Details

analyze343.0ms (9.7%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample51.0ms (1.4%)

Algorithm

1×

intervals

Results

18.0ms	194×	body	128	valid
9.0ms	17×	body	1024	valid
9.0ms	32×	body	512	valid
2.0ms	13×	body	256	valid
1.0ms	12×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify220.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5003	26

prune3.0ms (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

Error

6.7b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
5.5b	(log.f64 (-.f64 1 y))

rewrite49.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_782`
30×	`log-prod_binary64_846`
28×	`*-un-lft-identity_binary64_760`
14×	`add-cube-cbrt_binary64_795`
12×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-+r+_binary64_692`
11×	`add-log-exp_binary64_799`
10×	`associate-*l/_binary64_703`
9×	`difference-of-squares_binary64_729`
8×	`pow1_binary64_821`
7×	`add-exp-log_binary64_798` `associate-l_binary64_701` `flip--_binary64_735` `flip3--_binary64_764`
6×	`associate-+l+_binary64_693` `add-cbrt-cube_binary64_796`
5×	`distribute-lft-out--_binary64_712`
4×	`frac-add_binary64_768` `associate-r_binary64_700`
3×	`cancel-sign-sub-inv_binary64_726`
2×	`diff-log_binary64_852` `log-div_binary64_847` `log-pow_binary64_849` `sum-log_binary64_851`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `flip3-+_binary64_763` `flip-+_binary64_734` `difference-of-sqr-1_binary64_730` `+-commutative_binary64_690` `rem-log-exp_binary64_801` `cbrt-unprod_binary64_793` `associate--l+_binary64_697` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 99

Calls

4 calls:

16.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series1.6s (44.8%)

Counts

4 → 56

Calls

4 calls:

837.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
565.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
152.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
25.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1682 to 1449 computations (13.9% saved)

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5261	3266

prune214.0ms (6.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	6	156

Error

0.0b

Counts

156 → 6

Compiler

Compiled 3606 to 2310 computations (35.9% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 1/3 y)
0.3b	(*.f64 1/3 y)
7.4b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_782`
20×	`pow1_binary64_821`
19×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
16×	`-un-lft-identity_binary64_760` `associate-l*_binary64_701`
13×	`add-cube-cbrt_binary64_795`
11×	`associate-r_binary64_700`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
7×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
6×	`log-prod_binary64_846`
4×	`add-log-exp_binary64_799` `associate-r/_binary64_702` `-commutative_binary64_691`
3×	`unswap-sqr_binary64_728`
2×	`associate-*l/_binary64_703` `difference-of-squares_binary64_729`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `difference-of-sqr-1_binary64_730` `log-pow_binary64_849` `distribute-lft-out--_binary64_712` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 94

Calls

4 calls:

12.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)
4.0ms	(*.f64 1/3 y)

series467.0ms (13.3%)

Counts

4 → 24

Calls

4 calls:

298.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
132.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
19.0ms	(*.f64 1/3 y)
18.0ms	(*.f64 1/3 y)

Compiler

Compiled 1546 to 1142 computations (26.1% saved)

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4979	1347
1	4979	1347

prune199.0ms (5.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Error

0.0b

Counts

124 → 7

Compiler

Compiled 4891 to 2610 computations (46.6% saved)

localize27.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 1/3 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
7.4b	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
11×	`add-sqr-sqrt_binary64_782`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
7×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
6×	`associate-l_binary64_701` `cbrt-prod_binary64_791`
4×	`distribute-lft-in_binary64_709` `add-log-exp_binary64_799` `distribute-rgt-in_binary64_710` `associate-r_binary64_700` `associate-*r/_binary64_702`
2×	`pow1/3_binary64_842` `*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 67

Calls

4 calls:

10.0ms	(.f64 z (.f64 (.f64 y y) (+.f64 1/2 (.f64 1/3 y))))
4.0ms	(*.f64 1/3 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series158.0ms (4.5%)

Calls

1 calls:

155.0ms

(*.f64 z (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))

Compiler

Compiled 769 to 574 computations (25.4% saved)

Details

analyze343.0ms (9.7%)

sample51.0ms (1.4%)

simplify220.0ms (6.2%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite49.0ms (1.4%)

series1.6s (44.8%)

simplify62.0ms (1.8%)

prune214.0ms (6.1%)

localize18.0ms (0.5%)

rewrite38.0ms (1.1%)

series467.0ms (13.3%)

simplify57.0ms (1.6%)

prune199.0ms (5.7%)

localize27.0ms (0.8%)

rewrite25.0ms (0.7%)

series158.0ms (4.5%)

end0.0ms (0%)

Profiling