Details

analyze1.1s (11.7%)

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)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify182.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

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

12.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 a z))
0.0b	(-.f64 x (*.f64 y z))
12.2b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite74.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

11×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
9×	`times-frac_binary64_17475`
7×	`add-log-exp_binary64_17508`
5×	`add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
4×	`flip3--_binary64_17473` `flip--_binary64_17444`
3×	`pow1_binary64_17530` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`associate-/l/_binary64_17416` `associate-/r/_binary64_17415` `diff-log_binary64_17561` `sub-neg_binary64_17462` `cancel-sign-sub-inv_binary64_17435`
1×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `frac-2neg_binary64_17480` `div-sub_binary64_17474` `clear-num_binary64_17468` `div-inv_binary64_17466`

Counts

3 → 56

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 a z))

Compiler

Compiled 1164 to 205 computations (82.4% saved)

series647.0ms (7.1%)

Error

2.5b

Counts

3 → 76

Calls

3 calls:

427.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
81.0ms	(-.f64 x (*.f64 y z))
75.0ms	(-.f64 t (*.f64 a z))

Compiler

Compiled 3522 to 2187 computations (37.9% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5196	2706

prune113.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	121	11	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Error

2.4b

Counts

133 → 11

Compiler

Compiled 2575 to 547 computations (78.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.0b	(-.f64 x (*.f64 y z))
0.6b	(/.f64 1 (-.f64 t (*.f64 z a)))
11.8b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite108.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.4b

Rules

27×	`add-sqr-sqrt_binary64_17491`
21×	`*-un-lft-identity_binary64_17469`
20×	`add-cube-cbrt_binary64_17504` `times-frac_binary64_17475`
17×	`add-exp-log_binary64_17507`
15×	`associate-r_binary64_17409`
11×	`add-cbrt-cube_binary64_17505`
8×	`add-log-exp_binary64_17508`
7×	`pow1_binary64_17530`
6×	`flip3--_binary64_17473` `flip--_binary64_17444`
4×	`div-exp_binary64_17520` `prod-exp_binary64_17518` `associate-/r/_binary64_17415`
3×	`unswap-sqr_binary64_17437` `associate-l_binary64_17410` `associate-/l_binary64_17414` `associate-/r_binary64_17413`
2×	`1-exp_binary64_17513` `rec-exp_binary64_17519` `cbrt-unprod_binary64_17502` `cbrt-undiv_binary64_17503` `frac-times_binary64_17479` `associate-*l/_binary64_17412` `div-inv_binary64_17466` `diff-log_binary64_17561` `sub-neg_binary64_17462` `cancel-sign-sub-inv_binary64_17435`
1×	`pow-prod-down_binary64_17540` `un-div-inv_binary64_17467` `associate-r/_binary64_17411` `-commutative_binary64_17400` `inv-pow_binary64_17554` `pow-flip_binary64_17543` `frac-2neg_binary64_17480` `clear-num_binary64_17468`

Counts

4 → 99

Calls

4 calls:

12.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 2207 to 663 computations (70% saved)

series816.0ms (9%)

Error

2.4b

Counts

4 → 104

Calls

4 calls:

416.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
130.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
90.0ms	(-.f64 x (*.f64 y z))
83.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 5156 to 3418 computations (33.7% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5005	3993

prune158.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	203	11	214

Error

2.4b

Counts

214 → 11

Compiler

Compiled 4145 to 1159 computations (72% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.0b	(-.f64 x (*.f64 z y))
0.7b	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y))))
12.1b	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y)))

rewrite162.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

2.4b

Rules

90×	`times-frac_binary64_17475`
56×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `*-un-lft-identity_binary64_17469`
18×	`associate-/r*_binary64_17413`
17×	`add-exp-log_binary64_17507`
11×	`add-cbrt-cube_binary64_17505` `associate-/r/_binary64_17415`
8×	`div-exp_binary64_17520` `add-log-exp_binary64_17508` `flip3--_binary64_17473` `flip--_binary64_17444`
6×	`div-inv_binary64_17466` `associate-/l*_binary64_17414`
5×	`pow1_binary64_17530`
4×	`cbrt-undiv_binary64_17503`
2×	`frac-2neg_binary64_17480` `clear-num_binary64_17468` `associate-/l/_binary64_17416` `1-exp_binary64_17513` `rec-exp_binary64_17519` `diff-log_binary64_17561` `sub-neg_binary64_17462` `cancel-sign-sub-inv_binary64_17435`
1×	`div-sub_binary64_17474` `inv-pow_binary64_17554` `pow-flip_binary64_17543`

Counts

4 → 140

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y))))
6.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y)))
3.0ms	(-.f64 t (*.f64 z a))
3.0ms	(-.f64 x (*.f64 z y))

