Details

analyze769.0ms (21%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	76
1	4978	76
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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	97×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune4.0ms (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

13.2b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
0.9b	(-.f64 (.f64 z z) (.f64 x x))
13.1b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_17832`
15×	`*-un-lft-identity_binary64_17810`
13×	`add-cube-cbrt_binary64_17845` `times-frac_binary64_17816`
7×	`difference-of-squares_binary64_17779` `add-log-exp_binary64_17849`
5×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
4×	`cancel-sign-sub-inv_binary64_17776` `associate-/l*_binary64_17755`
3×	`associate-/r*_binary64_17754` `flip3--_binary64_17814` `flip--_binary64_17785` `pow1_binary64_17871`
2×	`div-sub_binary64_17815` `diff-log_binary64_17902` `associate-/l/_binary64_17757` `sub-neg_binary64_17803`
1×	`clear-num_binary64_17809` `associate--l-_binary64_17748` `div-inv_binary64_17807` `div-exp_binary64_17861` `distribute-lft-out--_binary64_17762` `cbrt-undiv_binary64_17844` `frac-2neg_binary64_17821`

Counts

3 → 65

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

series104.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
36.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
22.0ms	(-.f64 (.f64 z z) (.f64 x x))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5012	1382

prune77.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Error

0.0b

Counts

76 → 5

Compiler

Compiled 1529 to 443 computations (71% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
0.0b	(/.f64 (-.f64 z x) y)
0.2b	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_17832`
40×	`*-un-lft-identity_binary64_17810`
31×	`times-frac_binary64_17816`
24×	`add-cube-cbrt_binary64_17845`
19×	`associate-r_binary64_17750`
10×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
7×	`difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762`
5×	`associate-/l*_binary64_17755` `add-log-exp_binary64_17849` `pow1_binary64_17871`
4×	`associate-l_binary64_17751`
3×	`cancel-sign-sub-inv_binary64_17776` `associate-/r*_binary64_17754`
2×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `prod-exp_binary64_17859` `flip3--_binary64_17814` `div-inv_binary64_17807` `flip-+_binary64_17784` `associate-*l/_binary64_17753` `flip--_binary64_17785` `div-exp_binary64_17861` `flip3-+_binary64_17813` `cbrt-undiv_binary64_17844` `frac-times_binary64_17820` `associate-/l/_binary64_17757`
1×	`pow-prod-down_binary64_17881` `clear-num_binary64_17809` `-commutative_binary64_17741` `associate-r/_binary64_17752` `div-sub_binary64_17815` `distribute-lft-out_binary64_17761` `diff-log_binary64_17902` `frac-2neg_binary64_17821` `sub-neg_binary64_17803`

Counts

3 → 95

Calls

3 calls:

13.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
11.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
6.0ms	(/.f64 (-.f64 z x) y)

series115.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
42.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
27.0ms	(/.f64 (-.f64 z x) y)

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4956	1642
1	4956	1642

prune84.0ms (2.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Error

Counts

109 → 5

Compiler

Compiled 2115 to 618 computations (70.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite78.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`times-frac_binary64_17816`
165×	`*-un-lft-identity_binary64_17810`
128×	`add-sqr-sqrt_binary64_17832`
81×	`add-cube-cbrt_binary64_17845`
26×	`associate-/r*_binary64_17754`
22×	`difference-of-squares_binary64_17779` `distribute-lft-out_binary64_17761`
20×	`distribute-lft-out--_binary64_17762`
13×	`associate-/r/_binary64_17756`
10×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
7×	`flip3--_binary64_17814` `div-inv_binary64_17807` `associate-/l*_binary64_17755` `flip--_binary64_17785`
5×	`add-log-exp_binary64_17849`
4×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844`
3×	`cancel-sign-sub-inv_binary64_17776` `pow1_binary64_17871`
2×	`clear-num_binary64_17809` `associate-/l/_binary64_17757` `frac-2neg_binary64_17821`
1×	`flip-+_binary64_17784` `flip3-+_binary64_17813` `diff-log_binary64_17902` `sub-neg_binary64_17803`

