Details

analyze2.2s (11.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4964	384
1	4964	384
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14
2.4%	53.7%	43.9%	14

Symmetry

(sort x y)

Compiler

Compiled 34 to 32 computations (5.9% saved)

sample3.9s (20.8%)

Algorithm

2×

intervals

Results

34.0ms	550×	body	128	nan
31.0ms	512×	body	128	valid
8.0ms	69×	body	128	invalid

Compiler

Compiled 9893 to 12797 computations (-29.4% saved)

simplify440.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (434.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

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

0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite172.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-log-exp_binary64_11711`
18×	`add-sqr-sqrt_binary64_11694`
14×	`*-un-lft-identity_binary64_11672`
12×	`add-cube-cbrt_binary64_11707` `log-prod_binary64_11758`
10×	`sum-log_binary64_11763`
9×	`pow1_binary64_11733`
8×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `associate-l_binary64_11613`
7×	`associate-r_binary64_11612`
6×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `diff-log_binary64_11764` `flip3--_binary64_11676` `flip--_binary64_11647` `associate--r+_binary64_11608` `associate-*l/_binary64_11615`
4×	`frac-add_binary64_11680`
3×	`associate-+l+_binary64_11605`
2×	`pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603` `sub-neg_binary64_11665` `cancel-sign-sub-inv_binary64_11638` `associate--l+_binary64_11609`
1×	`log-pow_binary64_11761` `flip3-+_binary64_11675` `flip-+_binary64_11646` `associate-+l-_binary64_11607` `+-commutative_binary64_11602` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`

Counts

4 → 90

Calls

4 calls:

12.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

Compiler

Compiled 2397 to 796 computations (66.8% saved)

series1.8s (9.3%)

Error

0.1b

Counts

4 → 69

Calls

4 calls:

932.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
471.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
198.0ms	(*.f64 z (log.f64 t))
102.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 2695 to 1968 computations (27% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5219	2736

prune194.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	151	8	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	8	160

Error

0.0b

Counts

160 → 8

Compiler

Compiled 3262 to 1212 computations (62.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (-.f64 (+.f64 (+.f64 z y) x) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
0.1b	(-.f64 (+.f64 (+.f64 z y) x) (*.f64 z (log.f64 (sqrt.f64 t))))
0.3b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.3b	(*.f64 (log.f64 (sqrt.f64 t)) z)

rewrite183.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-log-exp_binary64_11711`
24×	`log-prod_binary64_11758`
20×	`add-sqr-sqrt_binary64_11694`
16×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
12×	`pow1_binary64_11733` `distribute-rgt-in_binary64_11622` `sqrt-prod_binary64_11688` `distribute-lft-in_binary64_11621` `associate--r+_binary64_11608`
10×	`diff-log_binary64_11764`
9×	`associate-l_binary64_11613` `associate-r_binary64_11612`
8×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
6×	`log-pow_binary64_11761` `sum-log_binary64_11763`
5×	`associate--l+_binary64_11609`
3×	`sub-neg_binary64_11665` `cancel-sign-sub-inv_binary64_11638`
2×	`pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `pow1/2_binary64_11752` `sqrt-pow1_binary64_11690` `*-commutative_binary64_11603` `flip3--_binary64_11676` `flip--_binary64_11647`
1×	`associate--l-_binary64_11610`

Counts

4 → 100

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (+.f64 z y) x) (*.f64 z (log.f64 (sqrt.f64 t))))
12.0ms	(-.f64 (-.f64 (+.f64 (+.f64 z y) x) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

Compiler

Compiled 3092 to 808 computations (73.9% saved)

series1.4s (7.3%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

561.0ms	(-.f64 (-.f64 (+.f64 (+.f64 z y) x) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
483.0ms	(-.f64 (+.f64 (+.f64 z y) x) (*.f64 z (log.f64 (sqrt.f64 t))))
158.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)
138.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))

Compiler

Compiled 2968 to 2008 computations (32.3% saved)

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5009	2320

prune185.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	154	8	162

Error

0.0b

Counts

162 → 8

Compiler

Compiled 4020 to 1214 computations (69.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite176.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`log-prod_binary64_11758`
36×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
30×	`cbrt-prod_binary64_11703`
26×	`add-sqr-sqrt_binary64_11694`
24×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672` `associate-+l+_binary64_11605`
12×	`associate-+r+_binary64_11604`
7×	`pow1_binary64_11733`
6×	`add-log-exp_binary64_11711` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
5×	`associate-r_binary64_11612`
3×	`pow1/3_binary64_11754` `associate-l_binary64_11613`
2×	`log-pow_binary64_11761`
1×	`sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `+-commutative_binary64_11602` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `*-commutative_binary64_11603`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 3356 to 1297 computations (61.4% saved)

series1.1s (5.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

419.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
402.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
119.0ms	(cbrt.f64 t)
107.0ms	(cbrt.f64 t)

Compiler

Compiled 1368 to 1082 computations (20.9% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5074	1320

prune172.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Error

0.0b

Counts

128 → 8

Compiler

Compiled 3509 to 1476 computations (57.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite117.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_11703`
23×	`add-sqr-sqrt_binary64_11694`
15×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
11×	`pow1_binary64_11733`
9×	`pow1/3_binary64_11754`
6×	`add-exp-log_binary64_11710` `swap-sqr_binary64_11639` `associate-l_binary64_11613` `associate-r_binary64_11612`
4×	`add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708` `unswap-sqr_binary64_11640`
2×	`pow-prod-down_binary64_11743` `pow-prod-up_binary64_11742` `pow-sqr_binary64_11645`
1×	`pow2_binary64_11753` `pow-plus_binary64_11735` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `*-commutative_binary64_11603`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2546 to 686 computations (73.1% saved)

series536.0ms (2.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

146.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
130.0ms	(cbrt.f64 z)
129.0ms	(cbrt.f64 z)
111.0ms	(cbrt.f64 z)

Compiler

Compiled 1167 to 755 computations (35.3% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune115.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 2763 to 786 computations (71.6% saved)

regimes2.4s (12.7%)

Accuracy

Total 0.1b remaining (97.2%)

Threshold costs 0.1b (97.2%)

Compiler

Compiled 27347 to 20933 computations (23.5% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	36
1	59	36

Remove

(sort x y)

Compiler

Compiled 46 to 34 computations (26.1% saved)

end0.0ms (0%)

sample3.5s (18.3%)

Algorithm

1×

intervals

Results

491.0ms	7996×	body	128	valid
459.0ms	9193×	body	128	nan
69.0ms	1206×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 2054 to 1574 computations (23.4% saved)

Details

analyze2.2s (11.7%)

sample3.9s (20.8%)

simplify440.0ms (2.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite172.0ms (0.9%)

series1.8s (9.3%)

simplify74.0ms (0.4%)

prune194.0ms (1%)

localize16.0ms (0.1%)

rewrite183.0ms (1%)

series1.4s (7.3%)

simplify64.0ms (0.3%)

prune185.0ms (1%)

localize21.0ms (0.1%)

rewrite176.0ms (0.9%)

series1.1s (5.7%)

simplify95.0ms (0.5%)

prune172.0ms (0.9%)

localize21.0ms (0.1%)

rewrite117.0ms (0.6%)

series536.0ms (2.8%)

simplify72.0ms (0.4%)

prune115.0ms (0.6%)

regimes2.4s (12.7%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample3.5s (18.3%)

Profiling