Details

analyze1.1s (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	112
1	4937	112
0	4	4
1	4	4

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	90×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify393.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (387.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

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

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
0.4b	(/.f64 -1/3 z)
2.7b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite180.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`add-sqr-sqrt_binary64_19537`
56×	`times-frac_binary64_19521`
52×	`cancel-sign-sub-inv_binary64_19481`
49×	`*-un-lft-identity_binary64_19515`
47×	`add-cube-cbrt_binary64_19550`
28×	`distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `associate-+r+_binary64_19447`
13×	`associate-l_binary64_19456`
10×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
6×	`div-inv_binary64_19512` `associate-r_binary64_19455`
5×	`pow1_binary64_19576` `add-log-exp_binary64_19554`
4×	`sub-neg_binary64_19508`
3×	`associate-/l_binary64_19460` `associate-/r_binary64_19459`
2×	`div-exp_binary64_19566` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `cbrt-undiv_binary64_19549` `flip3--_binary64_19519` `frac-times_binary64_19525` `flip--_binary64_19490` `unswap-sqr_binary64_19483` `associate-*r/_binary64_19457` `difference-of-squares_binary64_19484`
1×	`pow-prod-down_binary64_19586` `associate-l/_binary64_19458` `distribute-lft-out--_binary64_19467` `-commutative_binary64_19446` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `sum-log_binary64_19606` `flip3-+_binary64_19518` `flip-+_binary64_19489` `+-commutative_binary64_19445`

Counts

3 → 133

Calls

3 calls:

15.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
7.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
3.0ms	(/.f64 -1/3 z)

Compiler

Compiled 2797 to 1262 computations (54.9% saved)

series631.0ms (7.3%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

362.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
198.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
16.0ms	(/.f64 -1/3 z)

Compiler

Compiled 1300 to 961 computations (26.1% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	2518
1	4965	2518

prune158.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	171	7	178
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Error

Counts

180 → 8

Compiler

Compiled 3026 to 1299 computations (57.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
2.6b	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

rewrite118.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64_19537`
26×	`cancel-sign-sub-inv_binary64_19481`
25×	`*-un-lft-identity_binary64_19515`
22×	`times-frac_binary64_19521`
21×	`add-cube-cbrt_binary64_19550`
14×	`distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464`
10×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
6×	`associate-r_binary64_19455`
5×	`pow1_binary64_19576` `add-log-exp_binary64_19554`
4×	`associate-*r/_binary64_19457`
3×	`div-inv_binary64_19512` `associate-/r_binary64_19459` `associate-l*_binary64_19456`
2×	`prod-exp_binary64_19564` `div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `cbrt-unprod_binary64_19548` `flip3--_binary64_19519` `associate-/l/_binary64_19462` `flip--_binary64_19490` `sub-neg_binary64_19508` `difference-of-squares_binary64_19484`
1×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `associate-/l_binary64_19460` `pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `distribute-lft-out--_binary64_19467` `-commutative_binary64_19446` `sum-log_binary64_19606` `flip3-+_binary64_19518` `flip-+_binary64_19489` `distribute-lft-out_binary64_19466` `+-commutative_binary64_19445`

Counts

3 → 86

Calls

3 calls:

15.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
12.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
5.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))

Compiler

Compiled 1734 to 759 computations (56.2% saved)

series708.0ms (8.2%)

Error

Counts

3 → 54

Calls

3 calls:

370.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
207.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
101.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))

Compiler

Compiled 1531 to 1150 computations (24.9% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4972	1900
1	4972	1900

prune109.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Error

Counts

148 → 8

Compiler

Compiled 2020 to 870 computations (56.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y))))
0.3b	(/.f64 1 (/.f64 z -1/3))
0.3b	(/.f64 z -1/3)
2.7b	(*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)))

rewrite373.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

193×	`times-frac_binary64_19521`
137×	`add-sqr-sqrt_binary64_19537`
122×	`*-un-lft-identity_binary64_19515`
118×	`add-cube-cbrt_binary64_19550`
52×	`cancel-sign-sub-inv_binary64_19481`
44×	`associate-l_binary64_19456`
36×	`add-exp-log_binary64_19553`
28×	`distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `associate-+r+_binary64_19447`
20×	`add-cbrt-cube_binary64_19551`
16×	`associate-/r*_binary64_19459`
15×	`div-exp_binary64_19566`
14×	`div-inv_binary64_19512`
7×	`pow1_binary64_19576` `prod-exp_binary64_19564` `cbrt-undiv_binary64_19549`
6×	`add-log-exp_binary64_19554` `associate-r_binary64_19455` `associate-/l*_binary64_19460`
5×	`unswap-sqr_binary64_19483`
4×	`1-exp_binary64_19559` `rec-exp_binary64_19565` `sub-neg_binary64_19508`
3×	`cbrt-unprod_binary64_19548`
2×	`flip3--_binary64_19519` `frac-times_binary64_19525` `flip--_binary64_19490` `associate-*r/_binary64_19457` `associate-/r/_binary64_19461` `difference-of-squares_binary64_19484` `frac-2neg_binary64_19526` `clear-num_binary64_19514`
1×	`pow-prod-down_binary64_19586` `associate-l/_binary64_19458` `distribute-lft-out--_binary64_19467` `-commutative_binary64_19446` `inv-pow_binary64_19600` `pow-flip_binary64_19589` `sum-log_binary64_19606` `flip3-+_binary64_19518` `flip-+_binary64_19489` `+-commutative_binary64_19445`

