Details

analyze373.0ms (20.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	264	40
1	264	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	104	10
1	104	10

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_1101`
6×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
5×	`add-sqr-sqrt_binary64_1123`
4×	`frac-times_binary64_1111` `associate-r_binary64_1041` `associate-l_binary64_1042`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137`
2×	`distribute-lft-out_binary64_1052` `associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

series26.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

simplify69.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4963	502
1	4963	502

prune31.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 470 to 236 computations (49.8% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
0.0b	(*.f64 (+.f64 x y) z)

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_1140`
6×	`add-sqr-sqrt_binary64_1123` `-un-lft-identity_binary64_1101` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-l/_binary64_1044`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042` `frac-add_binary64_1109`
3×	`sum-log_binary64_1192` `associate-r_binary64_1041`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `associate-+r+_binary64_1033` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

2 → 38

Calls

2 calls:

10.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
6.0ms	(*.f64 (+.f64 x y) z)

series57.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
24.0ms	(*.f64 (+.f64 x y) z)

simplify69.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5041	674

prune31.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 680 to 216 computations (68.2% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
2.7b	(exp.f64 (log.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`flip3-+_binary64_1104` `flip-+_binary64_1075`
9×	`*-un-lft-identity_binary64_1101`
8×	`frac-times_binary64_1111` `exp-diff_binary64_1149` `log-div_binary64_1188`
7×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162`
5×	`exp-prod_binary64_1153` `add-cube-cbrt_binary64_1136`
4×	`add-exp-log_binary64_1139` `associate-r/_binary64_1043` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l_binary64_1042` `associate-l/_binary64_1044`
2×	`add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `pow-prod-down_binary64_1172` `log-pow_binary64_1190`
1×	`*-commutative_binary64_1032` `exp-sum_binary64_1147` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `rem-exp-log_binary64_1141` `distribute-lft-in_binary64_1050` `log-prod_binary64_1187` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051`

Counts

2 → 52

Calls

2 calls:

9.0ms	(exp.f64 (log.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))
9.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))

series221.0ms (12.3%)

Counts

2 → 6

Calls

2 calls:

194.0ms	(exp.f64 (log.f64 (*.f64 (+.f64 x y) (+.f64 z 1))))
27.0ms	(*.f64 (+.f64 x y) (+.f64 z 1))

simplify69.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5013	919

prune46.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Error

Counts

61 → 3

Compiler

Compiled 890 to 463 computations (48% saved)

regimes109.0ms (6.1%)

Accuracy

Total 0.0b remaining (75.7%)

Threshold costs 0.0b (75.7%)

Compiler

Compiled 728 to 620 computations (14.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample593.0ms (33%)

Algorithm

1×

intervals

Results

196.0ms	7997×	body	128	valid
13.0ms	562×	body	128	invalid
0.0ms	3×	body	1024	valid

Compiler

Compiled 131 to 113 computations (13.7% saved)

Details

analyze373.0ms (20.7%)

sample16.0ms (0.9%)

simplify9.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite11.0ms (0.6%)

series26.0ms (1.5%)

simplify69.0ms (3.9%)

prune31.0ms (1.7%)

localize5.0ms (0.3%)

rewrite19.0ms (1%)

series57.0ms (3.2%)

simplify69.0ms (3.9%)

prune31.0ms (1.7%)

localize8.0ms (0.4%)

rewrite24.0ms (1.3%)

series221.0ms (12.3%)

simplify69.0ms (3.8%)

prune46.0ms (2.6%)

regimes109.0ms (6.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample593.0ms (33%)

Profiling