Compiler

Compiled 3656 to 885 computations (75.8% saved)

series1.1s (11.8%)

Error

2.4b

Counts

4 → 107

Calls

4 calls:

413.0ms	(/.f64 1 (/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y))))
389.0ms	(/.f64 (-.f64 t (.f64 z a)) (-.f64 x (.f64 z y)))
92.0ms	(-.f64 t (*.f64 z a))
89.0ms	(-.f64 x (*.f64 z y))

Compiler

Compiled 5489 to 3519 computations (35.9% saved)

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5097	6175

prune194.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	247	11	258

Error

2.4b

Counts

258 → 11

Compiler

Compiled 5420 to 1132 computations (79.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 z y))
0.5b	(/.f64 1 (-.f64 x (*.f64 z y)))
0.7b	(/.f64 1 (.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y)))))
11.7b	(.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y))))

rewrite161.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

2.4b

Rules

52×	`add-exp-log_binary64_17507`
29×	`add-sqr-sqrt_binary64_17491`
23×	`*-un-lft-identity_binary64_17469` `times-frac_binary64_17475`
22×	`add-cube-cbrt_binary64_17504`
20×	`div-exp_binary64_17520` `add-cbrt-cube_binary64_17505`
16×	`prod-exp_binary64_17518`
15×	`associate-r_binary64_17409`
10×	`pow1_binary64_17530` `1-exp_binary64_17513` `rec-exp_binary64_17519` `associate-/r/_binary64_17415`
7×	`flip3--_binary64_17473` `flip--_binary64_17444`
6×	`add-log-exp_binary64_17508` `cbrt-undiv_binary64_17503` `associate-/l*_binary64_17414`
4×	`cbrt-unprod_binary64_17502` `frac-times_binary64_17479` `associate-l/_binary64_17412` `associate-/r_binary64_17413`
3×	`unswap-sqr_binary64_17437` `associate-l_binary64_17410` `div-inv_binary64_17466` `pow-flip_binary64_17543`
2×	`pow-prod-down_binary64_17540` `un-div-inv_binary64_17467` `associate-*r/_binary64_17411` `inv-pow_binary64_17554` `frac-2neg_binary64_17480` `clear-num_binary64_17468`
1×	`*-commutative_binary64_17400` `diff-log_binary64_17561` `sub-neg_binary64_17462` `cancel-sign-sub-inv_binary64_17435`

Counts

4 → 131

Calls

4 calls:

12.0ms	(.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y))))
11.0ms	(/.f64 1 (.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y)))))
5.0ms	(/.f64 1 (-.f64 x (*.f64 z y)))
3.0ms	(-.f64 x (*.f64 z y))

Compiler

Compiled 3137 to 1131 computations (63.9% saved)

series1.1s (11.7%)

Error

2.4b

Counts

4 → 107

Calls

4 calls:

413.0ms	(/.f64 1 (.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y)))))
376.0ms	(.f64 (-.f64 t (.f64 z a)) (/.f64 1 (-.f64 x (*.f64 z y))))
98.0ms	(/.f64 1 (-.f64 x (*.f64 z y)))
82.0ms	(-.f64 x (*.f64 z y))

Compiler

Compiled 5940 to 3933 computations (33.8% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5133	4666

prune179.0ms (2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	235	3	238
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	235	14	249

Error

1.6b

Counts

249 → 14

Compiler

Compiled 4604 to 1277 computations (72.3% saved)

regimes996.0ms (11%)

Accuracy

Total 3.5b remaining (65.4%)

Threshold costs 0b (0%)

Compiler

Compiled 8234 to 5328 computations (35.3% saved)

bsearch4.0ms (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	85	135
1	85	135

end0.0ms (0%)

sample1.7s (18.4%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
30.0ms	697×	body	128	invalid

Compiler

Compiled 1499 to 931 computations (37.9% saved)

Details

analyze1.1s (11.7%)

sample29.0ms (0.3%)

simplify182.0ms (2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite74.0ms (0.8%)

series647.0ms (7.1%)

simplify70.0ms (0.8%)

prune113.0ms (1.2%)

localize9.0ms (0.1%)

rewrite108.0ms (1.2%)

series816.0ms (9%)

simplify84.0ms (0.9%)

prune158.0ms (1.7%)

localize9.0ms (0.1%)

rewrite162.0ms (1.8%)

series1.1s (11.8%)

simplify102.0ms (1.1%)

prune194.0ms (2.1%)

localize10.0ms (0.1%)

rewrite161.0ms (1.8%)

series1.1s (11.7%)

simplify93.0ms (1%)

prune179.0ms (2%)

regimes996.0ms (11%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (18.4%)

Profiling