Counts

3 → 181

Calls

3 calls:

37.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
16.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
6.0ms	(/.f64 y (-.f64 z x))

series119.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
39.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
29.0ms	(/.f64 y (-.f64 z x))

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	4391
1	4976	4391

prune155.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	190	5	195

Error

Counts

195 → 5

Compiler

Compiled 4309 to 1052 computations (75.6% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 1 y))) y)
0.2b	(.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 1 y)))
0.3b	(*.f64 (-.f64 z x) (/.f64 1 y))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_17848`
22×	`add-sqr-sqrt_binary64_17832`
20×	`frac-times_binary64_17820`
18×	`*-un-lft-identity_binary64_17810`
17×	`add-cbrt-cube_binary64_17846`
14×	`associate-r_binary64_17750`
13×	`prod-exp_binary64_17859` `add-cube-cbrt_binary64_17845`
11×	`times-frac_binary64_17816`
10×	`associate-l/_binary64_17753` `associate-r/_binary64_17752` `pow1_binary64_17871`
9×	`flip3--_binary64_17814` `flip--_binary64_17785` `associate-l_binary64_17751`
7×	`cbrt-unprod_binary64_17843` `flip-+_binary64_17784` `flip3-+_binary64_17813`
5×	`add-log-exp_binary64_17849`
4×	`pow-prod-down_binary64_17881` `div-exp_binary64_17861` `un-div-inv_binary64_17808`
3×	`cancel-sign-sub-inv_binary64_17776` `unswap-sqr_binary64_17778`
2×	`*-commutative_binary64_17741` `1-exp_binary64_17854` `cbrt-undiv_binary64_17844` `rec-exp_binary64_17860`
1×	`div-inv_binary64_17807` `difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762` `distribute-lft-out_binary64_17761` `diff-log_binary64_17902` `sub-neg_binary64_17803`

Counts

3 → 99

Calls

3 calls:

15.0ms	(-.f64 (.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 1 y))) y)
14.0ms	(.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 1 y)))
11.0ms	(*.f64 (-.f64 z x) (/.f64 1 y))

series109.0ms (3%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 1 y)))
36.0ms	(-.f64 (.f64 (+.f64 z x) (.f64 (-.f64 z x) (/.f64 1 y))) y)
25.0ms	(*.f64 (-.f64 z x) (/.f64 1 y))

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5008	1799

prune83.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Error

Counts

113 → 5

Compiler

Compiled 2183 to 737 computations (66.2% saved)

regimes298.0ms (8.1%)

Accuracy

Total 0.1b remaining (82.9%)

Threshold costs 0.1b (82.9%)

Compiler

Compiled 3914 to 2244 computations (42.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.1s (30.3%)

Algorithm

1×

intervals

Results

322.0ms	8000×	body	128	valid
124.0ms	2962×	body	128	invalid

Compiler

Compiled 580 to 342 computations (41% saved)

Details

analyze769.0ms (21%)

sample25.0ms (0.7%)

simplify78.0ms (2.1%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite26.0ms (0.7%)

series104.0ms (2.8%)

simplify59.0ms (1.6%)

prune77.0ms (2.1%)

localize11.0ms (0.3%)

rewrite38.0ms (1%)

series115.0ms (3.1%)

simplify73.0ms (2%)

prune84.0ms (2.3%)

localize9.0ms (0.2%)

rewrite78.0ms (2.1%)

series119.0ms (3.2%)

simplify90.0ms (2.5%)

prune155.0ms (4.2%)

localize10.0ms (0.3%)

rewrite49.0ms (1.3%)

series109.0ms (3%)

simplify81.0ms (2.2%)

prune83.0ms (2.3%)

regimes298.0ms (8.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (30.3%)

Profiling