Details

analyze885.0ms (18.9%)

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%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
3.0ms	47×	body	80	invalid
1.0ms	28×	body	80	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify394.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (380.0ms)

Iter	Nodes	Cost
0	3702	24
1	3702	24

prune7.0ms (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 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

series25.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 z (log.f64 t))
5.0ms	(*.f64 (-.f64 a 1/2) b)

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4974	966
1	4974	966

prune67.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

Compiler

Compiled 1688 to 628 computations (62.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.3b	(-.f64 z (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sum-log_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-+r-_binary64` `log-pow_binary64` `associate-+l+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))

series237.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(*.f64 (-.f64 a 1/2) b)
12.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
8.0ms	(-.f64 z (*.f64 z (log.f64 t)))
7.0ms	(*.f64 z (log.f64 t))

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4800	1461
1	4800	1461

prune70.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

Compiler

Compiled 2263 to 816 computations (63.9% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 96

Calls

4 calls:

7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series77.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
22.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5308	1362

prune92.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

Compiler

Compiled 3276 to 1373 computations (58.1% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 (log.f64 t) 2/3))
0.4b	(*.f64 (log.f64 t) 2/3)
0.6b	(cbrt.f64 t)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cbrt-prod_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`log-pow_binary64` `*-commutative_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64`

Counts

4 → 80

Calls

4 calls:

7.0ms	(*.f64 (log.f64 t) 2/3)
6.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)

series52.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
15.0ms	(cbrt.f64 t)
9.0ms	(*.f64 (log.f64 t) 2/3)
8.0ms	(.f64 z (.f64 (log.f64 t) 2/3))

simplify89.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5069	920

prune66.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

Compiler

Compiled 2561 to 1100 computations (57% saved)

regimes549.0ms (11.7%)

Compiler: Compiled 958 to 854 computations (10.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	24
1	55	24

end0.0ms (0%)

sample1.6s (34.5%)

Algorithm

1×

intervals

Results

469.0ms	7995×	body	80	valid
75.0ms	1222×	body	80	invalid
60.0ms	1181×	body	80	nan
1.0ms	1×	body	2560	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid

Compiler

Compiled 148 to 130 computations (12.2% saved)

Details

analyze885.0ms (18.9%)

sample35.0ms (0.7%)

simplify394.0ms (8.4%)

prune7.0ms (0.1%)

localize13.0ms (0.3%)

rewrite24.0ms (0.5%)

series25.0ms (0.5%)

simplify93.0ms (2%)

prune67.0ms (1.4%)

localize12.0ms (0.3%)

rewrite29.0ms (0.6%)

series237.0ms (5.1%)

simplify92.0ms (2%)

prune70.0ms (1.5%)

localize20.0ms (0.4%)

rewrite19.0ms (0.4%)

series77.0ms (1.6%)

simplify69.0ms (1.5%)

prune92.0ms (2%)

localize19.0ms (0.4%)

rewrite22.0ms (0.5%)

series52.0ms (1.1%)

simplify89.0ms (1.9%)

prune66.0ms (1.4%)

regimes549.0ms (11.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (34.5%)

Profiling