Details

analyze1.2s (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4903	176
1	4903	176
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
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify236.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

13.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.8b

(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))

rewrite58.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

13.1b

Rules

9×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `times-frac_binary64_17475` `*-un-lft-identity_binary64_17469`
3×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`flip3--_binary64_17473` `associate-/l/_binary64_17416` `flip--_binary64_17444` `associate-/r/_binary64_17415`
1×	`pow1_binary64_17530` `div-exp_binary64_17520` `add-log-exp_binary64_17508` `cbrt-undiv_binary64_17503` `frac-2neg_binary64_17480` `div-sub_binary64_17474` `clear-num_binary64_17468` `div-inv_binary64_17466`

Counts

1 → 32

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))

Compiler

Compiled 734 to 129 computations (82.4% saved)

series560.0ms (5.2%)

Error

1.9b

Counts

1 → 37

Calls

1 calls:

520.0ms

(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))

Compiler

Compiled 2335 to 1459 computations (37.5% saved)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5058	1874

prune70.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	60	9	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	9	70

Error

1.9b

Counts

70 → 9

Compiler

Compiled 1574 to 356 computations (77.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
3.4b	(/.f64 x (-.f64 t (*.f64 z a)))
13.0b	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))

rewrite118.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

20×	`add-sqr-sqrt_binary64_17491`
17×	`*-un-lft-identity_binary64_17469`
16×	`times-frac_binary64_17475`
15×	`add-cube-cbrt_binary64_17504`
10×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505` `associate-/r/_binary64_17415`
9×	`cancel-sign-sub-inv_binary64_17435`
6×	`flip3--_binary64_17473` `flip--_binary64_17444` `associate-/r*_binary64_17413`
5×	`add-log-exp_binary64_17508` `div-inv_binary64_17466`
4×	`associate-/l*_binary64_17414`
3×	`pow1_binary64_17530` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `distribute-rgt-out--_binary64_17423`
2×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `difference-of-squares_binary64_17438`
1×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `diff-log_binary64_17561` `frac-sub_binary64_17478` `sub-div_binary64_17476` `sub-neg_binary64_17462` `distribute-lft-out--_binary64_17421`

Counts

3 → 80

Calls

3 calls:

18.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
9.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
4.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2232 to 336 computations (84.9% saved)

series1.1s (10.5%)

Error

0.7b

Counts

3 → 79

Calls

3 calls:

632.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
236.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
171.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))

Compiler

Compiled 4919 to 2988 computations (39.3% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5008	3567

prune149.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	162	6	168

Error

0.0b

Counts

168 → 6

Compiler

Compiled 3711 to 571 computations (84.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
3.2b	(/.f64 y (-.f64 t (*.f64 z a)))
3.4b	(/.f64 x (-.f64 t (*.f64 z a)))
7.0b	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))

rewrite156.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64_17491`
28×	`add-cube-cbrt_binary64_17504` `*-un-lft-identity_binary64_17469` `times-frac_binary64_17475`
15×	`associate-r_binary64_17409`
13×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
6×	`pow1_binary64_17530` `add-log-exp_binary64_17508` `associate-/r/_binary64_17415` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
4×	`flip3--_binary64_17473` `flip--_binary64_17444`
3×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `associate-r/_binary64_17411` `associate-l*_binary64_17410` `div-inv_binary64_17466`
2×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `unswap-sqr_binary64_17437` `frac-2neg_binary64_17480` `clear-num_binary64_17468`
1×	`pow-prod-down_binary64_17540` `*-commutative_binary64_17400` `diff-log_binary64_17561` `frac-sub_binary64_17478` `sub-div_binary64_17476` `sub-neg_binary64_17462` `cancel-sign-sub-inv_binary64_17435`

Counts

4 → 106

Calls

4 calls:

9.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))
9.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
8.0ms	(/.f64 y (-.f64 t (*.f64 z a)))
5.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2882 to 453 computations (84.3% saved)

series1.4s (12.7%)

Error

0.0b

Counts

4 → 99

Calls

4 calls:

616.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
241.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
214.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))
192.0ms	(/.f64 y (-.f64 t (*.f64 z a)))

Compiler

Compiled 6170 to 3726 computations (39.6% saved)

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4968	4154
1	4968	4154

prune175.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	205	6	211

Error

0.0b

Counts

211 → 6

Compiler

Compiled 4772 to 710 computations (85.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
3.2b	(/.f64 (-.f64 t (*.f64 z a)) y)
3.4b	(/.f64 x (-.f64 t (*.f64 z a)))
7.3b	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))

rewrite287.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

170×	`times-frac_binary64_17475`
118×	`add-sqr-sqrt_binary64_17491`
103×	`*-un-lft-identity_binary64_17469`
97×	`add-cube-cbrt_binary64_17504`
44×	`cancel-sign-sub-inv_binary64_17435`
19×	`associate-/r*_binary64_17413`
13×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
11×	`div-inv_binary64_17466`
9×	`associate-/l*_binary64_17414`
6×	`add-log-exp_binary64_17508` `difference-of-squares_binary64_17438`
5×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503`
4×	`pow1_binary64_17530` `associate-/r/_binary64_17415`
3×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `flip3--_binary64_17473` `flip--_binary64_17444`
2×	`associate-/l/_binary64_17416` `distribute-lft-out--_binary64_17421`
1×	`div-sub_binary64_17474` `diff-log_binary64_17561` `frac-sub_binary64_17478` `sub-neg_binary64_17462`

Counts

4 → 193

Calls

4 calls:

50.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
9.0ms	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))
8.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
6.0ms	(/.f64 (-.f64 t (*.f64 z a)) y)

Compiler

Compiled 5769 to 887 computations (84.6% saved)

series1.4s (13.3%)

Error

0.0b

Counts

4 → 100

Calls

4 calls:

672.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
254.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
232.0ms	(/.f64 (-.f64 t (*.f64 z a)) y)
180.0ms	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))

Compiler

Compiled 5865 to 3473 computations (40.8% saved)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5086	7020

prune260.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	293	6	299

Error

0.0b

Counts

299 → 6

Compiler

Compiled 7193 to 783 computations (89.1% saved)

regimes1.1s (10.4%)

Accuracy

Total 5.2b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 7562 to 4734 computations (37.4% saved)

bsearch5.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	103	95
1	103	95

end0.0ms (0%)

sample1.9s (17.9%)

Algorithm

1×

intervals

Results

358.0ms	8000×	body	128	valid
30.0ms	746×	body	128	invalid

Compiler

Compiled 1360 to 828 computations (39.1% saved)

Details

analyze1.2s (11.6%)

sample33.0ms (0.3%)

simplify236.0ms (2.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite58.0ms (0.5%)

series560.0ms (5.2%)

simplify41.0ms (0.4%)

prune70.0ms (0.7%)

localize13.0ms (0.1%)

rewrite118.0ms (1.1%)

series1.1s (10.5%)

simplify90.0ms (0.8%)

prune149.0ms (1.4%)

localize9.0ms (0.1%)

rewrite156.0ms (1.5%)

series1.4s (12.7%)

simplify125.0ms (1.2%)

prune175.0ms (1.6%)

localize12.0ms (0.1%)

rewrite287.0ms (2.7%)

series1.4s (13.3%)

simplify131.0ms (1.2%)

prune260.0ms (2.4%)

regimes1.1s (10.4%)

bsearch5.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.9s (17.9%)

Profiling