Details

analyze1.0s (16.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	91
0	4	4
1	4	4

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	62×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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

5.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
6.2b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite79.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_9989` `*-un-lft-identity_binary64_9967`
10×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
9×	`add-cube-cbrt_binary64_10002`
6×	`cancel-sign-sub-inv_binary64_9933`
5×	`pow1_binary64_10028` `add-log-exp_binary64_10006` `associate-r_binary64_9907`
4×	`associate-*r/_binary64_9909` `distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916`
3×	`times-frac_binary64_9973` `associate-/r_binary64_9911` `associate-l*_binary64_9908`
2×	`prod-exp_binary64_10016` `div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `cbrt-unprod_binary64_10000` `flip3--_binary64_9971` `associate-/l/_binary64_9914` `flip--_binary64_9942` `sub-neg_binary64_9960`
1×	`frac-2neg_binary64_9978` `clear-num_binary64_9966` `div-inv_binary64_9964` `associate-/l_binary64_9912` `sum-log_binary64_10058` `flip3-+_binary64_9970` `flip-+_binary64_9941` `distribute-lft-out_binary64_9918` `+-commutative_binary64_9897` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919` `-commutative_binary64_9898`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series595.0ms (9.6%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

282.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
195.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
88.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5049	1318

prune85.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	9	123

Error

Counts

123 → 9

Compiler

Compiled 1477 to 329 computations (77.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t))
0.3b	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))
6.2b	(/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t)

rewrite74.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_9967`
12×	`add-cube-cbrt_binary64_10002` `add-sqr-sqrt_binary64_9989` `times-frac_binary64_9973`
9×	`add-log-exp_binary64_10006`
5×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003` `distribute-lft-neg-in_binary64_9924` `distribute-rgt-out_binary64_9920` `associate-+r-_binary64_9901`
4×	`div-sub_binary64_9972` `associate-/l*_binary64_9912`
3×	`pow1_binary64_10028` `unsub-neg_binary64_9961` `neg-sub0_binary64_9962` `flip3-+_binary64_9970` `flip-+_binary64_9941` `associate-/r*_binary64_9911` `sum-log_binary64_10058`
2×	`associate-/l/_binary64_9914` `+-commutative_binary64_9897`
1×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `div-inv_binary64_9964` `neg-log_binary64_10060` `distribute-lft-out_binary64_9918`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+.f64 x (/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t))
7.0ms	(/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t)
5.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 1385 to 270 computations (80.5% saved)

series629.0ms (10.2%)

Error

Counts

3 → 57

Calls

3 calls:

282.0ms	(+.f64 x (/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t))
223.0ms	(/.f64 (+.f64 (.f64 z y) (neg.f64 (.f64 x y))) t)
99.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 1511 to 881 computations (41.7% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4963	1511
1	4963	1511

prune70.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Error

Counts

130 → 9

Compiler

Compiled 1598 to 318 computations (80.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z x) y)
0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
0.3b	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
6.2b	(/.f64 t (*.f64 (-.f64 z x) y))

rewrite143.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_9973`
32×	`add-exp-log_binary64_10005`
31×	`*-un-lft-identity_binary64_9967`
30×	`add-sqr-sqrt_binary64_9989`
26×	`add-cube-cbrt_binary64_10002`
20×	`add-cbrt-cube_binary64_10003`
14×	`div-exp_binary64_10018`
12×	`associate-*l/_binary64_9910`
11×	`associate-/r/_binary64_9913`
10×	`associate-/r*_binary64_9911`
7×	`pow1_binary64_10028` `cbrt-undiv_binary64_10001` `div-inv_binary64_9964`
6×	`add-log-exp_binary64_10006` `flip3--_binary64_9971` `flip--_binary64_9942` `associate-/l*_binary64_9912`
5×	`prod-exp_binary64_10016` `associate-l_binary64_9908`
3×	`cbrt-unprod_binary64_10000` `1-exp_binary64_10011` `rec-exp_binary64_10017` `associate-r_binary64_9907`
2×	`frac-2neg_binary64_9978` `clear-num_binary64_9966` `distribute-lft-out_binary64_9918`
1×	`inv-pow_binary64_10052` `pow-flip_binary64_10041` `sum-log_binary64_10058` `flip3-+_binary64_9970` `flip-+_binary64_9941` `+-commutative_binary64_9897` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919` `*-commutative_binary64_9898`

Counts

4 → 122

Calls

4 calls:

14.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
10.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
7.0ms	(/.f64 t (*.f64 (-.f64 z x) y))
7.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 2347 to 874 computations (62.8% saved)

series765.0ms (12.4%)

Error

Counts

4 → 75

Calls

4 calls:

260.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
188.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
177.0ms	(/.f64 t (*.f64 (-.f64 z x) y))
104.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 2324 to 1468 computations (36.8% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4966	2624
1	4966	2624

prune126.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	199	7	206

Error

Counts

206 → 7

Compiler

Compiled 2755 to 815 computations (70.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 z x) (/.f64 y t)))
4.7b	(*.f64 (-.f64 z x) (/.f64 y t))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64_9989`
13×	`associate-r_binary64_9907`
12×	`*-un-lft-identity_binary64_9967`
10×	`add-cube-cbrt_binary64_10002` `times-frac_binary64_9973`
7×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
5×	`associate-l_binary64_9908`
4×	`pow1_binary64_10028` `add-log-exp_binary64_10006`
2×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `flip3--_binary64_9971` `frac-times_binary64_9977` `flip--_binary64_9942` `unswap-sqr_binary64_9935` `associate-*l/_binary64_9910`
1×	`pow-prod-down_binary64_10038` `div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-r/_binary64_9909` `difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919` `div-inv_binary64_9964` `-commutative_binary64_9898` `sum-log_binary64_10058` `flip3-+_binary64_9970` `flip-+_binary64_9941` `+-commutative_binary64_9897`

Counts

2 → 49

Calls

2 calls:

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

Compiler

Compiled 861 to 228 computations (73.5% saved)

series474.0ms (7.7%)

Error

Counts

2 → 42

Calls

2 calls:

270.0ms	(+.f64 x (*.f64 (-.f64 z x) (/.f64 y t)))
187.0ms	(*.f64 (-.f64 z x) (/.f64 y t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5097	1175

prune46.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Error

Counts

98 → 7

Compiler

Compiled 1096 to 211 computations (80.7% saved)

regimes335.0ms (5.4%)

Accuracy

Total 2.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3066 to 2358 computations (23.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample1.3s (20.6%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
66.0ms	2105×	body	128	invalid

Compiler

Compiled 641 to 493 computations (23.1% saved)

Details

analyze1.0s (16.8%)

sample23.0ms (0.4%)

simplify57.0ms (0.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite79.0ms (1.3%)

series595.0ms (9.6%)

simplify61.0ms (1%)

prune85.0ms (1.4%)

localize8.0ms (0.1%)

rewrite74.0ms (1.2%)

series629.0ms (10.2%)

simplify65.0ms (1%)

prune70.0ms (1.1%)

localize8.0ms (0.1%)

rewrite143.0ms (2.3%)

series765.0ms (12.4%)

simplify96.0ms (1.6%)

prune126.0ms (2%)

localize6.0ms (0.1%)

rewrite51.0ms (0.8%)

series474.0ms (7.7%)

simplify56.0ms (0.9%)

prune46.0ms (0.7%)

regimes335.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (20.6%)

Profiling