Details

analyze268.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	249×	body	128	valid
11.0ms	281×	pre	128	true
1.0ms	25×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify301.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (294.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune6.0ms (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: 27.3b

Counts

2 → 2

Compiler

Compiled 82 to 67 computations (18.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
27.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-log-exp_binary64`
9×	`pow1_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/l*_binary64` `times-frac_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `distribute-rgt-neg-in_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `associate-+l-_binary64` `div-exp_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64` `div-sub_binary64` `clear-num_binary64` `neg-log_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
10.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
9.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series449.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
139.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
67.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
32.0ms	(.f64 (.f64 3 a) c)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5037	1664

prune357.0ms (5.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Merged error: 0.4b

Counts

87 → 6

Compiler

Compiled 3169 to 2048 computations (35.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
0.3b	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))

rewrite75.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
34×	`times-frac_binary64`
32×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
14×	`associate-/l*_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r*_binary64` `sqrt-prod_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`associate-/r/_binary64`
5×	`flip3--_binary64` `distribute-rgt-neg-in_binary64` `flip--_binary64`
4×	`pow1_binary64` `div-inv_binary64`
3×	`diff-log_binary64`
2×	`sub-neg_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `associate--l-_binary64` `neg-sub0_binary64` `neg-log_binary64`

Counts

4 → 122

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
16.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series901.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

394.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
307.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
134.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
66.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4951	3871
1	4951	3871

prune631.0ms (9.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	124	10	134
Fresh	4	0	4
Picked	1	0	1
Done	1	0	1
Total	130	10	140

Merged error: 0.0b

Counts

140 → 10

Compiler

Compiled 13316 to 8898 computations (33.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
0.3b	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
0.3b	(/.f64 (.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))))

rewrite78.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
33×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
27×	`associate-r_binary64`
23×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
16×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`add-log-exp_binary64`
9×	`pow1_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cancel-sign-sub-inv_binary64` `sqrt-prod_binary64`
4×	`distribute-rgt-neg-in_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `div-inv_binary64`
1×	`associate-/l/_binary64` `associate-/r_binary64` `associate--l-_binary64` `neg-sub0_binary64` `associate-l_binary64` `clear-num_binary64` `neg-log_binary64` `frac-2neg_binary64` `associate-/l_binary64` `*-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

22.0ms	(.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))))
21.0ms	(/.f64 (.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) (.f64 3 a))
12.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series906.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

405.0ms	(.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))))
305.0ms	(/.f64 (.f64 (.f64 3 a) (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a))))))) (.f64 3 a))
126.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
69.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4933	3189
1	4933	3189

prune202.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

Compiler

Compiled 4522 to 2689 computations (40.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 c (.f64 3 a))
0.2b	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))
0.3b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
0.3b	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
28×	`associate-r_binary64`
22×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`add-log-exp_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cancel-sign-sub-inv_binary64` `sqrt-prod_binary64`
6×	`associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `distribute-rgt-neg-in_binary64`
3×	`flip3--_binary64` `diff-log_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `neg-log_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 99

Calls

4 calls:

22.0ms	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))
12.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
6.0ms	(.f64 c (.f64 3 a))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series629.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(.f64 a (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))))
142.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
67.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
30.0ms	(.f64 c (.f64 3 a))

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5021	2337

prune209.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	113	8	121

Merged error: 0b

Counts

121 → 8

Compiler

Compiled 4699 to 2725 computations (42% saved)

regimes92.0ms (1.3%)

Compiler: Compiled 1004 to 732 computations (27.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	35
1	82	35

end0.0ms (0%)

sample1.2s (17.6%)

Algorithm

1×

intervals

Results

396.0ms	7656×	body	128	valid
274.0ms	8939×	pre	128	true
45.0ms	939×	body	128	nan
41.0ms	344×	body	256	valid

Compiler

Compiled 301 to 221 computations (26.6% saved)

Details

analyze268.0ms (3.9%)

sample35.0ms (0.5%)

simplify301.0ms (4.4%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite47.0ms (0.7%)

series449.0ms (6.6%)

simplify59.0ms (0.9%)

prune357.0ms (5.2%)

localize12.0ms (0.2%)

rewrite75.0ms (1.1%)

series901.0ms (13.2%)

simplify86.0ms (1.3%)

prune631.0ms (9.3%)

localize16.0ms (0.2%)

rewrite78.0ms (1.1%)

series906.0ms (13.3%)

simplify103.0ms (1.5%)

prune202.0ms (3%)

localize16.0ms (0.2%)

rewrite58.0ms (0.9%)

series629.0ms (9.2%)

simplify64.0ms (0.9%)

prune209.0ms (3.1%)

regimes92.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (17.6%)

Profiling