Details

analyze1.1s (23.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4800	143
1	4800	143
0	5	5
1	5	5

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%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	89×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	551	13
1	551	13

prune2.0ms (0%)

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

6.7b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
6.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_22606` `*-un-lft-identity_binary64_22584` `add-cube-cbrt_binary64_22619`
9×	`times-frac_binary64_22590`
4×	`add-cbrt-cube_binary64_22620` `add-log-exp_binary64_22623` `add-exp-log_binary64_22622`
3×	`associate-/l_binary64_22529` `associate-/r_binary64_22528`
2×	`associate-/l/_binary64_22531` `pow1_binary64_22645` `flip--_binary64_22559` `flip3--_binary64_22588`
1×	`sub-neg_binary64_22577` `cbrt-undiv_binary64_22618` `div-exp_binary64_22635` `div-inv_binary64_22581` `diff-log_binary64_22676` `clear-num_binary64_22583` `cancel-sign-sub-inv_binary64_22550` `div-sub_binary64_22589` `frac-2neg_binary64_22595`

Counts

2 → 42

Calls

2 calls:

12.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series95.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
40.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5564	868

prune52.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Error

6.4b

Counts

49 → 9

Compiler

Compiled 905 to 222 computations (75.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
6.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_22606`
13×	`associate-r_binary64_22524`
11×	`*-un-lft-identity_binary64_22584` `times-frac_binary64_22590` `add-exp-log_binary64_22622`
10×	`add-cube-cbrt_binary64_22619`
7×	`add-cbrt-cube_binary64_22620`
4×	`prod-exp_binary64_22633` `add-log-exp_binary64_22623` `pow1_binary64_22645`
3×	`associate-l_binary64_22525` `flip--_binary64_22559` `unswap-sqr_binary64_22552` `flip3--_binary64_22588`
2×	`div-exp_binary64_22635` `cbrt-unprod_binary64_22617` `frac-times_binary64_22594` `associate-*l/_binary64_22527`
1×	`associate-r/_binary64_22526` `sub-neg_binary64_22577` `cbrt-undiv_binary64_22618` `div-inv_binary64_22581` `diff-log_binary64_22676` `1-exp_binary64_22628` `cancel-sign-sub-inv_binary64_22550` `-commutative_binary64_22515` `rec-exp_binary64_22634` `pow-prod-down_binary64_22655` `un-div-inv_binary64_22582`

Counts

2 → 52

Calls

2 calls:

10.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series101.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
42.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5228	979

prune49.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	58	9	67

Error

6.4b

Counts

67 → 9

Compiler

Compiled 1076 to 329 computations (69.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.4b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
6.4b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_22590`
55×	`add-sqr-sqrt_binary64_22606` `*-un-lft-identity_binary64_22584` `add-cube-cbrt_binary64_22619`
18×	`associate-/r*_binary64_22528`
16×	`add-exp-log_binary64_22622`
11×	`associate-/r/_binary64_22530`
10×	`add-cbrt-cube_binary64_22620`
8×	`div-exp_binary64_22635`
6×	`associate-/l*_binary64_22529` `div-inv_binary64_22581` `flip--_binary64_22559` `flip3--_binary64_22588`
5×	`add-log-exp_binary64_22623`
4×	`cbrt-undiv_binary64_22618` `pow1_binary64_22645`
2×	`clear-num_binary64_22583` `1-exp_binary64_22628` `frac-2neg_binary64_22595` `rec-exp_binary64_22634`
1×	`sub-neg_binary64_22577` `diff-log_binary64_22676` `pow-flip_binary64_22658` `cancel-sign-sub-inv_binary64_22550` `inv-pow_binary64_22669`

Counts

3 → 125

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
5.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series194.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
65.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
42.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify89.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5274	3194

prune104.0ms (2.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	134	9	143

Error

6.4b

Counts

143 → 9

Compiler

Compiled 2810 to 633 computations (77.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a))
7.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
7.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
7.3b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_22616`
25×	`add-sqr-sqrt_binary64_22606`
22×	`associate-r_binary64_22524`
20×	`*-un-lft-identity_binary64_22584` `times-frac_binary64_22590` `add-cube-cbrt_binary64_22619`
19×	`cbrt-prod_binary64_22615`
16×	`frac-times_binary64_22594` `add-exp-log_binary64_22622`
15×	`flip--_binary64_22559` `flip3--_binary64_22588`
12×	`associate-*l/_binary64_22527`
10×	`add-cbrt-cube_binary64_22620`
9×	`pow1_binary64_22645`
6×	`cbrt-unprod_binary64_22617` `prod-exp_binary64_22633`
5×	`associate-*r/_binary64_22526`
4×	`add-log-exp_binary64_22623`
3×	`pow1/3_binary64_22666` `pow-prod-down_binary64_22655` `unswap-sqr_binary64_22552`
2×	`cbrt-undiv_binary64_22618` `div-exp_binary64_22635`
1×	`div-inv_binary64_22581` `associate-l_binary64_22525` `*-commutative_binary64_22515`

Counts

4 → 100

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

series494.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
145.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
133.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
69.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) a))

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5313	3210

prune104.0ms (2.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	112	9	121

Error

6.4b

Counts

121 → 9

Compiler

Compiled 3766 to 653 computations (82.7% saved)

regimes489.0ms (10.7%)

Accuracy

Total 0.4b remaining (4.5%)

Threshold costs 0.4b (4.5%)

Compiler

Compiled 5210 to 3717 computations (28.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

Compiler

Compiled 44 to 40 computations (9.1% saved)

end0.0ms (0%)

sample1.3s (28.3%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
117.0ms	2987×	body	128	invalid

Compiler

Compiled 571 to 401 computations (29.8% saved)

Details

analyze1.1s (23.4%)

sample27.0ms (0.6%)

simplify38.0ms (0.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite18.0ms (0.4%)

series95.0ms (2.1%)

simplify59.0ms (1.3%)

prune52.0ms (1.1%)

localize8.0ms (0.2%)

rewrite18.0ms (0.4%)

series101.0ms (2.2%)

simplify58.0ms (1.3%)

prune49.0ms (1.1%)

localize8.0ms (0.2%)

rewrite29.0ms (0.6%)

series194.0ms (4.2%)

simplify89.0ms (1.9%)

prune104.0ms (2.3%)

localize11.0ms (0.2%)

rewrite47.0ms (1%)

series494.0ms (10.8%)

simplify92.0ms (2%)

prune104.0ms (2.3%)

regimes489.0ms (10.7%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.3s (28.3%)

Profiling