Details

analyze1.6s (17.8%)

Algorithm

1×

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample50.0ms (0.6%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
8.0ms	93×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify850.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (677.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune8.0ms (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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.2b	(.f64 (.f64 z 3) y)
0.2b	(/.f64 y (*.f64 z 3))
5.7b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite71.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
16×	`*-un-lft-identity_binary64_15764`
11×	`add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799`
9×	`add-log-exp_binary64_15803` `times-frac_binary64_15770` `pow1_binary64_15825`
8×	`associate-+l+_binary64_15697`
7×	`cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `cancel-sign-sub-inv_binary64_15730`
6×	`associate-/l*_binary64_15709`
5×	`cbrt-undiv_binary64_15798` `div-exp_binary64_15815`
3×	`div-inv_binary64_15761` `associate-r_binary64_15704` `pow-prod-down_binary64_15835`
2×	`distribute-lft-out_binary64_15715` `sum-log_binary64_15855` `frac-add_binary64_15772` `frac-2neg_binary64_15775` `associate-/r*_binary64_15708` `clear-num_binary64_15763`
1×	`associate-+l-_binary64_15699` `distribute-lft-out--_binary64_15716` `flip3-+_binary64_15767` `sub-neg_binary64_15757` `associate-l_binary64_15705` `flip--_binary64_15739` `*-commutative_binary64_15695` `+-commutative_binary64_15694` `flip-+_binary64_15738` `flip3--_binary64_15768` `diff-log_binary64_15856`

Counts

4 → 87

Calls

4 calls:

26.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
12.0ms	(/.f64 t (.f64 (.f64 z 3) y))
11.0ms	(.f64 (.f64 z 3) y)
9.0ms	(/.f64 y (*.f64 z 3))

series244.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
51.0ms	(/.f64 t (.f64 (.f64 z 3) y))
29.0ms	(.f64 (.f64 z 3) y)
28.0ms	(/.f64 y (*.f64 z 3))

simplify111.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5004	1512

prune209.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

Compiler

Compiled 2022 to 1263 computations (37.5% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
0.2b	(/.f64 t (*.f64 z 3))
0.2b	(/.f64 y (*.f64 z 3))
4.4b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite80.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_15770`
31×	`*-un-lft-identity_binary64_15764`
26×	`add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799`
23×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
13×	`associate-/l*_binary64_15709`
9×	`add-log-exp_binary64_15803` `cbrt-undiv_binary64_15798` `div-exp_binary64_15815`
8×	`associate-+l+_binary64_15697` `div-inv_binary64_15761`
7×	`cancel-sign-sub-inv_binary64_15730`
5×	`associate-/r*_binary64_15708`
4×	`pow1_binary64_15825`
3×	`cbrt-unprod_binary64_15797` `frac-2neg_binary64_15775` `prod-exp_binary64_15813` `clear-num_binary64_15763`
2×	`distribute-lft-out_binary64_15715` `sum-log_binary64_15855` `frac-add_binary64_15772`
1×	`associate-+l-_binary64_15699` `distribute-lft-out--_binary64_15716` `flip3-+_binary64_15767` `sub-neg_binary64_15757` `flip--_binary64_15739` `associate-/l/_binary64_15711` `+-commutative_binary64_15694` `flip-+_binary64_15738` `flip3--_binary64_15768` `diff-log_binary64_15856`

Counts

4 → 115

Calls

4 calls:

34.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
12.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
8.0ms	(/.f64 y (*.f64 z 3))
8.0ms	(/.f64 t (*.f64 z 3))

series210.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
44.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
24.0ms	(/.f64 t (*.f64 z 3))
23.0ms	(/.f64 y (*.f64 z 3))

simplify145.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4961	1993
1	4961	1993

prune224.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	128	6	134

Merged error: 0b

Counts

134 → 6

Compiler

Compiled 2592 to 1507 computations (41.9% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
0.2b	(/.f64 t (*.f64 z 3))
0.2b	(*.f64 (/.f64 1 z) (/.f64 y 3))
4.4b	(/.f64 (/.f64 t (*.f64 z 3)) y)

