Details

analyze613.0ms (14.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_7943`
7×	`*-un-lft-identity_binary64_7921`
6×	`associate-l_binary64_7862`
4×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `add-cube-cbrt_binary64_7956`
3×	`associate-r_binary64_7861`
2×	`associate-*l/_binary64_7864` `difference-of-squares_binary64_7890`
1×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `unswap-sqr_binary64_7889` `flip3--_binary64_7925` `flip--_binary64_7896` `distribute-lft-out--_binary64_7873` `*-commutative_binary64_7852` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

2 → 34

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 x) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 571 to 316 computations (44.7% saved)

series203.0ms (4.7%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

122.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
60.0ms	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 529 to 326 computations (38.4% saved)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5458	610

prune39.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

Counts

63 → 3

Compiler

Compiled 700 to 210 computations (70% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(+.f64 z (*.f64 x (-.f64 y z)))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_7943` `cancel-sign-sub-inv_binary64_7887`
10×	`*-un-lft-identity_binary64_7921`
8×	`add-cube-cbrt_binary64_7956` `distribute-rgt-in_binary64_7871` `associate-+r+_binary64_7853` `distribute-lft-in_binary64_7870`
5×	`associate-r_binary64_7861`
4×	`add-log-exp_binary64_7960` `pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `sub-neg_binary64_7914`
3×	`associate-l_binary64_7862`
2×	`associate-*r/_binary64_7863`
1×	`sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851` `pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `unswap-sqr_binary64_7889` `flip3--_binary64_7925` `flip--_binary64_7896` `difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873` `*-commutative_binary64_7852`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
4.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series228.0ms (5.3%)

Error

Counts

2 → 33

Calls

2 calls:

122.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
92.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5339	764

prune41.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 830 to 167 computations (79.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 z (.f64 x (-.f64 y z)))) (cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z)))))
0.6b	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))
0.6b	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))
0.6b	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))

rewrite105.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_7952`
23×	`add-sqr-sqrt_binary64_7943`
18×	`cbrt-div_binary64_7953`
15×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
11×	`pow1_binary64_7982`
9×	`pow1/3_binary64_8003` `flip3-+_binary64_7924` `flip-+_binary64_7895`
6×	`add-exp-log_binary64_7959` `swap-sqr_binary64_7888` `associate-l_binary64_7862` `associate-r_binary64_7861`
4×	`add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `frac-times_binary64_7931` `unswap-sqr_binary64_7889`
2×	`pow-prod-down_binary64_7992` `pow-prod-up_binary64_7991` `pow-sqr_binary64_7894` `associate-l/_binary64_7864` `associate-r/_binary64_7863`
1×	`pow2_binary64_8002` `pow-plus_binary64_7984` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `*-commutative_binary64_7852`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 x (-.f64 y z)))) (cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z)))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))

Compiler

Compiled 3392 to 340 computations (90% saved)

series1.7s (39.8%)

Error

Counts

4 → 78

Calls

4 calls:

611.0ms	(.f64 (cbrt.f64 (+.f64 z (.f64 x (-.f64 y z)))) (cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z)))))
324.0ms	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))
323.0ms	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))
310.0ms	(cbrt.f64 (+.f64 z (*.f64 x (-.f64 y z))))

Compiler

Compiled 11322 to 7254 computations (35.9% saved)

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5380	5420

prune185.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	165	3	168

Error

Counts

168 → 3

Compiler

Compiled 6274 to 1648 computations (73.7% saved)

regimes100.0ms (2.3%)

Accuracy

Total 0.0b remaining (76.2%)

Threshold costs 0.0b (76.2%)

Compiler

Compiled 680 to 538 computations (20.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample706.0ms (16.4%)

Algorithm

1×

intervals

Results

216.0ms	8000×	body	128	valid
17.0ms	695×	body	128	invalid

Compiler

Compiled 183 to 146 computations (20.2% saved)

Details

analyze613.0ms (14.2%)

sample18.0ms (0.4%)

simplify21.0ms (0.5%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite42.0ms (1%)

series203.0ms (4.7%)

simplify68.0ms (1.6%)

prune39.0ms (0.9%)

localize5.0ms (0.1%)

rewrite44.0ms (1%)

series228.0ms (5.3%)

simplify65.0ms (1.5%)

prune41.0ms (0.9%)

localize9.0ms (0.2%)

rewrite105.0ms (2.4%)

series1.7s (39.8%)

simplify87.0ms (2%)

prune185.0ms (4.3%)

regimes100.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample706.0ms (16.4%)

Profiling