Details

analyze793.0ms (10.8%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	112×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune9.0ms (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

9.7b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
1.7b	(-.f64 (.f64 z z) (.f64 x x))
10.1b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite91.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_18855`
15×	`*-un-lft-identity_binary64_18833`
13×	`add-cube-cbrt_binary64_18868` `times-frac_binary64_18839`
7×	`add-log-exp_binary64_18872` `difference-of-squares_binary64_18802`
5×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
4×	`associate-/l*_binary64_18778` `cancel-sign-sub-inv_binary64_18799`
3×	`pow1_binary64_18894` `flip3--_binary64_18837` `flip--_binary64_18808` `associate-/r*_binary64_18777`
2×	`div-sub_binary64_18838` `associate-/l/_binary64_18780` `diff-log_binary64_18925` `sub-neg_binary64_18826`
1×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830` `distribute-lft-out--_binary64_18785` `associate--l-_binary64_18771`

Counts

3 → 65

Calls

3 calls:

10.0ms	(-.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))

Compiler

Compiled 1473 to 394 computations (73.3% saved)

series572.0ms (7.8%)

Error

5.2b

Counts

3 → 45

Calls

3 calls:

251.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
195.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
90.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1418 to 1185 computations (16.4% saved)

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5443	1737

prune92.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	5	112

Error

0.0b

Counts

112 → 5

Compiler

Compiled 1953 to 529 computations (72.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite127.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_18855`
40×	`*-un-lft-identity_binary64_18833`
31×	`times-frac_binary64_18839`
24×	`add-cube-cbrt_binary64_18868`
19×	`associate-l_binary64_18774`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
7×	`difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785`
5×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `associate-/l*_binary64_18778`
4×	`associate-r_binary64_18773`
3×	`associate-/r*_binary64_18777` `cancel-sign-sub-inv_binary64_18799`
2×	`div-exp_binary64_18884` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `cbrt-undiv_binary64_18867` `flip3-+_binary64_18836` `frac-times_binary64_18843` `flip-+_binary64_18807` `unswap-sqr_binary64_18801` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `associate-*r/_binary64_18775` `div-inv_binary64_18830` `flip3--_binary64_18837` `associate-/l/_binary64_18780` `flip--_binary64_18808` `associate--l+_binary64_18770`
1×	`pow-prod-down_binary64_18904` `associate-l/_binary64_18776` `distribute-lft-out_binary64_18784` `-commutative_binary64_18764` `frac-2neg_binary64_18844` `div-sub_binary64_18838` `clear-num_binary64_18832` `diff-log_binary64_18925` `sub-neg_binary64_18826`

Counts

3 → 99

Calls

3 calls:

12.0ms	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))
11.0ms	(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)
6.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 2148 to 640 computations (70.2% saved)

series601.0ms (8.2%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

241.0ms	(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)
208.0ms	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))
121.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 1601 to 1193 computations (25.5% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5000	2068

prune111.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	145	7	152

Error

Counts

152 → 7

Compiler

Compiled 2685 to 766 computations (71.5% saved)

localize8.0ms (0.1%)

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))
0.3b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite228.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

177×	`times-frac_binary64_18839`
165×	`*-un-lft-identity_binary64_18833`
128×	`add-sqr-sqrt_binary64_18855`
81×	`add-cube-cbrt_binary64_18868`
26×	`associate-/r*_binary64_18777`
22×	`difference-of-squares_binary64_18802` `distribute-lft-out_binary64_18784`
20×	`distribute-lft-out--_binary64_18785`
13×	`associate-/r/_binary64_18779`
10×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
7×	`div-inv_binary64_18830` `flip3--_binary64_18837` `flip--_binary64_18808` `associate-/l*_binary64_18778`
5×	`add-log-exp_binary64_18872`
4×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867`
3×	`pow1_binary64_18894` `cancel-sign-sub-inv_binary64_18799`
2×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `associate-/l/_binary64_18780`
1×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `diff-log_binary64_18925` `sub-neg_binary64_18826`

Counts

3 → 181

Calls

3 calls:

35.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
12.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
8.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 4471 to 1254 computations (72% saved)

series614.0ms (8.3%)

