Details

analyze874.0ms (10.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample111.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	354×	body	128	nan
24.0ms	243×	body	128	valid
16.0ms	183×	body	128	invalid
3.0ms	8×	body	512	valid
2.0ms	3×	body	1024	valid
2.0ms	5×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5038	26

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: 0.7b

Counts

2 → 2

Compiler

Compiled 87 to 82 computations (5.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
5.2b	(log.f64 (-.f64 1 z))

rewrite60.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
30×	`log-prod_binary64`
24×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
21×	`add-cube-cbrt_binary64`
20×	`associate-+r+_binary64`
18×	`cancel-sign-sub-inv_binary64`
14×	`associate-+l+_binary64`
10×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64`
6×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
5×	`distribute-lft-out--_binary64`
4×	`frac-add_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `exp-sum_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 122

Calls

4 calls:

16.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
13.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

series837.0ms (10%)

Counts

4 → 12

Calls

4 calls:

445.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
271.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
97.0ms	(*.f64 y (-.f64 (log.f64 z) t))
24.0ms	(log.f64 (-.f64 1 z))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4955	2933
1	4955	2933

prune189.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	133	3	136

Merged error: 0b

Counts

136 → 3

Compiler

Compiled 4093 to 2208 computations (46.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 1/3 z) 1/2))) b))
0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.4b	(*.f64 1/3 z)

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
17×	`associate-r_binary64` `add-cube-cbrt_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64`
10×	`associate-l_binary64` `associate--l+_binary64`
6×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `associate-*r/_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
3×	`distribute-lft-out--_binary64`
2×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `flip-+_binary64`

Counts

4 → 112

Calls

4 calls:

12.0ms	(.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 1/3 z) 1/2))) b))
11.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 1/3 z)

series417.0ms (5%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (.f64 1/3 z) 1/2))) b))
114.0ms	(*.f64 y (-.f64 (log.f64 z) t))
93.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
21.0ms	(*.f64 1/3 z)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4935	1938
1	4935	1938

prune158.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Merged error: 0b

Counts

127 → 4

Compiler

Compiled 4041 to 1997 computations (50.6% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) b))))
0.0b	(-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 (.f64 (.f64 z z) 1/2) b)))
0.0b	(.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) b))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
14×	`associate-+l+_binary64` `cancel-sign-sub-inv_binary64`
12×	`log-prod_binary64` `associate--l+_binary64`
11×	`add-log-exp_binary64`
9×	`pow1_binary64` `associate-r_binary64`
8×	`associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sub-neg_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
4×	`frac-add_binary64`
3×	`distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate--r+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `associate-+r+_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`associate-+r-_binary64` `log-pow_binary64` `difference-of-squares_binary64` `+-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) b))))
10.0ms	(.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) b))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 (.f64 (.f64 z z) 1/2) b)))

series607.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) b))))
123.0ms	(*.f64 y (-.f64 (log.f64 z) t))
107.0ms	(.f64 a (+.f64 (.f64 (*.f64 z z) 1/2) b))
83.0ms	(-.f64 (.f64 a (neg.f64 z)) (.f64 a (+.f64 (.f64 (.f64 z z) 1/2) b)))

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4992	2728
1	4992	2728

prune171.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0b

Counts

123 → 5

Compiler

Compiled 4275 to 1982 computations (53.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 -1 (.f64 z 1/2)))
0.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z 1/2))) b)))
0.0b	(.f64 a (-.f64 (.f64 z (-.f64 -1 (*.f64 z 1/2))) b))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))

rewrite62.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
34×	`cancel-sign-sub-inv_binary64`
30×	`add-sqr-sqrt_binary64`
28×	`associate--l+_binary64`
25×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
18×	`sub-neg_binary64`
16×	`associate-+r+_binary64`
14×	`associate-*r/_binary64` `associate-+l+_binary64`
12×	`associate-r_binary64` `log-prod_binary64`
11×	`pow1_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
4×	`frac-add_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 142

Calls

4 calls:

18.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z 1/2))) b)))
11.0ms	(.f64 a (-.f64 (.f64 z (-.f64 -1 (*.f64 z 1/2))) b))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
7.0ms	(.f64 z (-.f64 -1 (.f64 z 1/2)))

series565.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

289.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z 1/2))) b)))
100.0ms	(*.f64 y (-.f64 (log.f64 z) t))
90.0ms	(.f64 z (-.f64 -1 (.f64 z 1/2)))
85.0ms	(.f64 a (-.f64 (.f64 z (-.f64 -1 (*.f64 z 1/2))) b))

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4995	3193
1	4995	3193

prune174.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	154	5	159

Merged error: 0b

Counts

159 → 5

Compiler

Compiled 4292 to 2105 computations (51% saved)

regimes148.0ms (1.8%)

Compiler: Compiled 1074 to 966 computations (10.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	32
1	67	32

end0.0ms (0%)

sample3.5s (41.4%)

Algorithm

1×

intervals

Results

938.0ms	10507×	body	128	nan
675.0ms	7358×	body	128	valid
484.0ms	5339×	body	128	invalid
95.0ms	287×	body	512	valid
77.0ms	121×	body	1024	valid
46.0ms	234×	body	256	valid
44.0ms	135×	body	512	invalid
35.0ms	57×	body	1024	invalid
25.0ms	131×	body	256	invalid

Compiler

Compiled 165 to 147 computations (10.9% saved)

Details

analyze874.0ms (10.5%)

sample111.0ms (1.3%)

simplify59.0ms (0.7%)

prune6.0ms (0.1%)

localize16.0ms (0.2%)

rewrite60.0ms (0.7%)

series837.0ms (10%)

simplify57.0ms (0.7%)

prune189.0ms (2.3%)

localize20.0ms (0.2%)

rewrite51.0ms (0.6%)

series417.0ms (5%)

simplify65.0ms (0.8%)

prune158.0ms (1.9%)

localize22.0ms (0.3%)

rewrite51.0ms (0.6%)

series607.0ms (7.3%)

simplify76.0ms (0.9%)

prune171.0ms (2%)

localize17.0ms (0.2%)

rewrite62.0ms (0.7%)

series565.0ms (6.8%)

simplify76.0ms (0.9%)

prune174.0ms (2.1%)

regimes148.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (41.4%)

Profiling