Details

analyze2.1s (20.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample85.0ms (0.8%)

Algorithm

1×

intervals

Results

25.0ms	338×	body	128	invalid
24.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify396.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (390.0ms)

Iter	Nodes	Cost
0	4983	43
1	4983	43

prune4.0ms (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

Merged error: 11.3b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 c t) (.f64 i y))
4.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
7×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64`

Counts

4 → 84

Calls

4 calls:

8.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.0ms	(-.f64 (.f64 c t) (.f64 i y))

series608.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
175.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
172.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
80.0ms	(-.f64 (.f64 c t) (.f64 i y))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4914	1492
1	4914	1492

prune711.0ms (6.7%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	75	21	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	22	97

Merged error: 7.6b

Counts

97 → 22

Compiler

Compiled 18983 to 10501 computations (44.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.9b	(.f64 b (.f64 z c))
5.3b	(.f64 b (.f64 a (neg.f64 i)))
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `-commutative_binary64`
2×	`flip3--_binary64` `distribute-rgt-neg-out_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

8.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 b (.f64 a (neg.f64 i)))
5.0ms	(.f64 b (.f64 z c))

series436.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
170.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
50.0ms	(.f64 b (.f64 a (neg.f64 i)))
45.0ms	(.f64 b (.f64 z c))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4882	1235
1	4882	1235

prune337.0ms (3.2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	4	16	20
Picked	0	1	1
Done	0	1	1
Total	96	23	119

Merged error: 7.1b

Counts

119 → 23

Compiler

Compiled 9683 to 4542 computations (53.1% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.1b	(.f64 x (neg.f64 (.f64 t a)))
4.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.9b	(.f64 x (.f64 y z))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
12×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0ms	(.f64 x (.f64 y z))
5.0ms	(.f64 x (neg.f64 (.f64 t a)))

series430.0ms (4%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
160.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
53.0ms	(.f64 x (.f64 y z))
51.0ms	(.f64 x (neg.f64 (.f64 t a)))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5112	1271

prune258.0ms (2.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	16	20
Picked	1	0	1
Done	2	0	2
Total	104	19	123

Merged error: 4.4b

Counts

123 → 19

Compiler

Compiled 7668 to 3141 computations (59% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.1b	(.f64 x (neg.f64 (.f64 t a)))
4.8b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.2b	(.f64 (.f64 x y) z)
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 88

Calls

4 calls:

8.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
8.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0ms	(.f64 (.f64 x y) z)
6.0ms	(.f64 x (neg.f64 (.f64 t a)))

series437.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

179.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
162.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
51.0ms	(.f64 x (neg.f64 (.f64 t a)))
45.0ms	(.f64 (.f64 x y) z)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5239	1273

prune224.0ms (2.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	97	22	119

Merged error: 4.0b

Counts

119 → 22

Compiler

Compiled 6872 to 2596 computations (62.2% saved)

regimes656.0ms (6.2%)

Compiler: Compiled 7452 to 5265 computations (29.3% saved)

bsearch318.0ms (3%)

Steps

Iters	Range		Point
10	3.666152728618534e-50	2.297868957858363e-40	2.0120685999119315e-44
8	3.001550067607848e-199	1.809723039294264e-195	2.00878951566887e-196
9	-6.608137290499716e+29	-6.838656277632146e+23	-1.6073306947506662e+25
9	-1.0974597564632651e+219	-2.988400782772852e+212	-1.7106688628951268e+218

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	491	254
1	491	254

end0.0ms (0%)

sample3.1s (28.9%)

Algorithm

1×

intervals

Results

888.0ms	11067×	body	128	invalid
637.0ms	8000×	body	128	valid

Compiler

Compiled 1212 to 713 computations (41.2% saved)

Details

analyze2.1s (20.1%)

sample85.0ms (0.8%)

simplify396.0ms (3.7%)

prune4.0ms (0%)

localize26.0ms (0.2%)

rewrite36.0ms (0.3%)

series608.0ms (5.7%)

simplify68.0ms (0.6%)

prune711.0ms (6.7%)

localize28.0ms (0.3%)

rewrite38.0ms (0.4%)

series436.0ms (4.1%)

simplify66.0ms (0.6%)

prune337.0ms (3.2%)

localize24.0ms (0.2%)

rewrite36.0ms (0.3%)

series430.0ms (4%)

simplify67.0ms (0.6%)

prune258.0ms (2.4%)

localize30.0ms (0.3%)

rewrite38.0ms (0.4%)

series437.0ms (4.1%)

simplify73.0ms (0.7%)

prune224.0ms (2.1%)

regimes656.0ms (6.2%)

bsearch318.0ms (3%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample3.1s (28.9%)

Profiling