Details

analyze2.5s (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample58.0ms (0.1%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
8.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify169.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

prune5.0ms (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

15.5b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
2.9b	(/.f64 (*.f64 y b) t)
4.2b	(/.f64 (*.f64 y z) t)
11.6b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite340.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

11.4b

Rules

61×	`*-un-lft-identity_binary64_16105`
26×	`times-frac_binary64_16111`
24×	`distribute-lft-out_binary64_16056`
19×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
16×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
11×	`associate-/r*_binary64_16049`
9×	`add-log-exp_binary64_16144`
6×	`associate-/l*_binary64_16050`
5×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `flip3-+_binary64_16108` `flip-+_binary64_16079`
4×	`pow1_binary64_16166` `frac-add_binary64_16113` `associate-/r/_binary64_16051`
3×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `div-inv_binary64_16102` `sum-log_binary64_16196`
2×	`associate-/l/_binary64_16052` `prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`
1×	`associate-+l+_binary64_16038` `+-commutative_binary64_16035`

Counts

4 → 106

Calls

4 calls:

33.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
14.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
8.0ms	(/.f64 (*.f64 y b) t)
8.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 2888 to 960 computations (66.8% saved)

series2.5s (6.3%)

Error

3.0b

Counts

4 → 86

Calls

4 calls:

1.6s	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
313.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
182.0ms	(/.f64 (*.f64 y b) t)
180.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 7154 to 4665 computations (34.8% saved)

simplify151.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4984	5673
1	4984	5673

prune396.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	180	12	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	181	12	193

Error

1.5b

Counts

193 → 12

Compiler

Compiled 5529 to 1854 computations (66.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 (*.f64 y b) t)
2.9b	(/.f64 (*.f64 y b) t)
4.8b	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
12.2b	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite272.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

28×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
15×	`*-un-lft-identity_binary64_16105`
12×	`add-sqr-sqrt_binary64_16127`
10×	`add-cube-cbrt_binary64_16140`
8×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
7×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138` `times-frac_binary64_16111` `associate-/r*_binary64_16049`
6×	`pow1_binary64_16166`
5×	`associate-r_binary64_16045`
4×	`add-log-exp_binary64_16144` `associate-*r/_binary64_16047`
3×	`frac-2neg_binary64_16116` `clear-num_binary64_16104` `div-inv_binary64_16102` `associate-/l_binary64_16050` `associate-l*_binary64_16046` `distribute-lft-out_binary64_16056`
2×	`flip3-+_binary64_16108` `associate-/r/_binary64_16051` `flip-+_binary64_16079`
1×	`pow-prod-down_binary64_16176` `unswap-sqr_binary64_16073` `distribute-rgt-in_binary64_16055` `distribute-lft-in_binary64_16054` `*-commutative_binary64_16036`

Counts

4 → 89

Calls

4 calls:

25.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
22.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
9.0ms	(/.f64 (*.f64 y b) t)
9.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 3155 to 1224 computations (61.2% saved)

series1.6s (4.2%)

Error

1.5b

Counts

4 → 69

Calls

4 calls:

732.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
443.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
192.0ms	(/.f64 (*.f64 y b) t)
176.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 5381 to 3282 computations (39% saved)

simplify120.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4991	2305
1	4991	2305

prune292.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	159	11	170

Error

0.5b

Counts

170 → 11

Compiler

Compiled 4855 to 1843 computations (62% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 (*.f64 y b) t)
4.3b	(/.f64 z (/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))))
5.0b	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
8.4b	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite1.7s (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

777×	`times-frac_binary64_16111`
599×	`*-un-lft-identity_binary64_16105`
339×	`add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
156×	`distribute-lft-out_binary64_16056`
97×	`associate-/r*_binary64_16049`
40×	`associate-/r/_binary64_16051`
25×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
24×	`div-inv_binary64_16102`
17×	`flip3-+_binary64_16108` `flip-+_binary64_16079`
12×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
10×	`associate-/l*_binary64_16050`
4×	`pow1_binary64_16166` `add-log-exp_binary64_16144` `frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`prod-exp_binary64_16154` `cbrt-unprod_binary64_16138`

Counts

4 → 452

Calls

4 calls:

44.0ms	(/.f64 z (/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))))
27.0ms	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
18.0ms	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
14.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 20154 to 8374 computations (58.4% saved)

series2.3s (5.8%)

Error

0.5b

Counts

4 → 82

Calls

4 calls:

874.0ms	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
693.0ms	(/.f64 z (/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))))
381.0ms	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
193.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 6630 to 4258 computations (35.8% saved)

simplify389.0ms (1%)

Algorithm

1×	egg-herbie

Counts

534 → 534

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5005	18130

prune1.4s (3.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	532	2	534
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	533	12	545

