div-exp_binary64_17179` `-commutative_binary64_17059` `pow-prod-down_binary64_17199` `div-inv_binary64_17125`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 x (/.f64 y z))

series20.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 x (/.f64 y z))

simplify91.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4985	348
1	4985	348

prune25.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Error

Counts

41 → 6

Compiler

Compiled 383 to 120 computations (68.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.7b	(.f64 (.f64 x y) (/.f64 1 z))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_17166`
13×	`associate-r_binary64_17068` `add-cbrt-cube_binary64_17164`
12×	`prod-exp_binary64_17177`
9×	`times-frac_binary64_17134`
8×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
6×	`cbrt-unprod_binary64_17161` `pow1_binary64_17189`
4×	`div-exp_binary64_17179`
3×	`pow-prod-down_binary64_17199`
2×	`cbrt-undiv_binary64_17162` `1-exp_binary64_17172` `rec-exp_binary64_17178`
1×	`associate-r/_binary64_17070` `add-log-exp_binary64_17167` `un-div-inv_binary64_17126` `-commutative_binary64_17059` `associate-l_binary64_17069` `div-inv_binary64_17125`

Counts

1 → 38

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

series19.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

simplify85.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4964	381
1	4964	381

prune21.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Error

Counts

47 → 6

Compiler

Compiled 377 to 132 computations (65% saved)

regimes225.0ms (9.3%)

Accuracy

Total 2.4b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 784 to 594 computations (24.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	59
1	25	59

Compiler

Compiled 80 to 38 computations (52.5% saved)

end0.0ms (0%)

sample648.0ms (26.9%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
21.0ms	758×	body	128	invalid

Compiler

Compiled 197 to 137 computations (30.5% saved)

Details

analyze336.0ms (14%)

sample15.0ms (0.6%)

simplify7.0ms (0.3%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite6.0ms (0.2%)

series22.0ms (0.9%)

simplify106.0ms (4.4%)

prune23.0ms (0.9%)

localize9.0ms (0.4%)

rewrite30.0ms (1.3%)

series510.0ms (21.2%)

simplify93.0ms (3.8%)

prune74.0ms (3.1%)

localize4.0ms (0.2%)

rewrite10.0ms (0.4%)

series20.0ms (0.8%)

simplify91.0ms (3.8%)

prune25.0ms (1.1%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series19.0ms (0.8%)

simplify85.0ms (3.5%)

prune21.0ms (0.9%)

regimes225.0ms (9.3%)

bsearch1.0ms (0%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample648.0ms (26.9%)

Profiling