Details

analyze2.4s (14%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5146	209
0	5	5
1	5	5

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14
15.6%	84.2%	0.2%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample293.0ms (1.7%)

Algorithm

2×

intervals

Results

23.0ms	512×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 3807 to 4890 computations (-28.4% saved)

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4869	19
1	4869	19

prune4.0ms (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

1.4b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
8.2b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite539.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

417×	`*-un-lft-identity_binary64_16105`
373×	`times-frac_binary64_16111`
239×	`add-sqr-sqrt_binary64_16127`
152×	`add-cube-cbrt_binary64_16140`
100×	`cancel-sign-sub-inv_binary64_16071`
77×	`distribute-lft-out--_binary64_16057`
74×	`distribute-lft-out_binary64_16056`
42×	`difference-of-squares_binary64_16074`
22×	`associate-/r*_binary64_16049`
14×	`div-inv_binary64_16102`
10×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141` `associate-/l*_binary64_16050`
5×	`add-log-exp_binary64_16144`
4×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `associate-/l/_binary64_16052`
3×	`pow1_binary64_16166` `div-sub_binary64_16110`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `flip3--_binary64_16109` `flip--_binary64_16080` `associate-/r/_binary64_16051`
1×	`associate-+l-_binary64_16040` `flip3-+_binary64_16108` `flip-+_binary64_16079` `diff-log_binary64_16197` `sub-neg_binary64_16098` `associate--r-_binary64_16044`

Counts

3 → 291

Calls

3 calls:

40.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
18.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 7805 to 3355 computations (57% saved)

series1.7s (10%)

Error

0.0b

Counts

3 → 80

Calls

3 calls:

922.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
501.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
182.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 5362 to 3476 computations (35.2% saved)

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

371 → 371

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5588	12255

prune518.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	367	4	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	367	5	372

Error

Counts

372 → 5

Compiler

Compiled 9428 to 3674 computations (61% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a))
0.0b	(/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z)))
1.0b	(*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a)

rewrite173.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`*-un-lft-identity_binary64_16105`
54×	`add-sqr-sqrt_binary64_16127`
51×	`times-frac_binary64_16111`
31×	`associate-l_binary64_16046`
27×	`add-cube-cbrt_binary64_16140`
22×	`distribute-lft-out_binary64_16056` `distribute-lft-out--_binary64_16057`
11×	`difference-of-squares_binary64_16074`
10×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
5×	`pow1_binary64_16166` `add-log-exp_binary64_16144` `associate-/l_binary64_16050` `associate-/r_binary64_16049`
4×	`associate-/r/_binary64_16051`
3×	`associate-r_binary64_16045`
2×	`div-exp_binary64_16156` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `cbrt-undiv_binary64_16139` `unswap-sqr_binary64_16073` `div-inv_binary64_16102` `flip3-+_binary64_16108` `flip-+_binary64_16079` `flip3--_binary64_16109` `associate-/l/_binary64_16052` `flip--_binary64_16080`
1×	`pow-prod-down_binary64_16176` `associate-l/_binary64_16048` `-commutative_binary64_16036` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071`

Counts

3 → 114

Calls

3 calls:

16.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a)
13.0ms	(/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z)))
3.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a))

Compiler

Compiled 2694 to 1174 computations (56.4% saved)

series1.9s (10.7%)

Error

Counts

3 → 89

Calls

3 calls:

875.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a))
531.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z))) a)
307.0ms	(/.f64 (-.f64 y z) (+.f64 1 (-.f64 t z)))

Compiler

Compiled 6584 to 4387 computations (33.4% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5032	6540

prune256.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	203	5	208

Error

Counts

208 → 5

Compiler

Compiled 5486 to 2486 computations (54.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a)))
0.0b	(/.f64 1 (+.f64 1 (-.f64 t z)))
0.1b	(*.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a)
7.3b	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a))

rewrite211.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`*-un-lft-identity_binary64_16105`
34×	`add-sqr-sqrt_binary64_16127`
32×	`add-exp-log_binary64_16143` `times-frac_binary64_16111`
26×	`associate-l_binary64_16046`
25×	`add-cube-cbrt_binary64_16140`
20×	`add-cbrt-cube_binary64_16141`
14×	`distribute-lft-out_binary64_16056`
13×	`prod-exp_binary64_16154`
12×	`pow1_binary64_16166`
8×	`distribute-lft-out--_binary64_16057`
7×	`cbrt-unprod_binary64_16138`
6×	`div-exp_binary64_16156` `add-log-exp_binary64_16144` `associate-*l/_binary64_16048`
5×	`associate-/r*_binary64_16049`
4×	`pow-prod-down_binary64_16176` `associate-r_binary64_16045` `associate-/r/_binary64_16051`
3×	`1-exp_binary64_16149` `rec-exp_binary64_16155` `cbrt-undiv_binary64_16139` `flip3--_binary64_16109` `flip--_binary64_16080` `unswap-sqr_binary64_16073` `associate-/l*_binary64_16050`
2×	`frac-times_binary64_16115` `*-commutative_binary64_16036` `div-inv_binary64_16102` `flip3-+_binary64_16108` `flip-+_binary64_16079`
1×	`associate-*r/_binary64_16047` `difference-of-squares_binary64_16074` `inv-pow_binary64_16190` `pow-flip_binary64_16179` `frac-2neg_binary64_16116` `clear-num_binary64_16104` `diff-log_binary64_16197` `sub-neg_binary64_16098` `cancel-sign-sub-inv_binary64_16071`

