Details

analyze1.2s (13.2%)

Algorithm

1×	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%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4869	19
1	4869	19

prune2.0ms (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

2.2b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
10.6b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite272.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

236×	`*-un-lft-identity_binary64_16446`
200×	`times-frac_binary64_16452`
126×	`add-sqr-sqrt_binary64_16468`
86×	`add-cube-cbrt_binary64_16481`
44×	`distribute-lft-out_binary64_16397`
42×	`distribute-lft-out--_binary64_16398`
22×	`associate-/r*_binary64_16390`
20×	`difference-of-squares_binary64_16415`
10×	`associate-/l*_binary64_16391`
9×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
8×	`div-inv_binary64_16443`
4×	`div-exp_binary64_16497` `cbrt-undiv_binary64_16480` `associate-/l/_binary64_16393`
2×	`pow1_binary64_16507` `add-log-exp_binary64_16485` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445`
1×	`flip3--_binary64_16450` `flip--_binary64_16421` `associate-/r/_binary64_16392` `associate-+l-_binary64_16381` `flip3-+_binary64_16449` `flip-+_binary64_16420`

Counts

2 → 175

Calls

2 calls:

15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 4444 to 1901 computations (57.2% saved)

series597.0ms (6.6%)

Error

0.0b

Counts

2 → 45

Calls

2 calls:

393.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
128.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

Compiler

Compiled 3724 to 2349 computations (36.9% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5152	7048

prune247.0ms (2.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	215	5	220
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	5	221

Error

Counts

221 → 5

Compiler

Compiled 5834 to 2495 computations (57.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z))
0.6b	(*.f64 a (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)))

rewrite160.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

109×	`*-un-lft-identity_binary64_16446`
81×	`add-sqr-sqrt_binary64_16468`
61×	`times-frac_binary64_16452`
36×	`associate-r_binary64_16386`
35×	`distribute-lft-out--_binary64_16398`
28×	`add-cube-cbrt_binary64_16481`
24×	`difference-of-squares_binary64_16415`
11×	`distribute-lft-out_binary64_16397`
9×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
6×	`associate-/r*_binary64_16390`
5×	`associate-/l*_binary64_16391`
4×	`pow1_binary64_16507` `associate-/r/_binary64_16392`
3×	`associate-l_binary64_16387` `flip3--_binary64_16450` `flip--_binary64_16421`
2×	`div-exp_binary64_16497` `prod-exp_binary64_16495` `add-log-exp_binary64_16485` `cbrt-unprod_binary64_16479` `cbrt-undiv_binary64_16480` `unswap-sqr_binary64_16414` `div-inv_binary64_16443` `associate-/l/_binary64_16393`
1×	`pow-prod-down_binary64_16517` `associate-r/_binary64_16388` `-commutative_binary64_16377` `frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445`

Counts

2 → 113

Calls

2 calls:

22.0ms	(*.f64 a (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)))
11.0ms	(/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z))

Compiler

Compiled 2686 to 1342 computations (50% saved)

series713.0ms (7.9%)

Error

Counts

2 → 57

Calls

2 calls:

365.0ms	(*.f64 a (/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z)))
243.0ms	(/.f64 (-.f64 y z) (-.f64 (+.f64 t 1) z))

Compiler

Compiled 5705 to 3764 computations (34% saved)

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5124	6037

prune202.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	170	5	175

Error

Counts

175 → 5

Compiler

Compiled 5253 to 2360 computations (55.1% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 (+.f64 t 1) z))
0.1b	(*.f64 a (/.f64 1 (-.f64 (+.f64 t 1) z)))
10.1b	(.f64 (-.f64 y z) (.f64 a (/.f64 1 (-.f64 (+.f64 t 1) z))))

rewrite185.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

64×	`*-un-lft-identity_binary64_16446`
49×	`add-sqr-sqrt_binary64_16468`
38×	`times-frac_binary64_16452`
31×	`add-exp-log_binary64_16484`
26×	`add-cube-cbrt_binary64_16481`
25×	`associate-r_binary64_16386`
19×	`add-cbrt-cube_binary64_16482`
15×	`distribute-lft-out--_binary64_16398`
13×	`prod-exp_binary64_16495`
11×	`pow1_binary64_16507`
8×	`associate-l_binary64_16387` `difference-of-squares_binary64_16415`
7×	`cbrt-unprod_binary64_16479` `distribute-lft-out_binary64_16397`
6×	`div-exp_binary64_16497` `associate-r/_binary64_16388` `associate-/r_binary64_16390`
5×	`flip3--_binary64_16450` `flip--_binary64_16421`
4×	`pow-prod-down_binary64_16517` `un-div-inv_binary64_16444` `frac-times_binary64_16456` `associate-/r/_binary64_16392`
3×	`1-exp_binary64_16490` `rec-exp_binary64_16496` `add-log-exp_binary64_16485` `cbrt-undiv_binary64_16480` `unswap-sqr_binary64_16414` `associate-/l*_binary64_16391`
2×	`associate-l/_binary64_16389` `-commutative_binary64_16377` `div-inv_binary64_16443`
1×	`inv-pow_binary64_16531` `pow-flip_binary64_16520` `frac-2neg_binary64_16457` `clear-num_binary64_16445`

