Details

analyze876.0ms (13.5%)

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)

sample104.0ms (1.6%)

Algorithm

1×

intervals

Results

27.0ms	312×	body	80	nan
17.0ms	220×	body	80	valid
12.0ms	156×	body	80	invalid
6.0ms	15×	body	640	valid
3.0ms	7×	body	640	invalid
2.0ms	3×	body	1280	valid
2.0ms	9×	body	320	valid
2.0ms	2×	body	1280	invalid
1.0ms	9×	body	160	valid
1.0ms	2×	body	320	invalid
0.0ms	3×	body	160	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5019	26

prune11.0ms (0.2%)

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: 1.6b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
0.1b	(exp.f64 (+.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))
5.4b	(log.f64 (-.f64 1 z))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

series105.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
35.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
3.0ms	(log.f64 (-.f64 1 z))

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5021	2359

prune103.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Merged error: 0.1b

Counts

112 → 3

Compiler

Compiled 2942 to 1474 computations (49.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`add-log-exp_binary64` `associate-l_binary64`
6×	`log-prod_binary64` `associate--l+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64`
3×	`unswap-sqr_binary64` `exp-prod_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `rem-exp-log_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `log-pow_binary64` `exp-sum_binary64` `difference-of-squares_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 85

Calls

4 calls:

14.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
10.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(*.f64 z 1/3)

series98.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
7.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
2.0ms	(*.f64 z 1/3)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4996	1485
1	4996	1485

prune99.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	96	4	100

Merged error: 0.1b

Counts

100 → 4

Compiler

Compiled 3171 to 1551 computations (51.1% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.4b	(*.f64 z 1/3)
0.4b	(*.f64 z 1/3)

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
6.0ms	(*.f64 z 1/3)
4.0ms	(*.f64 z 1/3)

series32.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 y (-.f64 (log.f64 z) t))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
2.0ms	(*.f64 z 1/3)
2.0ms	(*.f64 z 1/3)

simplify118.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4946	1100
1	4946	1100

prune178.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Merged error: 0.1b

Counts

114 → 3

Compiler

Compiled 6189 to 3404 computations (45% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.2b	(*.f64 (log.f64 z) y)
0.4b	(*.f64 z 1/3)
0.4b	(*.f64 z 1/3)

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(*.f64 (log.f64 z) y)
4.0ms	(*.f64 z 1/3)
4.0ms	(*.f64 z 1/3)

series26.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
9.0ms	(*.f64 (log.f64 z) y)
2.0ms	(*.f64 z 1/3)
2.0ms	(*.f64 z 1/3)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4971	855
1	4971	855

prune138.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0.1b

Counts

101 → 3

Compiler

Compiled 5671 to 3002 computations (47.1% saved)

regimes380.0ms (5.9%)

Compiler: Compiled 749 to 690 computations (7.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	128	82
1	128	82

end0.0ms (0%)

sample3.6s (56%)

Algorithm

1×

intervals

Results

864.0ms	10761×	body	80	nan
588.0ms	7234×	body	80	valid
432.0ms	5359×	body	80	invalid
121.0ms	290×	body	640	valid
69.0ms	256×	body	320	valid
56.0ms	129×	body	640	invalid
44.0ms	53×	body	1280	valid
28.0ms	111×	body	320	invalid
28.0ms	167×	body	160	valid
16.0ms	98×	body	160	invalid
12.0ms	16×	body	1280	invalid

Compiler

Compiled 173 to 148 computations (14.5% saved)

Details

analyze876.0ms (13.5%)

sample104.0ms (1.6%)

simplify97.0ms (1.5%)

prune11.0ms (0.2%)

localize17.0ms (0.3%)

rewrite40.0ms (0.6%)

series105.0ms (1.6%)

simplify87.0ms (1.3%)

prune103.0ms (1.6%)

localize19.0ms (0.3%)

rewrite39.0ms (0.6%)

series98.0ms (1.5%)

simplify80.0ms (1.2%)

prune99.0ms (1.5%)

localize22.0ms (0.3%)

rewrite30.0ms (0.5%)

series32.0ms (0.5%)

simplify118.0ms (1.8%)

prune178.0ms (2.7%)

localize33.0ms (0.5%)

rewrite24.0ms (0.4%)

series26.0ms (0.4%)

simplify93.0ms (1.4%)

prune138.0ms (2.1%)

regimes380.0ms (5.9%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.6s (56%)

Profiling