Details

analyze1.5s (25.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2700	70
1	2700	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
25%	74.9%	0.2%	7
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14
64%	35.6%	0.4%	14

Symmetry

(sort z t)

Compiler

Compiled 16 to 16 computations (0% saved)

sample164.0ms (2.8%)

Algorithm

2×

intervals

Results

15.0ms	512×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 2135 to 3199 computations (-49.8% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	126	10
1	126	10

prune3.0ms (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

Error

3.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.2b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

9×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `times-frac_binary64_17475` `*-un-lft-identity_binary64_17469`
3×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`associate-/r/_binary64_17415`
1×	`pow1_binary64_17530` `div-exp_binary64_17520` `add-log-exp_binary64_17508` `cbrt-undiv_binary64_17503` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `div-inv_binary64_17466` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

1 → 29

Calls

1 calls:

5.0ms

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

Compiler

Compiled 469 to 107 computations (77.2% saved)

series205.0ms (3.5%)

Error

3.2b

Counts

1 → 16

Calls

1 calls:

196.0ms

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

Compiler

Compiled 459 to 342 computations (25.5% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5554	663

prune50.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	36	9	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	10	46

Error

3.1b

Counts

46 → 10

Compiler

Compiled 669 to 204 computations (69.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (-.f64 y (*.f64 t z)))
3.2b	(.f64 x (/.f64 1 (-.f64 y (.f64 t z))))

rewrite86.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

25×	`add-sqr-sqrt_binary64_17491`
20×	`times-frac_binary64_17475`
19×	`*-un-lft-identity_binary64_17469`
18×	`add-cube-cbrt_binary64_17504`
15×	`add-exp-log_binary64_17507` `associate-r_binary64_17409`
9×	`add-cbrt-cube_binary64_17505`
5×	`pow1_binary64_17530`
4×	`div-exp_binary64_17520` `prod-exp_binary64_17518` `associate-/r/_binary64_17415`
3×	`unswap-sqr_binary64_17437` `associate-l_binary64_17410` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`1-exp_binary64_17513` `rec-exp_binary64_17519` `add-log-exp_binary64_17508` `cbrt-unprod_binary64_17502` `cbrt-undiv_binary64_17503` `div-inv_binary64_17466` `flip3--_binary64_17473` `flip--_binary64_17444`
1×	`pow-prod-down_binary64_17540` `un-div-inv_binary64_17467` `associate-r/_binary64_17411` `-commutative_binary64_17400` `inv-pow_binary64_17554` `pow-flip_binary64_17543` `frac-2neg_binary64_17480` `clear-num_binary64_17468`

Counts

2 → 71

Calls

2 calls:

9.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 t z))))
5.0ms	(/.f64 1 (-.f64 y (*.f64 t z)))

Compiler

Compiled 1265 to 503 computations (60.2% saved)

series295.0ms (5%)

Error

3.1b

Counts

2 → 29

Calls

2 calls:

194.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 t z))))
84.0ms	(/.f64 1 (-.f64 y (*.f64 t z)))

Compiler

Compiled 863 to 677 computations (21.6% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5211	1301

prune82.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	100	10	110

Error

3.1b

Counts

110 → 10

Compiler

Compiled 1427 to 487 computations (65.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.9b	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
3.1b	(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite130.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

84×	`times-frac_binary64_17475`
52×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
16×	`associate-/r*_binary64_17413`
15×	`add-exp-log_binary64_17507`
9×	`add-cbrt-cube_binary64_17505`
8×	`div-exp_binary64_17520`
6×	`div-inv_binary64_17466` `associate-/l*_binary64_17414`
4×	`cbrt-undiv_binary64_17503`
3×	`pow1_binary64_17530`
2×	`add-log-exp_binary64_17508` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `associate-/l/_binary64_17416` `1-exp_binary64_17513` `rec-exp_binary64_17519`
1×	`div-sub_binary64_17474` `flip3--_binary64_17473` `flip--_binary64_17444` `inv-pow_binary64_17554` `pow-flip_binary64_17543` `associate-/r/_binary64_17415`