Counts

3 → 124

Calls

3 calls:

16.0ms	(.f64 (-.f64 y z) (.f64 a (/.f64 1 (-.f64 (+.f64 t 1) z))))
14.0ms	(*.f64 a (/.f64 1 (-.f64 (+.f64 t 1) z)))
8.0ms	(/.f64 1 (-.f64 (+.f64 t 1) z))

Compiler

Compiled 2951 to 1780 computations (39.7% saved)

series819.0ms (9.1%)

Error

Counts

3 → 77

Calls

3 calls:

407.0ms	(.f64 (-.f64 y z) (.f64 a (/.f64 1 (-.f64 (+.f64 t 1) z))))
174.0ms	(*.f64 a (/.f64 1 (-.f64 (+.f64 t 1) z)))
114.0ms	(/.f64 1 (-.f64 (+.f64 t 1) z))

Compiler

Compiled 6540 to 4362 computations (33.3% saved)

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4981	5978
1	4981	5978

prune243.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	201	5	206

Error

Counts

206 → 5

Compiler

Compiled 5718 to 2821 computations (50.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a))
10.6b	(/.f64 (-.f64 y z) (*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a)))

rewrite114.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-exp-log_binary64_16484`
23×	`add-sqr-sqrt_binary64_16468`
22×	`*-un-lft-identity_binary64_16446`
16×	`add-cbrt-cube_binary64_16482` `times-frac_binary64_16452`
13×	`associate-r_binary64_16386`
12×	`add-cube-cbrt_binary64_16481`
9×	`div-exp_binary64_16497`
8×	`prod-exp_binary64_16495`
6×	`associate-/r/_binary64_16392`
5×	`cbrt-undiv_binary64_16480` `associate-/l_binary64_16391` `associate-l*_binary64_16387`
4×	`pow1_binary64_16507` `cbrt-unprod_binary64_16479` `flip3-+_binary64_16449` `frac-times_binary64_16456` `flip-+_binary64_16420` `associate-*l/_binary64_16389`
3×	`distribute-lft-out--_binary64_16398` `unswap-sqr_binary64_16414`
2×	`1-exp_binary64_16490` `rec-exp_binary64_16496` `add-log-exp_binary64_16485` `difference-of-squares_binary64_16415` `div-inv_binary64_16443` `associate-/l/_binary64_16393` `un-div-inv_binary64_16444` `associate-*r/_binary64_16388` `distribute-lft-out_binary64_16397`
1×	`frac-2neg_binary64_16457` `div-sub_binary64_16451` `clear-num_binary64_16445` `flip3--_binary64_16450` `flip--_binary64_16421` `associate-/r_binary64_16390` `pow-prod-down_binary64_16517` `-commutative_binary64_16377`

Counts

2 → 80

Calls

2 calls:

15.0ms	(/.f64 (-.f64 y z) (*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a)))
13.0ms	(*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a))

Compiler

Compiled 1912 to 981 computations (48.7% saved)

series585.0ms (6.5%)

Error

Counts

2 → 45

Calls

2 calls:

392.0ms	(/.f64 (-.f64 y z) (*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a)))
132.0ms	(*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a))

Compiler

Compiled 3724 to 2349 computations (36.9% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5219	3569

prune124.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	125	5	130

Error

Counts

130 → 5

Compiler

Compiled 3210 to 1384 computations (56.9% saved)

regimes974.0ms (10.8%)

Accuracy

Total 0.2b remaining (99.7%)

Threshold costs 0.2b (99.7%)

Compiler

Compiled 12616 to 9570 computations (24.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	164	19
1	164	19

end0.0ms (0%)

sample2.1s (23%)

Algorithm

1×

intervals

Results

331.0ms	7999×	body	128	valid
17.0ms	462×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 1814 to 1381 computations (23.9% saved)

Details

analyze1.2s (13.2%)

sample23.0ms (0.3%)

simplify97.0ms (1.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite272.0ms (3%)

series597.0ms (6.6%)

simplify96.0ms (1.1%)

prune247.0ms (2.7%)

localize9.0ms (0.1%)

rewrite160.0ms (1.8%)

series713.0ms (7.9%)

simplify69.0ms (0.8%)

prune202.0ms (2.2%)

localize10.0ms (0.1%)

rewrite185.0ms (2%)

series819.0ms (9.1%)

simplify115.0ms (1.3%)

prune243.0ms (2.7%)

localize10.0ms (0.1%)

rewrite114.0ms (1.3%)

series585.0ms (6.5%)

simplify82.0ms (0.9%)

prune124.0ms (1.4%)

regimes974.0ms (10.8%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.1s (23%)

Profiling