Details

analyze2.0s (17.9%)

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)

sample83.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	325×	body	128	invalid
19.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify580.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (391.0ms)

Iter	Nodes	Cost
0	4983	43
1	4983	43

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

Merged error: 15.7b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 y z) (.f64 t a))
5.4b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_15581`
10×	`add-cbrt-cube_binary64_15595` `pow1_binary64_15620` `add-exp-log_binary64_15597` `*-un-lft-identity_binary64_15559` `add-cube-cbrt_binary64_15594`
9×	`associate-r_binary64_15499` `associate-l_binary64_15500`
7×	`sub-neg_binary64_15552` `cancel-sign-sub-inv_binary64_15525`
6×	`distribute-lft-in_binary64_15508` `distribute-rgt-in_binary64_15509` `associate-*r/_binary64_15501` `add-log-exp_binary64_15598`
4×	`flip--_binary64_15534` `flip3--_binary64_15563`
3×	`prod-exp_binary64_15608` `pow-prod-down_binary64_15630` `*-commutative_binary64_15490` `cbrt-unprod_binary64_15592` `unswap-sqr_binary64_15527`
1×	`diff-log_binary64_15651`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.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 y z) (.f64 t a))

series614.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
179.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
173.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
82.0ms	(-.f64 (.f64 y z) (.f64 t a))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4925	1492
1	4925	1492

prune727.0ms (6.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	78	18	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	19	97

Merged error: 11.9b

Counts

97 → 19

Compiler

Compiled 18755 to 10043 computations (46.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_15581`
12×	`add-cbrt-cube_binary64_15595` `pow1_binary64_15620` `associate-r_binary64_15499` `add-exp-log_binary64_15597` `-un-lft-identity_binary64_15559` `associate-l*_binary64_15500` `add-cube-cbrt_binary64_15594`
8×	`sub-neg_binary64_15552` `distribute-lft-in_binary64_15508` `distribute-rgt-in_binary64_15509` `associate-*r/_binary64_15501` `cancel-sign-sub-inv_binary64_15525`
4×	`flip--_binary64_15534` `prod-exp_binary64_15608` `pow-prod-down_binary64_15630` `flip3--_binary64_15563` `add-log-exp_binary64_15598` `*-commutative_binary64_15490` `cbrt-unprod_binary64_15592` `unswap-sqr_binary64_15527`

Counts

4 → 96

Calls

4 calls:

9.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series666.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
166.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
166.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
163.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4938	1696
1	4938	1696

prune208.0ms (1.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	17	17
Picked	1	0	1
Done	0	1	1
Total	108	19	127

Merged error: 11.9b

Counts

127 → 19

Compiler

Compiled 7699 to 1445 computations (81.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
9.5b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
9.5b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
9.5b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_15581`
9×	`cbrt-prod_binary64_15590` `*-un-lft-identity_binary64_15559` `add-cube-cbrt_binary64_15594`
6×	`add-cbrt-cube_binary64_15595` `cbrt-div_binary64_15591` `pow1_binary64_15620` `add-exp-log_binary64_15597`
4×	`flip--_binary64_15534` `flip3--_binary64_15563` `add-log-exp_binary64_15598`
3×	`pow1/3_binary64_15641` `associate-r_binary64_15499` `associate-l_binary64_15500`
2×	`sub-neg_binary64_15552` `distribute-lft-in_binary64_15508` `distribute-rgt-in_binary64_15509` `associate-*r/_binary64_15501` `cancel-sign-sub-inv_binary64_15525`
1×	`prod-exp_binary64_15608` `pow-prod-down_binary64_15630` `*-commutative_binary64_15490` `cbrt-unprod_binary64_15592` `unswap-sqr_binary64_15527`

Counts

4 → 63

Calls

4 calls:

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

series967.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
263.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
262.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
169.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4936	1396
1	4936	1396

prune196.0ms (1.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	17	17
Picked	1	0	1
Done	0	1	1
Total	74	20	94

Merged error: 11.9b

Counts

94 → 20

Compiler

Compiled 6484 to 1996 computations (69.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
6.4b	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
6.4b	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_15581`
12×	`add-cbrt-cube_binary64_15595` `pow1_binary64_15620` `associate-r_binary64_15499` `add-exp-log_binary64_15597` `-un-lft-identity_binary64_15559` `associate-l*_binary64_15500` `add-cube-cbrt_binary64_15594`
8×	`sub-neg_binary64_15552` `distribute-lft-in_binary64_15508` `distribute-rgt-in_binary64_15509` `associate-*r/_binary64_15501` `cancel-sign-sub-inv_binary64_15525`
4×	`flip--_binary64_15534` `prod-exp_binary64_15608` `pow-prod-down_binary64_15630` `flip3--_binary64_15563` `add-log-exp_binary64_15598` `*-commutative_binary64_15490` `cbrt-unprod_binary64_15592` `unswap-sqr_binary64_15527`

Counts

4 → 96

Calls

4 calls:

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

series669.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
174.0ms	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
161.0ms	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
159.0ms	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4936	1696
1	4936	1696

prune282.0ms (2.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	18	18
Picked	1	0	1
Done	0	1	1
Total	106	22	128

Merged error: 11.9b

Counts

128 → 22

Compiler

Compiled 9815 to 2703 computations (72.5% saved)

regimes626.0ms (5.5%)

Compiler: Compiled 8906 to 5888 computations (33.9% saved)

bsearch3.0ms (0%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	247	119
1	247	119

end0.0ms (0%)

sample3.2s (27.9%)

Algorithm

1×

intervals

Results

889.0ms	11239×	body	128	invalid
632.0ms	8000×	body	128	valid

Compiler

Compiled 1178 to 690 computations (41.4% saved)

Details

analyze2.0s (17.9%)

sample83.0ms (0.7%)

simplify580.0ms (5.1%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite35.0ms (0.3%)

series614.0ms (5.4%)

simplify64.0ms (0.6%)

prune727.0ms (6.4%)

localize25.0ms (0.2%)

rewrite47.0ms (0.4%)

series666.0ms (5.9%)

simplify63.0ms (0.6%)

prune208.0ms (1.8%)

localize24.0ms (0.2%)

rewrite29.0ms (0.3%)

series967.0ms (8.5%)

simplify84.0ms (0.7%)

prune196.0ms (1.7%)

localize25.0ms (0.2%)

rewrite45.0ms (0.4%)

series669.0ms (5.9%)

simplify63.0ms (0.6%)

prune282.0ms (2.5%)

regimes626.0ms (5.5%)

bsearch3.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.2s (27.9%)

Profiling