Counts

2 → 106

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
5.0ms	(/.f64 (-.f64 y (*.f64 t z)) x)

Compiler

Compiled 2120 to 665 computations (68.6% saved)

series505.0ms (8.6%)

Error

3.1b

Counts

2 → 37

Calls

2 calls:

304.0ms	(/.f64 (-.f64 y (*.f64 t z)) x)
180.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))

Compiler

Compiled 973 to 718 computations (26.2% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5001	2525

prune115.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	6	7
Picked	1	0	1
Done	1	1	2
Total	145	8	153

Error

3.1b

Counts

153 → 8

Compiler

Compiled 2216 to 560 computations (74.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.9b	(/.f64 1 (.f64 (-.f64 y (.f64 t z)) (/.f64 1 x)))
3.3b	(.f64 (-.f64 y (.f64 t z)) (/.f64 1 x))

rewrite114.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

3.1b

Rules

46×	`add-exp-log_binary64_17507`
19×	`add-sqr-sqrt_binary64_17491`
18×	`div-exp_binary64_17520`
16×	`prod-exp_binary64_17518` `add-cbrt-cube_binary64_17505`
14×	`times-frac_binary64_17475`
13×	`-un-lft-identity_binary64_17469` `associate-r*_binary64_17409`
12×	`add-cube-cbrt_binary64_17504`
9×	`1-exp_binary64_17513` `rec-exp_binary64_17519`
7×	`pow1_binary64_17530`
6×	`associate-/r/_binary64_17415`
5×	`cbrt-undiv_binary64_17503`
4×	`cbrt-unprod_binary64_17502` `flip3--_binary64_17473` `frac-times_binary64_17479` `flip--_binary64_17444` `associate-*l/_binary64_17412`
3×	`unswap-sqr_binary64_17437` `associate-l_binary64_17410` `associate-/l*_binary64_17414`
2×	`pow-prod-down_binary64_17540` `add-log-exp_binary64_17508` `un-div-inv_binary64_17467` `associate-*r/_binary64_17411` `div-inv_binary64_17466` `pow-flip_binary64_17543`
1×	`-commutative_binary64_17400` `inv-pow_binary64_17554` `frac-2neg_binary64_17480` `clear-num_binary64_17468` `associate-/r_binary64_17413`

Counts

2 → 84

Calls

2 calls:

11.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 t z)) (/.f64 1 x)))
9.0ms	(.f64 (-.f64 y (.f64 t z)) (/.f64 1 x))

Compiler

Compiled 1569 to 735 computations (53.2% saved)

series492.0ms (8.3%)

Error

3.1b

Counts

2 → 37

Calls

2 calls:

289.0ms	(.f64 (-.f64 y (.f64 t z)) (/.f64 1 x))
183.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 t z)) (/.f64 1 x)))

Compiler

Compiled 973 to 718 computations (26.2% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5162	1479

prune84.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Error

3.1b

Counts

129 → 9

Compiler

Compiled 1454 to 428 computations (70.6% saved)

regimes533.0ms (9%)

Accuracy

Total 0.1b remaining (3.2%)

Threshold costs 0.1b (3.2%)

Compiler

Compiled 5365 to 3561 computations (33.6% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

Remove

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.2s (19.8%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
10.0ms	359×	body	128	invalid

Compiler

Compiled 813 to 539 computations (33.7% saved)

Details

analyze1.5s (25.4%)

sample164.0ms (2.8%)

simplify12.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite42.0ms (0.7%)

series205.0ms (3.5%)

simplify67.0ms (1.1%)

prune50.0ms (0.8%)

localize8.0ms (0.1%)

rewrite86.0ms (1.5%)

series295.0ms (5%)

simplify60.0ms (1%)

prune82.0ms (1.4%)

localize7.0ms (0.1%)

rewrite130.0ms (2.2%)

series505.0ms (8.6%)

simplify81.0ms (1.4%)

prune115.0ms (2%)

localize8.0ms (0.1%)

rewrite114.0ms (1.9%)

series492.0ms (8.3%)

simplify73.0ms (1.2%)

prune84.0ms (1.4%)

regimes533.0ms (9%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.2s (19.8%)

Profiling