Details

analyze510.0ms (5.1%)

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%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample50.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
10.0ms	145×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify316.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	1362	25
1	1362	25

prune5.0ms (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: 0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_8262`
19×	`log-prod_binary64_8348`
16×	`add-sqr-sqrt_binary64_8284`
12×	`add-cube-cbrt_binary64_8297`
10×	`pow1_binary64_8323` `add-log-exp_binary64_8301`
9×	`associate-+r+_binary64_8194` `associate-+l+_binary64_8195`
6×	`distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211` `associate-*l/_binary64_8205`
5×	`flip3--_binary64_8266` `distribute-lft-out_binary64_8213` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `log-pow_binary64_8351` `associate-l_binary64_8203` `sum-log_binary64_8353` `flip--_binary64_8237`
4×	`frac-add_binary64_8270` `associate-r_binary64_8202`
3×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `associate-+l-_binary64_8197` `cancel-sign-sub-inv_binary64_8228`
2×	`log-div_binary64_8349` `+-commutative_binary64_8192` `diff-log_binary64_8354`
1×	`prod-exp_binary64_8311` `associate--l+_binary64_8199` `unswap-sqr_binary64_8230` `sub-neg_binary64_8255` `distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `*-commutative_binary64_8193`

Counts

3 → 82

Calls

3 calls:

23.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series747.0ms (7.4%)

Counts

3 → 9

Calls

3 calls:

531.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
124.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
92.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5379	1999

prune160.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	80	11	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

Compiler

Compiled 2446 to 1046 computations (57.2% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (+.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.4b	(+.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z)))

rewrite85.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_8262`
28×	`log-prod_binary64_8348`
24×	`pow1_binary64_8323`
23×	`distribute-lft-out_binary64_8213`
20×	`add-sqr-sqrt_binary64_8284`
18×	`log-pow_binary64_8351` `associate-+r+_binary64_8194`
16×	`add-cube-cbrt_binary64_8297`
15×	`add-log-exp_binary64_8301`
11×	`sum-log_binary64_8353`
10×	`associate-+l+_binary64_8195`
7×	`associate-+l-_binary64_8197`
6×	`distribute-rgt-in_binary64_8212` `sqrt-prod_binary64_8278` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `distribute-lft-in_binary64_8211` `associate-*l/_binary64_8205`
5×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `flip3--_binary64_8266` `associate-l_binary64_8203` `flip--_binary64_8237`
4×	`frac-add_binary64_8270` `log-div_binary64_8349` `associate-r_binary64_8202`
3×	`+-commutative_binary64_8192` `diff-log_binary64_8354` `cancel-sign-sub-inv_binary64_8228`
1×	`prod-exp_binary64_8311` `associate--l+_binary64_8199` `unswap-sqr_binary64_8230` `sub-neg_binary64_8255` `distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `*-commutative_binary64_8193`

Counts

4 → 117

Calls

4 calls:

31.0ms	(+.f64 (-.f64 (+.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
19.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z)))
14.0ms	(+.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series1.0s (10.1%)

Counts

4 → 12

Calls

4 calls:

468.0ms	(+.f64 (-.f64 (+.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z))) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
228.0ms	(+.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
217.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 (sqrt.f64 z)))
101.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4952	3092
1	4952	3092

prune187.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	129	11	140

Merged error: 0.0b

Counts

140 → 11

Compiler

Compiled 3883 to 1600 computations (58.8% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.2b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))

rewrite89.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_8262`
25×	`log-prod_binary64_8348`
20×	`add-sqr-sqrt_binary64_8284`
16×	`add-cube-cbrt_binary64_8297`
13×	`pow1_binary64_8323` `distribute-lft-out_binary64_8213` `add-log-exp_binary64_8301`
12×	`associate--l+_binary64_8199`
11×	`associate-+r+_binary64_8194`
9×	`distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211`
7×	`log-pow_binary64_8351` `sum-log_binary64_8353` `associate-+l+_binary64_8195`
6×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `cancel-sign-sub-inv_binary64_8228`
5×	`associate-l_binary64_8203`
4×	`associate-r_binary64_8202`
3×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `associate-+r-_binary64_8196` `diff-log_binary64_8354`
2×	`log-div_binary64_8349` `flip3--_binary64_8266` `+-commutative_binary64_8192` `sub-neg_binary64_8255` `associate-*l/_binary64_8205` `flip--_binary64_8237` `associate-+l-_binary64_8197`
1×	`prod-exp_binary64_8311` `unswap-sqr_binary64_8230` `distribute-lft-out--_binary64_8214` `difference-of-squares_binary64_8231` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `*-commutative_binary64_8193`

Counts

4 → 104

Calls

4 calls:

23.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
16.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
16.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)
14.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series803.0ms (8%)

Counts

4 → 12

Calls

4 calls:

435.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
166.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
125.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
76.0ms	(-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5120	2313

prune139.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	116	11	127

Merged error: 0.0b

Counts

127 → 11

Compiler

Compiled 2844 to 1395 computations (50.9% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.5b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite50.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`log-prod_binary64_8348`
30×	`distribute-rgt-in_binary64_8212` `distribute-lft-in_binary64_8211`
28×	`associate-+l+_binary64_8195`
26×	`*-un-lft-identity_binary64_8262`
24×	`cbrt-prod_binary64_8293`
20×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297`
15×	`associate-+r+_binary64_8194`
8×	`pow1_binary64_8323` `associate-*l/_binary64_8205`
6×	`distribute-lft-out_binary64_8213` `add-log-exp_binary64_8301`
4×	`frac-add_binary64_8270` `flip3--_binary64_8266` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `log-pow_binary64_8351` `flip--_binary64_8237`
3×	`flip-+_binary64_8236` `flip3-+_binary64_8265`
2×	`log-div_binary64_8349` `+-commutative_binary64_8192` `sum-log_binary64_8353` `pow1/3_binary64_8344` `associate-+l-_binary64_8197`

Counts

4 → 98

Calls

4 calls:

20.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series764.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

286.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
167.0ms	(cbrt.f64 t)
165.0ms	(cbrt.f64 t)
145.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5862	1664

prune166.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	7	1	8
Picked	1	0	1
Done	0	2	2
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

Compiler

Compiled 3427 to 1464 computations (57.3% saved)

regimes1.5s (15%)

Compiler: Compiled 12927 to 10752 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	37
1	44	37

end0.0ms (0%)

sample3.1s (30.3%)

Algorithm

1×

intervals

Results

875.0ms	8000×	body	128	valid
404.0ms	4267×	body	128	nan
4.0ms	36×	body	128	invalid

Compiler

Compiled 1077 to 897 computations (16.7% saved)

Details

analyze510.0ms (5.1%)

sample50.0ms (0.5%)

simplify316.0ms (3.1%)

prune5.0ms (0.1%)

localize28.0ms (0.3%)

rewrite48.0ms (0.5%)

series747.0ms (7.4%)

simplify54.0ms (0.5%)

prune160.0ms (1.6%)

localize36.0ms (0.4%)

rewrite85.0ms (0.8%)

series1.0s (10.1%)

simplify94.0ms (0.9%)

prune187.0ms (1.9%)

localize31.0ms (0.3%)

rewrite89.0ms (0.9%)

series803.0ms (8%)

simplify51.0ms (0.5%)

prune139.0ms (1.4%)

localize29.0ms (0.3%)

rewrite50.0ms (0.5%)

series764.0ms (7.6%)

simplify64.0ms (0.6%)

prune166.0ms (1.6%)

regimes1.5s (15%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (30.3%)

Profiling