Error

Counts

3 → 57

Calls

3 calls:

241.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
202.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
126.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 2270 to 1639 computations (27.8% saved)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5028	5102

prune182.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	238	7	245

Error

Counts

245 → 7

Compiler

Compiled 5089 to 1315 computations (74.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite356.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-exp-log_binary64_18871`
22×	`add-sqr-sqrt_binary64_18855`
20×	`frac-times_binary64_18843`
18×	`*-un-lft-identity_binary64_18833`
17×	`add-cbrt-cube_binary64_18869` `associate-r_binary64_18773`
14×	`associate-*l/_binary64_18776`
13×	`prod-exp_binary64_18882` `add-cube-cbrt_binary64_18868`
11×	`times-frac_binary64_18839`
10×	`pow1_binary64_18894`
9×	`flip3--_binary64_18837` `flip--_binary64_18808`
7×	`cbrt-unprod_binary64_18866` `flip3-+_binary64_18836` `flip-+_binary64_18807`
6×	`associate-r/_binary64_18775` `associate-l*_binary64_18774`
5×	`add-log-exp_binary64_18872`
4×	`pow-prod-down_binary64_18904` `div-exp_binary64_18884` `un-div-inv_binary64_18831`
3×	`unswap-sqr_binary64_18801` `cancel-sign-sub-inv_binary64_18799`
2×	`1-exp_binary64_18877` `rec-exp_binary64_18883` `cbrt-undiv_binary64_18867` `distribute-rgt-in_binary64_18783` `distribute-lft-in_binary64_18782` `*-commutative_binary64_18764` `associate--l+_binary64_18770`
1×	`distribute-lft-out_binary64_18784` `difference-of-squares_binary64_18802` `distribute-lft-out--_binary64_18785` `div-inv_binary64_18830` `diff-log_binary64_18925` `sub-neg_binary64_18826`

Counts

3 → 103

Calls

3 calls:

219.0ms	(-.f64 (.f64 (.f64 (-.f64 z x) (/.f64 1 y)) (+.f64 x z)) y)
14.0ms	(.f64 (.f64 (-.f64 z x) (/.f64 1 y)) (+.f64 x z))
11.0ms	(*.f64 (-.f64 z x) (/.f64 1 y))

Compiler

Compiled 2568 to 1176 computations (54.2% saved)

series592.0ms (8%)

Error

Counts

3 → 48

Calls

3 calls:

244.0ms	(-.f64 (.f64 (.f64 (-.f64 z x) (/.f64 1 y)) (+.f64 x z)) y)
209.0ms	(.f64 (.f64 (-.f64 z x) (/.f64 1 y)) (+.f64 x z))
109.0ms	(*.f64 (-.f64 z x) (/.f64 1 y))

Compiler

Compiled 1601 to 1193 computations (25.5% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5079	2229

prune111.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	151	7	158

Error

Counts

158 → 7

Compiler

Compiled 2687 to 852 computations (68.3% saved)

regimes697.0ms (9.4%)

Accuracy

Total 0.1b remaining (82.6%)

Threshold costs 0.1b (82.6%)

Compiler

Compiled 9080 to 5488 computations (39.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms (0%)

sample1.7s (23.7%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	128	valid
114.0ms	2886×	body	128	invalid

Compiler

Compiled 1350 to 831 computations (38.4% saved)

Details

analyze793.0ms (10.8%)

sample28.0ms (0.4%)

simplify78.0ms (1.1%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

rewrite91.0ms (1.2%)

series572.0ms (7.8%)

simplify65.0ms (0.9%)

prune92.0ms (1.3%)

localize8.0ms (0.1%)

rewrite127.0ms (1.7%)

series601.0ms (8.2%)

simplify68.0ms (0.9%)

prune111.0ms (1.5%)

localize8.0ms (0.1%)

rewrite228.0ms (3.1%)

series614.0ms (8.3%)

simplify96.0ms (1.3%)

prune182.0ms (2.5%)

localize10.0ms (0.1%)

rewrite356.0ms (4.8%)

series592.0ms (8%)

simplify77.0ms (1%)

prune111.0ms (1.5%)

regimes697.0ms (9.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (23.7%)

Profiling