Details

analyze813.0ms (11.3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	40
1	361	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14
71.3%	17.6%	11.1%	14

Symmetry

(sort y z)

Compiler

Compiled 16 to 16 computations (0% saved)

sample363.0ms (5%)

Algorithm

2×

intervals

Results

13.0ms	512×	body	128	valid
3.0ms	107×	body	128	invalid

Compiler

Compiled 2471 to 3395 computations (-37.4% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	241	10
1	241	10

prune3.0ms (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

4.6b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.3b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

4.5b

Rules

5×	`add-sqr-sqrt_binary64_7261`
3×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274` `-un-lft-identity_binary64_7239` `associate-l_binary64_7180` `associate-r*_binary64_7179`
2×	`sub-neg_binary64_7232` `distribute-rgt-in_binary64_7189` `cancel-sign-sub-inv_binary64_7205` `distribute-lft-in_binary64_7188` `associate-*r/_binary64_7181`
1×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `flip3--_binary64_7243` `flip--_binary64_7214` `*-commutative_binary64_7170`

Counts

1 → 24

Calls

1 calls:

6.0ms

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

Compiler

Compiled 340 to 178 computations (47.6% saved)

series191.0ms (2.6%)

Error

4.5b

Counts

1 → 15

Calls

1 calls:

183.0ms

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

Compiler

Compiled 249 to 171 computations (31.3% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4868	429
1	4868	429

prune39.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	8	40

Error

4.4b

Counts

40 → 8

Compiler

Compiled 507 to 263 computations (48.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))))
4.5b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
4.5b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
4.5b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite137.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

18×	`cbrt-div_binary64_7271`
10×	`associate-*r/_binary64_7181`
9×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `flip3--_binary64_7243` `flip--_binary64_7214` `cbrt-prod_binary64_7270` `add-sqr-sqrt_binary64_7261`
8×	`add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
7×	`add-cbrt-cube_binary64_7275`
4×	`add-log-exp_binary64_7278` `frac-times_binary64_7249`
3×	`pow1/3_binary64_7321` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `associate-l_binary64_7180`
2×	`associate-*l/_binary64_7182`
1×	`unswap-sqr_binary64_7207` `associate-r_binary64_7179` `*-commutative_binary64_7170`

Counts

4 → 66

Calls

4 calls:

11.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 2168 to 1227 computations (43.4% saved)

series1.1s (14.7%)

Error

4.4b

Counts

4 → 59

Calls

4 calls:

491.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))))
170.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
157.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
150.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

Compiler

Compiled 4349 to 3194 computations (26.6% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4924	2138
1	4924	2138

prune195.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	124	9	133

Error

4.4b

Counts

133 → 9

Compiler

Compiled 3490 to 1951 computations (44.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.5b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
4.5b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
4.5b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
4.5b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite141.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

12×	`cbrt-prod_binary64_7270`
8×	`add-cube-cbrt_binary64_7274` `cbrt-div_binary64_7271` `add-sqr-sqrt_binary64_7261` `*-un-lft-identity_binary64_7239`
4×	`pow1/3_binary64_7321` `pow1_binary64_7300` `add-log-exp_binary64_7278` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `flip3--_binary64_7243` `flip--_binary64_7214`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

Compiler

Compiled 2484 to 1495 computations (39.8% saved)

series809.0ms (11.2%)

Error

4.4b

Counts

4 → 56

Calls

4 calls:

172.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
172.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
171.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
161.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

Compiler

Compiled 6460 to 4495 computations (30.4% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4928	1580
1	4928	1580

prune258.0ms (3.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	108	9	117

Error

4.4b

Counts

117 → 9

Compiler

Compiled 4835 to 2836 computations (41.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 z y))))
4.3b	(.f64 x (-.f64 1 (.f64 z y)))
4.3b	(.f64 x (-.f64 1 (.f64 z y)))
4.3b	(.f64 x (-.f64 1 (.f64 z y)))

rewrite164.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

16×	`add-sqr-sqrt_binary64_7261`
10×	`pow1_binary64_7300` `add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `add-cube-cbrt_binary64_7274` `*-un-lft-identity_binary64_7239`
9×	`associate-l_binary64_7180` `associate-r_binary64_7179`
8×	`associate-*r/_binary64_7181`
6×	`sub-neg_binary64_7232` `distribute-rgt-in_binary64_7189` `cancel-sign-sub-inv_binary64_7205` `distribute-lft-in_binary64_7188`
4×	`add-log-exp_binary64_7278` `flip3--_binary64_7243` `flip--_binary64_7214`
3×	`pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `cbrt-unprod_binary64_7272` `unswap-sqr_binary64_7207` `*-commutative_binary64_7170`
2×	`cbrt-div_binary64_7271`
1×	`pow1/3_binary64_7321` `cbrt-prod_binary64_7270`

Counts

4 → 83

Calls

4 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 z y)))
6.0ms	(.f64 x (-.f64 1 (.f64 z y)))
6.0ms	(.f64 x (-.f64 1 (.f64 z y)))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 z y))))

Compiler

Compiled 2771 to 1503 computations (45.8% saved)

series1.0s (14.5%)

Error

4.4b

Counts

4 → 64

Calls

4 calls:

414.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 z y))))
187.0ms	(.f64 x (-.f64 1 (.f64 z y)))
183.0ms	(.f64 x (-.f64 1 (.f64 z y)))
173.0ms	(.f64 x (-.f64 1 (.f64 z y)))

Compiler

Compiled 4841 to 3067 computations (36.6% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4976	1887
1	4976	1887

prune229.0ms (3.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	146	10	156

Error

4.4b

Counts

156 → 10

Compiler

Compiled 4350 to 2246 computations (48.4% saved)

regimes360.0ms (5%)

Accuracy

Total 0.1b remaining (4.2%)

Threshold costs 0.1b (4.2%)

Compiler

Compiled 3606 to 2724 computations (24.5% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	10
1	51	10

Remove

(sort y z)

Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample1.0s (14.1%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
39.0ms	1598×	body	128	invalid

Compiler

Compiled 551 to 416 computations (24.5% saved)

Details

analyze813.0ms (11.3%)

sample363.0ms (5%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite33.0ms (0.5%)

series191.0ms (2.6%)

simplify60.0ms (0.8%)

prune39.0ms (0.5%)

localize12.0ms (0.2%)

rewrite137.0ms (1.9%)

series1.1s (14.7%)

simplify60.0ms (0.8%)

prune195.0ms (2.7%)

localize17.0ms (0.2%)

rewrite141.0ms (2%)

series809.0ms (11.2%)

simplify90.0ms (1.2%)

prune258.0ms (3.6%)

localize12.0ms (0.2%)

rewrite164.0ms (2.3%)

series1.0s (14.5%)

simplify74.0ms (1%)

prune229.0ms (3.2%)

regimes360.0ms (5%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.0s (14.1%)

Profiling