Details

analyze850.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (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

6.8b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
10.0b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite174.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

45×	`*-un-lft-identity_binary64_20879`
25×	`times-frac_binary64_20885`
23×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901`
11×	`distribute-lft-out_binary64_20830`
8×	`add-exp-log_binary64_20917` `add-log-exp_binary64_20918` `add-cbrt-cube_binary64_20915`
7×	`associate-/l_binary64_20824` `associate-/r_binary64_20823`
4×	`pow1_binary64_20940` `div-sub_binary64_20884` `associate-/l/_binary64_20826` `associate-/r/_binary64_20825`
3×	`flip3--_binary64_20883` `flip--_binary64_20854` `flip3-+_binary64_20882` `flip-+_binary64_20853` `cancel-sign-sub-inv_binary64_20845`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-+r-_binary64_20813`
1×	`sum-log_binary64_20970` `+-commutative_binary64_20809` `diff-log_binary64_20971` `sub-neg_binary64_20872`

Counts

4 → 100

Calls

4 calls:

16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 2967 to 756 computations (74.5% saved)

series1.2s (10.2%)

Error

0.8b

Counts

4 → 105

Calls

4 calls:

470.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
299.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
275.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
80.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 6626 to 4266 computations (35.6% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5313	5623

prune200.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	195	10	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	196	10	206

Error

0.7b

Counts

206 → 10

Compiler

Compiled 5396 to 1570 computations (70.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x))))
0.0b	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
0.1b	(/.f64 1 (-.f64 (*.f64 t z) x))
9.9b	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))

rewrite185.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

38×	`*-un-lft-identity_binary64_20879`
36×	`add-sqr-sqrt_binary64_20901`
32×	`times-frac_binary64_20885`
29×	`add-cube-cbrt_binary64_20914`
19×	`add-exp-log_binary64_20917`
15×	`associate-r_binary64_20819`
13×	`add-cbrt-cube_binary64_20915`
7×	`pow1_binary64_20940` `associate-/r*_binary64_20823`
6×	`add-log-exp_binary64_20918` `associate-/r/_binary64_20825` `associate-/l*_binary64_20824`
5×	`div-exp_binary64_20930`
4×	`prod-exp_binary64_20928` `flip3--_binary64_20883` `flip--_binary64_20854` `distribute-lft-out_binary64_20830`
3×	`cbrt-undiv_binary64_20913` `unswap-sqr_binary64_20847` `associate-l_binary64_20820` `div-inv_binary64_20876` `flip3-+_binary64_20882` `flip-+_binary64_20853`
2×	`1-exp_binary64_20923` `rec-exp_binary64_20929` `cbrt-unprod_binary64_20912` `frac-times_binary64_20889` `associate-*l/_binary64_20822` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `associate-/l/_binary64_20826`
1×	`pow-prod-down_binary64_20950` `un-div-inv_binary64_20877` `associate-r/_binary64_20821` `-commutative_binary64_20810` `inv-pow_binary64_20964` `pow-flip_binary64_20953` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 121

Calls

4 calls:

16.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))
7.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 (*.f64 t z) x))
4.0ms	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x))))

Compiler

Compiled 3865 to 1534 computations (60.3% saved)

series1.3s (10.4%)

Error

0.7b

Counts

4 → 105

Calls

4 calls:

484.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
300.0ms	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x))))
274.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))
94.0ms	(/.f64 1 (-.f64 (*.f64 t z) x))

Compiler

Compiled 6988 to 4596 computations (34.2% saved)

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5278	5957

prune212.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	226	10	236

Error

0.7b

Counts

236 → 10

Compiler

Compiled 6079 to 1959 computations (67.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
0.0b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
0.3b	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
9.9b	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

rewrite282.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

110×	`times-frac_binary64_20885`
97×	`*-un-lft-identity_binary64_20879`
67×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901`
22×	`associate-/r*_binary64_20823`
19×	`add-exp-log_binary64_20917`
18×	`distribute-lft-out_binary64_20830`
13×	`add-cbrt-cube_binary64_20915` `div-inv_binary64_20876` `associate-/r/_binary64_20825`
11×	`associate-/l*_binary64_20824`
9×	`div-exp_binary64_20930`
6×	`add-log-exp_binary64_20918` `flip3--_binary64_20883` `flip--_binary64_20854`
5×	`pow1_binary64_20940` `cbrt-undiv_binary64_20913`
4×	`associate-/l/_binary64_20826`
3×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `flip3-+_binary64_20882` `flip-+_binary64_20853`
2×	`1-exp_binary64_20923` `rec-exp_binary64_20929`
1×	`div-sub_binary64_20884` `inv-pow_binary64_20964` `pow-flip_binary64_20953` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 174