rewrite93.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`times-frac_binary64_15770`
53×	`add-sqr-sqrt_binary64_15786`
40×	`add-exp-log_binary64_15802` `*-un-lft-identity_binary64_15764`
36×	`add-cube-cbrt_binary64_15799`
30×	`add-cbrt-cube_binary64_15800`
15×	`div-exp_binary64_15815`
13×	`associate-l_binary64_15705` `associate-r_binary64_15704`
11×	`cbrt-undiv_binary64_15798`
10×	`prod-exp_binary64_15813` `associate-/l*_binary64_15709`
9×	`add-log-exp_binary64_15803`
8×	`div-inv_binary64_15761`
6×	`cbrt-unprod_binary64_15797` `unswap-sqr_binary64_15732` `pow1_binary64_15825`
4×	`associate-/r*_binary64_15708`
2×	`associate-+l+_binary64_15697` `sum-log_binary64_15855` `frac-add_binary64_15772` `frac-2neg_binary64_15775` `clear-num_binary64_15763` `rec-exp_binary64_15814` `1-exp_binary64_15808`
1×	`associate-+l-_binary64_15699` `associate-l/_binary64_15707` `flip3-+_binary64_15767` `sub-neg_binary64_15757` `associate-r/_binary64_15706` `distribute-lft-out_binary64_15715` `frac-times_binary64_15774` `flip--_binary64_15739` `associate-/l/_binary64_15711` `*-commutative_binary64_15695` `cancel-sign-sub-inv_binary64_15730` `+-commutative_binary64_15694` `flip-+_binary64_15738` `flip3--_binary64_15768` `pow-prod-down_binary64_15835` `diff-log_binary64_15856`

Counts

4 → 143

Calls

4 calls:

26.0ms	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
21.0ms	(*.f64 (/.f64 1 z) (/.f64 y 3))
12.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
8.0ms	(/.f64 t (*.f64 z 3))

series212.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(+.f64 (-.f64 x (.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 (/.f64 t (.f64 z 3)) y))
44.0ms	(/.f64 (/.f64 t (*.f64 z 3)) y)
24.0ms	(*.f64 (/.f64 1 z) (/.f64 y 3))
21.0ms	(/.f64 t (*.f64 z 3))

simplify167.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4955	2311
1	4955	2311

prune300.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Merged error: 0b

Counts

161 → 6

Compiler

Compiled 3440 to 2108 computations (38.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
0.2b	(/.f64 (/.f64 t z) 3)
0.2b	(/.f64 y (*.f64 z 3))
4.4b	(/.f64 (/.f64 (/.f64 t z) 3) y)

rewrite207.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64_15770`
239×	`*-un-lft-identity_binary64_15764`
234×	`add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799`
59×	`associate-/l*_binary64_15709`
24×	`div-inv_binary64_15761`
23×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
11×	`cbrt-undiv_binary64_15798` `div-exp_binary64_15815`
9×	`add-log-exp_binary64_15803`
8×	`associate-+l+_binary64_15697`
7×	`associate-/r*_binary64_15708` `cancel-sign-sub-inv_binary64_15730`
4×	`pow1_binary64_15825`
3×	`frac-2neg_binary64_15775` `clear-num_binary64_15763`
2×	`distribute-lft-out_binary64_15715` `sum-log_binary64_15855` `frac-add_binary64_15772` `associate-/l/_binary64_15711`
1×	`associate-+l-_binary64_15699` `distribute-lft-out--_binary64_15716` `flip3-+_binary64_15767` `sub-neg_binary64_15757` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `flip--_binary64_15739` `+-commutative_binary64_15694` `flip-+_binary64_15738` `flip3--_binary64_15768` `diff-log_binary64_15856`

Counts

4 → 308

Calls

4 calls:

87.0ms	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
28.0ms	(/.f64 (/.f64 (/.f64 t z) 3) y)
11.0ms	(/.f64 (/.f64 t z) 3)
8.0ms	(/.f64 y (*.f64 z 3))

series212.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t z) 3) y))
43.0ms	(/.f64 (/.f64 (/.f64 t z) 3) y)
23.0ms	(/.f64 (/.f64 t z) 3)
22.0ms	(/.f64 y (*.f64 z 3))

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5068	7173

prune652.0ms (7.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	319	1	320
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	320	6	326

Merged error: 0b

Counts

326 → 6

Compiler

Compiled 8019 to 4086 computations (49% saved)

regimes572.0ms (6.4%)

Compiler: Compiled 3197 to 2696 computations (15.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms (0%)

sample2.4s (27.3%)

Algorithm

1×

intervals

Results

699.0ms	8000×	body	128	valid
269.0ms	3072×	body	128	invalid

Compiler

Compiled 536 to 452 computations (15.7% saved)

Details

analyze1.6s (17.8%)

sample50.0ms (0.6%)

simplify850.0ms (9.5%)

prune8.0ms (0.1%)

localize20.0ms (0.2%)

rewrite71.0ms (0.8%)

series244.0ms (2.7%)

simplify111.0ms (1.2%)

prune209.0ms (2.3%)

localize24.0ms (0.3%)

rewrite80.0ms (0.9%)

series210.0ms (2.4%)

simplify145.0ms (1.6%)

prune224.0ms (2.5%)

localize27.0ms (0.3%)

rewrite93.0ms (1%)

series212.0ms (2.4%)

simplify167.0ms (1.9%)

prune300.0ms (3.4%)

localize21.0ms (0.2%)

rewrite207.0ms (2.3%)

series212.0ms (2.4%)

simplify196.0ms (2.2%)

prune652.0ms (7.3%)

regimes572.0ms (6.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.4s (27.3%)

Profiling