Error

0.5b

Counts

545 → 12

Compiler

Compiled 21263 to 8087 computations (62% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(/.f64 z (/.f64 (cbrt.f64 t) (/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y)))))))
4.4b	(/.f64 b (/.f64 t y))
4.6b	(.f64 (/.f64 1 (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (/.f64 (cbrt.f64 t) (/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y))))))))
5.0b	(/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y)))))

rewrite6.6s (16.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

2436×	`times-frac_binary64_16111`
1657×	`*-un-lft-identity_binary64_16105`
1064×	`add-sqr-sqrt_binary64_16127`
1001×	`add-cube-cbrt_binary64_16140`
447×	`cbrt-prod_binary64_16136`
398×	`associate-r_binary64_16045`
390×	`distribute-lft-out_binary64_16056`
149×	`associate-/r*_binary64_16049`
138×	`add-exp-log_binary64_16143`
96×	`associate-/r/_binary64_16051`
68×	`div-exp_binary64_16156`
58×	`add-cbrt-cube_binary64_16141` `div-inv_binary64_16102`
43×	`flip3-+_binary64_16108` `flip-+_binary64_16079`
40×	`prod-exp_binary64_16154`
36×	`cbrt-undiv_binary64_16139`
18×	`unswap-sqr_binary64_16073`
16×	`cbrt-unprod_binary64_16138`
9×	`associate-/l*_binary64_16050`
8×	`1-exp_binary64_16149` `rec-exp_binary64_16155`
7×	`associate-l_binary64_16046`
6×	`pow1_binary64_16166`
4×	`add-log-exp_binary64_16144`
3×	`frac-2neg_binary64_16116` `clear-num_binary64_16104`
1×	`pow-prod-down_binary64_16176` `frac-times_binary64_16115` `associate-l/_binary64_16048` `associate-r/_binary64_16047` `*-commutative_binary64_16036`

Counts

4 → 1126

Calls

4 calls:

315.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (/.f64 (cbrt.f64 t) (/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y))))))))
96.0ms	(/.f64 z (/.f64 (cbrt.f64 t) (/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y)))))))
37.0ms	(/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y)))))
13.0ms	(/.f64 b (/.f64 t y))

Compiler

Compiled 63767 to 25173 computations (60.5% saved)

series2.2s (5.5%)

Error

0.5b

Counts

4 → 74

Calls

4 calls:

713.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (/.f64 (cbrt.f64 t) (/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y))))))))
709.0ms	(/.f64 z (/.f64 (cbrt.f64 t) (/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y)))))))
407.0ms	(/.f64 y (+.f64 a (+.f64 1 (/.f64 b (/.f64 t y)))))
184.0ms	(/.f64 b (/.f64 t y))

Compiler

Compiled 8043 to 5194 computations (35.4% saved)

simplify821.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1200 → 1200

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4973	46544
1	4973	46544

prune4.9s (12.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1200	0	1200
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	1200	12	1212

Error

0.5b

Counts

1212 → 12

Compiler

Compiled 61891 to 22338 computations (63.9% saved)

regimes5.0s (12.6%)

Accuracy

Total 3.8b remaining (84%)

Threshold costs 0b (0%)

Compiler

Compiled 25705 to 18224 computations (29.1% saved)

bsearch114.0ms (0.3%)

Steps

Iters	Range		Point
9	2.741381741991994e+29	3.02719891126948e+35	2.3404855533204465e+32
8	-3.8421098772073545e+82	-7.331686751493656e+79	-2.4972769510363455e+80

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	129
1	60	129

end0.0ms (0%)

sample5.3s (13.5%)

Algorithm

1×

intervals

Results

817.0ms	8000×	body	128	valid
27.0ms	287×	body	128	invalid

Compiler

Compiled 3160 to 2223 computations (29.7% saved)

Details

analyze2.5s (6.4%)

sample58.0ms (0.1%)

simplify169.0ms (0.4%)

prune5.0ms (0%)

localize26.0ms (0.1%)

rewrite340.0ms (0.9%)

series2.5s (6.3%)

simplify151.0ms (0.4%)

prune396.0ms (1%)

localize29.0ms (0.1%)

rewrite272.0ms (0.7%)

series1.6s (4.2%)

simplify120.0ms (0.3%)

prune292.0ms (0.7%)

localize28.0ms (0.1%)

rewrite1.7s (4.4%)

series2.3s (5.8%)

simplify389.0ms (1%)

prune1.4s (3.7%)

localize53.0ms (0.1%)

rewrite6.6s (16.8%)

series2.2s (5.5%)

simplify821.0ms (2.1%)

prune4.9s (12.4%)

regimes5.0s (12.6%)

bsearch114.0ms (0.3%)

simplify6.0ms (0%)

end0.0ms (0%)

sample5.3s (13.5%)

Profiling