Details

analyze2.4s (9.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	400
1	4968	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Symmetry

(sort y z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample63.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	88×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

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

4.1b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 y 9) z)
0.5b	(.f64 (.f64 a 27) b)
7.0b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite194.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
12×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
9×	`add-log-exp_binary64_19213` `associate-r_binary64_19114`
7×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
3×	`associate-l_binary64_19115` `*-commutative_binary64_19105`
2×	`sum-log_binary64_19265` `associate-+l+_binary64_19107`
1×	`diff-log_binary64_19266` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140` `+-commutative_binary64_19104`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 (.f64 a 27) b)

Compiler

Compiled 1622 to 1070 computations (34% saved)

series1.2s (4.9%)

Error

3.2b

Counts

4 → 57

Calls

4 calls:

822.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
180.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
85.0ms	(.f64 (.f64 a 27) b)
82.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1572 to 1581 computations (-0.6% saved)

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4982	1863
1	4982	1863

prune145.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	121	8	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	8	130

Error

0.0b

Counts

130 → 8

Compiler

Compiled 1420 to 859 computations (39.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
0.1b	(.f64 a (.f64 27 b))
0.2b	(.f64 (.f64 y 9) z)
7.0b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite192.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
12×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
9×	`add-log-exp_binary64_19213`
7×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `-un-lft-identity_binary64_19174` `associate-r*_binary64_19114`
5×	`associate-l_binary64_19115`
3×	`*-commutative_binary64_19105`
2×	`sum-log_binary64_19265` `associate-+l+_binary64_19107`
1×	`diff-log_binary64_19266` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140` `+-commutative_binary64_19104`

Counts

4 → 72

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
7.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
5.0ms	(.f64 (.f64 y 9) z)
5.0ms	(.f64 a (.f64 27 b))

Compiler

Compiled 1603 to 1057 computations (34.1% saved)

series1.2s (5%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

835.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
185.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
82.0ms	(.f64 a (.f64 27 b))
81.0ms	(.f64 (.f64 y 9) z)

Compiler

Compiled 1572 to 1581 computations (-0.6% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4954	1861
1	4954	1861

prune151.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Error

0.0b

Counts

137 → 7

Compiler

Compiled 1405 to 839 computations (40.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))
0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z))) (.f64 a (.f64 27 b)))
0.1b	(.f64 a (.f64 27 b))
7.4b	(.f64 (.f64 y 9) (*.f64 t z))

rewrite172.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
11×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `add-log-exp_binary64_19213` `cbrt-unprod_binary64_19207`
5×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
4×	`associate-l_binary64_19115`
2×	`associate-r_binary64_19114` `*-commutative_binary64_19105` `diff-log_binary64_19266` `sum-log_binary64_19265` `sub-neg_binary64_19167` `associate-+l+_binary64_19107` `cancel-sign-sub-inv_binary64_19140`
1×	`flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-+l-_binary64_19109` `+-commutative_binary64_19104` `flip3--_binary64_19178` `flip--_binary64_19149`

Counts

4 → 67

Calls

4 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z))) (.f64 a (.f64 27 b)))
7.0ms	(.f64 (.f64 y 9) (*.f64 t z))
5.0ms	(.f64 a (.f64 27 b))
4.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))

Compiler

Compiled 1596 to 979 computations (38.7% saved)

series1.5s (6.3%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

826.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z))) (.f64 a (.f64 27 b)))
388.0ms	(-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 t z)))
180.0ms	(.f64 (.f64 y 9) (*.f64 t z))
88.0ms	(.f64 a (.f64 27 b))

Compiler

Compiled 1934 to 1954 computations (-1% saved)

simplify80.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4942	2240
1	4942	2240

prune143.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	141	8	149

Error

0.0b

Counts

149 → 8

Compiler

Compiled 1403 to 775 computations (44.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 t z)))) (.f64 a (.f64 27 b)))
0.1b	(.f64 a (.f64 27 b))
0.2b	(.f64 9 (.f64 t z))
7.2b	(.f64 y (.f64 9 (*.f64 t z)))

rewrite190.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_19235` `add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
12×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
9×	`add-log-exp_binary64_19213` `associate-l_binary64_19115`
7×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
3×	`associate-r_binary64_19114` `*-commutative_binary64_19105`
2×	`sum-log_binary64_19265` `associate-+l+_binary64_19107`
1×	`diff-log_binary64_19266` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-+l-_binary64_19109` `sub-neg_binary64_19167` `cancel-sign-sub-inv_binary64_19140` `+-commutative_binary64_19104`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 t z)))) (.f64 a (.f64 27 b)))
7.0ms	(.f64 y (.f64 9 (*.f64 t z)))
5.0ms	(.f64 a (.f64 27 b))
5.0ms	(.f64 9 (.f64 t z))

Compiler

Compiled 1565 to 956 computations (38.9% saved)

series1.2s (4.9%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

810.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 t z)))) (.f64 a (.f64 27 b)))
178.0ms	(.f64 y (.f64 9 (*.f64 t z)))
87.0ms	(.f64 a (.f64 27 b))
79.0ms	(.f64 9 (.f64 t z))

Compiler

Compiled 1572 to 1581 computations (-0.6% saved)

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4952	1855
1	4952	1855

prune141.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	129	8	137

Error

0.0b

Counts

137 → 8

Compiler

Compiled 1245 to 679 computations (45.5% saved)

regimes12.5s (51.9%)

Accuracy

Total 0.6b remaining (95.2%)

Threshold costs 0.6b (95.2%)

Compiler

Compiled 94196 to 90075 computations (4.4% saved)

bsearch27.0ms (0.1%)

Steps

Iters	Range		Point
3	5.1284883618377843e-45	2.046418187908975e-44	1.7667806396472788e-44

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	127	56
1	127	56

end65.0ms (0.3%)

Compiler: Compiled 190 to 155 computations (18.4% saved)

sample2.2s (9.2%)

Algorithm

1×

intervals

Results

431.0ms	8000×	body	128	valid
169.0ms	3076×	body	128	invalid

Compiler

Compiled 255 to 257 computations (-0.8% saved)

Details

analyze2.4s (9.9%)

sample63.0ms (0.3%)

simplify50.0ms (0.2%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite194.0ms (0.8%)

series1.2s (4.9%)

simplify90.0ms (0.4%)

prune145.0ms (0.6%)

localize13.0ms (0.1%)

rewrite192.0ms (0.8%)

series1.2s (5%)

simplify75.0ms (0.3%)

prune151.0ms (0.6%)

localize16.0ms (0.1%)

rewrite172.0ms (0.7%)

series1.5s (6.3%)

simplify80.0ms (0.3%)

prune143.0ms (0.6%)

localize14.0ms (0.1%)

rewrite190.0ms (0.8%)

series1.2s (4.9%)

simplify89.0ms (0.4%)

prune141.0ms (0.6%)

regimes12.5s (51.9%)

bsearch27.0ms (0.1%)

simplify4.0ms (0%)

end65.0ms (0.3%)

sample2.2s (9.2%)

Profiling