Counts

4 → 249

Calls

4 calls:

24.0ms	(*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)))
8.0ms	(+.f64 x (*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y))))
6.0ms	(/.f64 1 (/.f64 z -1/3))
3.0ms	(/.f64 z -1/3)

Compiler

Compiled 5885 to 3294 computations (44% saved)

series630.0ms (7.3%)

Error

Counts

4 → 48

Calls

4 calls:

360.0ms	(+.f64 x (*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y))))
212.0ms	(*.f64 (/.f64 1 (/.f64 z -1/3)) (-.f64 y (/.f64 t y)))
16.0ms	(/.f64 1 (/.f64 z -1/3))
16.0ms	(/.f64 z -1/3)

Compiler

Compiled 1417 to 1051 computations (25.8% saved)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5138	4243

prune279.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	297	8	305

Error

Counts

305 → 8

Compiler

Compiled 5475 to 2714 computations (50.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.2b	(.f64 (.f64 z 3) y)
0.2b	(/.f64 y (*.f64 z 3))
9.3b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite124.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
16×	`*-un-lft-identity_binary64_19515`
11×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537`
9×	`pow1_binary64_19576` `add-log-exp_binary64_19554` `times-frac_binary64_19521`
8×	`associate-+l+_binary64_19448`
7×	`prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `cancel-sign-sub-inv_binary64_19481`
6×	`associate-/l*_binary64_19460`
5×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549`
3×	`div-inv_binary64_19512` `pow-prod-down_binary64_19586` `associate-r_binary64_19455`
2×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `associate-/r*_binary64_19459` `sum-log_binary64_19606` `frac-add_binary64_19523` `distribute-lft-out_binary64_19466`
1×	`associate-l_binary64_19456` `*-commutative_binary64_19446` `diff-log_binary64_19607` `flip3--_binary64_19519` `flip--_binary64_19490` `flip3-+_binary64_19518` `flip-+_binary64_19489` `distribute-lft-out--_binary64_19467` `associate-+l-_binary64_19450` `sub-neg_binary64_19508` `+-commutative_binary64_19445`

Counts

4 → 87

Calls

4 calls:

15.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
6.0ms	(/.f64 t (.f64 (.f64 z 3) y))
5.0ms	(.f64 (.f64 z 3) y)
4.0ms	(/.f64 y (*.f64 z 3))

Compiler

Compiled 1982 to 1218 computations (38.5% saved)

series657.0ms (7.6%)

Error

Counts

4 → 48

Calls

4 calls:

385.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
129.0ms	(/.f64 t (.f64 (.f64 z 3) y))
60.0ms	(/.f64 y (*.f64 z 3))
57.0ms	(.f64 (.f64 z 3) y)

Compiler

Compiled 1663 to 1240 computations (25.4% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	1888
1	4969	1888

prune110.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	135	8	143

Error

Counts

143 → 8

Compiler

Compiled 2270 to 1205 computations (46.9% saved)

regimes808.0ms (9.3%)

Accuracy

Total 1.2b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 6066 to 5037 computations (17% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	71	111
1	71	111

end0.0ms (0%)

sample1.8s (21.3%)

Algorithm

1×

intervals

Results

349.0ms	8000×	body	128	valid
137.0ms	3097×	body	128	invalid

Compiler

Compiled 1106 to 903 computations (18.4% saved)

Details

analyze1.1s (13.1%)

sample29.0ms (0.3%)

simplify393.0ms (4.5%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite180.0ms (2.1%)

series631.0ms (7.3%)

simplify81.0ms (0.9%)

prune158.0ms (1.8%)

localize8.0ms (0.1%)

rewrite118.0ms (1.4%)

series708.0ms (8.2%)

simplify74.0ms (0.8%)

prune109.0ms (1.3%)

localize9.0ms (0.1%)

rewrite373.0ms (4.3%)

series630.0ms (7.3%)

simplify105.0ms (1.2%)

prune279.0ms (3.2%)

localize9.0ms (0.1%)

rewrite124.0ms (1.4%)

series657.0ms (7.6%)

simplify70.0ms (0.8%)

prune110.0ms (1.3%)

regimes808.0ms (9.3%)

bsearch3.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (21.3%)

Profiling