Calls

4 calls:

24.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
20.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
11.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
9.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 5854 to 1970 computations (66.3% saved)

series1.4s (11.3%)

Error

0.7b

Counts

4 → 111

Calls

4 calls:

470.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
300.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
256.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
239.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 7439 to 4876 computations (34.5% saved)

simplify130.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4968	8554
1	4968	8554

prune273.0ms (2.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	285	10	295

Error

0.7b

Counts

295 → 10

Compiler

Compiled 7979 to 2354 computations (70.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
0.3b	(/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
0.5b	(/.f64 1 (-.f64 (*.f64 z y) x))
9.5b	(.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x)))

rewrite260.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

61×	`*-un-lft-identity_binary64_20879`
54×	`add-exp-log_binary64_20917`
43×	`times-frac_binary64_20885`
40×	`add-sqr-sqrt_binary64_20901`
33×	`add-cube-cbrt_binary64_20914`
22×	`add-cbrt-cube_binary64_20915`
21×	`div-exp_binary64_20930`
16×	`prod-exp_binary64_20928` `distribute-lft-out_binary64_20830`
15×	`associate-r_binary64_20819`
12×	`associate-/r/_binary64_20825`
11×	`associate-/l*_binary64_20824`
10×	`pow1_binary64_20940` `1-exp_binary64_20923` `rec-exp_binary64_20929`
9×	`div-inv_binary64_20876`
8×	`associate-/r*_binary64_20823`
7×	`cbrt-undiv_binary64_20913`
6×	`flip3--_binary64_20883` `flip--_binary64_20854`
4×	`add-log-exp_binary64_20918` `cbrt-unprod_binary64_20912` `frac-times_binary64_20889` `associate-*l/_binary64_20822`
3×	`unswap-sqr_binary64_20847` `associate-l_binary64_20820` `pow-flip_binary64_20953` `frac-2neg_binary64_20890` `clear-num_binary64_20878`
2×	`pow-prod-down_binary64_20950` `un-div-inv_binary64_20877` `associate-*r/_binary64_20821` `inv-pow_binary64_20964` `flip3-+_binary64_20882` `associate-/l/_binary64_20826` `flip-+_binary64_20853`
1×	`*-commutative_binary64_20810`

Counts

4 → 164

Calls

4 calls:

17.0ms	(/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
14.0ms	(.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x)))
13.0ms	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 (*.f64 z y) x))

Compiler

Compiled 5280 to 2340 computations (55.7% saved)

series1.2s (9.6%)

Error

0.7b

Counts

4 → 100

Calls

4 calls:

482.0ms	(/.f64 (+.f64 x (/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))) (+.f64 x 1))
260.0ms	(/.f64 1 (.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x))))
230.0ms	(.f64 (-.f64 (.f64 t z) x) (/.f64 1 (-.f64 (*.f64 z y) x)))
91.0ms	(/.f64 1 (-.f64 (*.f64 z y) x))

Compiler

Compiled 7180 to 4794 computations (33.2% saved)

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5221	6568

prune251.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	264	10	274

Error

0.7b

Counts

274 → 10

Compiler

Compiled 6912 to 2327 computations (66.3% saved)

regimes1.3s (10.9%)

Accuracy

Total 2.4b remaining (73.1%)

Threshold costs 0b (0%)

Compiler

Compiled 12643 to 7808 computations (38.2% saved)

bsearch5.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	205
1	86	205

end0.0ms (0%)

sample2.5s (20.6%)

Algorithm

1×

intervals

Results

380.0ms	8000×	body	128	valid
14.0ms	328×	body	128	invalid

Compiler

Compiled 2661 to 1622 computations (39% saved)

Details

analyze850.0ms (7%)

sample28.0ms (0.2%)

simplify68.0ms (0.6%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite174.0ms (1.4%)

series1.2s (10.2%)

simplify100.0ms (0.8%)

prune200.0ms (1.7%)

localize13.0ms (0.1%)

rewrite185.0ms (1.5%)

series1.3s (10.4%)

simplify103.0ms (0.8%)

prune212.0ms (1.8%)

localize13.0ms (0.1%)

rewrite282.0ms (2.3%)

series1.4s (11.3%)

simplify130.0ms (1.1%)

prune273.0ms (2.3%)

localize14.0ms (0.1%)

rewrite260.0ms (2.1%)

series1.2s (9.6%)

simplify95.0ms (0.8%)

prune251.0ms (2.1%)

regimes1.3s (10.9%)

bsearch5.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.5s (20.6%)

Profiling