Counts

4 → 125

Calls

4 calls:

16.0ms	(*.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a)
16.0ms	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a))
8.0ms	(/.f64 1 (+.f64 1 (-.f64 t z)))
4.0ms	(-.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a)))

Compiler

Compiled 3037 to 1637 computations (46.1% saved)

series1.9s (11.1%)

Error

Counts

4 → 104

Calls

4 calls:

856.0ms	(-.f64 x (.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a)))
529.0ms	(.f64 (-.f64 y z) (.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a))
237.0ms	(*.f64 (/.f64 1 (+.f64 1 (-.f64 t z))) a)
150.0ms	(/.f64 1 (+.f64 1 (-.f64 t z)))

Compiler

Compiled 7238 to 4857 computations (32.9% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4983	6148
1	4983	6148

prune285.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	229	5	234

Error

Counts

234 → 5

Compiler

Compiled 5679 to 2731 computations (51.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z))
0.2b	(pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3)
1.0b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3)) a)
21.2b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3))

rewrite744.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

360×	`*-un-lft-identity_binary64_16105`
267×	`add-sqr-sqrt_binary64_16127`
212×	`times-frac_binary64_16111`
162×	`cbrt-prod_binary64_16136`
115×	`distribute-lft-out--_binary64_16057`
110×	`unpow-prod-down_binary64_16184` `cube-prod_binary64_16133`
94×	`add-cube-cbrt_binary64_16140`
81×	`associate-l_binary64_16046`
79×	`difference-of-squares_binary64_16074`
36×	`distribute-lft-out_binary64_16056`
14×	`associate-/r/_binary64_16051`
11×	`add-exp-log_binary64_16143`
10×	`add-cbrt-cube_binary64_16141`
8×	`flip3--_binary64_16109` `flip--_binary64_16080`
7×	`pow1_binary64_16166` `div-inv_binary64_16102` `unswap-sqr_binary64_16073`
6×	`associate-/r*_binary64_16049`
5×	`associate-/l*_binary64_16050`
4×	`add-log-exp_binary64_16144` `sqr-pow_binary64_16077`
3×	`cube-div_binary64_16134` `unpow3_binary64_16171` `cube-mult_binary64_16135` `associate-r_binary64_16045` `pow-unpow_binary64_16182`
2×	`cbrt-div_binary64_16137` `div-exp_binary64_16156` `pow-exp_binary64_16173` `rem-cube-cbrt_binary64_16128` `cbrt-undiv_binary64_16139` `associate-/l/_binary64_16052`
1×	`pow1/3_binary64_16187` `rem-cbrt-cube_binary64_16129` `pow-prod-down_binary64_16176` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `associate-l/_binary64_16048` `-commutative_binary64_16036` `pow-pow_binary64_16177` `pow-to-exp_binary64_16174` `frac-2neg_binary64_16116` `div-sub_binary64_16110` `clear-num_binary64_16104`

Counts

4 → 341

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3)) a)
20.0ms	(pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3)
17.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3))
11.0ms	(/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z))

Compiler

Compiled 10046 to 5855 computations (41.7% saved)

series2.0s (11.3%)

Error

Counts

4 → 88

Calls

4 calls:

653.0ms	(pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3)
535.0ms	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3)) a)
336.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)) 3))
262.0ms	(/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z))

Compiler

Compiled 7661 to 5650 computations (26.2% saved)

simplify123.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

429 → 429

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5001	12097

prune713.0ms (4.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	429	0	429
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	429	5	434

Error

Counts

434 → 5

Compiler

Compiled 11583 to 6187 computations (46.6% saved)

regimes1.1s (6.3%)

Accuracy

Total 0.2b remaining (99.7%)

Threshold costs 0.2b (99.7%)

Compiler

Compiled 11910 to 9253 computations (22.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	164	19
1	164	19

end0.0ms (0%)

sample2.0s (11.6%)

Algorithm

1×

intervals

Results

332.0ms	7999×	body	128	valid
18.0ms	479×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 1713 to 1335 computations (22.1% saved)

Details

analyze2.4s (14%)

sample293.0ms (1.7%)

simplify95.0ms (0.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite539.0ms (3.1%)

series1.7s (10%)

simplify139.0ms (0.8%)

prune518.0ms (3%)

localize10.0ms (0.1%)

rewrite173.0ms (1%)

series1.9s (10.7%)

simplify70.0ms (0.4%)

prune256.0ms (1.5%)

localize11.0ms (0.1%)

rewrite211.0ms (1.2%)

series1.9s (11.1%)

simplify88.0ms (0.5%)

prune285.0ms (1.7%)

localize12.0ms (0.1%)

rewrite744.0ms (4.3%)

series2.0s (11.3%)

simplify123.0ms (0.7%)

prune713.0ms (4.1%)

regimes1.1s (6.3%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.0s (11.6%)

Profiling