Details

analyze5.0s (12.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5274	17182
0	16	16
1	16	16

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

Compiler

Compiled 96 to 64 computations (33.3% saved)

sample673.0ms (1.6%)

Algorithm

1×

intervals

Results

402.0ms	2018×	body	128	invalid
55.0ms	256×	body	128	valid

Compiler

Compiled 191 to 143 computations (25.1% saved)

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5169	142

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

25.4b

Counts

2 → 1

Compiler

Compiled 190 to 126 computations (33.7% saved)

localize67.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.2b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.6b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.8b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite76.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip--_binary64_15739` `flip3--_binary64_15768`
20×	`add-sqr-sqrt_binary64_15786`
16×	`frac-times_binary64_15774`
12×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `associate-l_binary64_15705` `add-cube-cbrt_binary64_15799` `associate-r_binary64_15704` `*-un-lft-identity_binary64_15764` `pow1_binary64_15825`
8×	`distribute-lft-in_binary64_15713` `associate-l/_binary64_15707` `sub-neg_binary64_15757` `associate-r/_binary64_15706` `distribute-rgt-in_binary64_15714` `cancel-sign-sub-inv_binary64_15730`
4×	`add-log-exp_binary64_15803` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695` `pow-prod-down_binary64_15835`

Counts

4 → 120

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

series857.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
213.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
212.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
210.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))

simplify61.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5034	4424

prune435.0ms (1.1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	102	30	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	30	133

Error

19.7b

Counts

133 → 30

Compiler

Compiled 17524 to 2926 computations (83.3% saved)

localize71.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 (-.f64 (.f64 y2 t) (.f64 y3 y)) (.f64 c y4))
9.6b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.8b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite67.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`flip--_binary64_15739` `flip3--_binary64_15768`
17×	`add-sqr-sqrt_binary64_15786`
15×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `pow1_binary64_15825`
12×	`associate-l_binary64_15705` `frac-times_binary64_15774`
11×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
10×	`associate-r_binary64_15704`
8×	`associate-*l/_binary64_15707`
6×	`distribute-lft-in_binary64_15713` `sub-neg_binary64_15757` `associate-*r/_binary64_15706` `cbrt-unprod_binary64_15797` `distribute-rgt-in_binary64_15714` `prod-exp_binary64_15813` `cancel-sign-sub-inv_binary64_15730` `pow-prod-down_binary64_15835`
4×	`add-log-exp_binary64_15803` `*-commutative_binary64_15695`
3×	`unswap-sqr_binary64_15732`

Counts

4 → 110

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
7.0ms	(.f64 (-.f64 (.f64 y2 t) (.f64 y3 y)) (.f64 c y4))

series772.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
213.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
210.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
120.0ms	(.f64 (-.f64 (.f64 y2 t) (.f64 y3 y)) (.f64 c y4))

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5079	3728

prune337.0ms (0.8%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	3	26	29
Picked	1	0	1
Done	0	0	0
Total	124	28	152

Error

19.7b

Counts

152 → 28

Compiler

Compiled 17148 to 2717 computations (84.2% saved)

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.2b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.2b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.8b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite77.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip--_binary64_15739` `flip3--_binary64_15768`
20×	`add-sqr-sqrt_binary64_15786`
16×	`frac-times_binary64_15774`
12×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `associate-l_binary64_15705` `add-cube-cbrt_binary64_15799` `associate-r_binary64_15704` `*-un-lft-identity_binary64_15764` `pow1_binary64_15825`
8×	`distribute-lft-in_binary64_15713` `associate-l/_binary64_15707` `sub-neg_binary64_15757` `associate-r/_binary64_15706` `distribute-rgt-in_binary64_15714` `cancel-sign-sub-inv_binary64_15730`
4×	`add-log-exp_binary64_15803` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695` `pow-prod-down_binary64_15835`

Counts

4 → 120

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
10.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series855.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

221.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
218.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
209.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
207.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))

simplify62.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5041	4418

prune418.0ms (1%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	124	8	132
Fresh	0	27	27
Picked	1	0	1
Done	0	0	0
Total	125	35	160

Error

17.4b

Counts

160 → 35

Compiler

Compiled 20646 to 3173 computations (84.6% saved)

localize72.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.6b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
9.8b	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
10.5b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite88.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`flip--_binary64_15739` `flip3--_binary64_15768`
20×	`add-sqr-sqrt_binary64_15786`
16×	`frac-times_binary64_15774`
12×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `associate-l_binary64_15705` `add-cube-cbrt_binary64_15799` `associate-r_binary64_15704` `*-un-lft-identity_binary64_15764` `pow1_binary64_15825`
8×	`distribute-lft-in_binary64_15713` `associate-l/_binary64_15707` `sub-neg_binary64_15757` `associate-r/_binary64_15706` `distribute-rgt-in_binary64_15714` `cancel-sign-sub-inv_binary64_15730`
4×	`add-log-exp_binary64_15803` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695` `pow-prod-down_binary64_15835`

Counts

4 → 120

Calls

4 calls:

17.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
10.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

series854.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(.f64 (-.f64 (.f64 t j) (.f64 y k)) (-.f64 (.f64 y4 b) (*.f64 y5 i)))
215.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
210.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
204.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))

simplify97.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5052	4424

prune304.0ms (0.7%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	34	34
Picked	1	0	1
Done	0	0	0
Total	132	35	167

Error

17.4b

Counts

167 → 35

Compiler

Compiled 18900 to 1066 computations (94.4% saved)

regimes5.5s (13.4%)

Accuracy

Total 8.9b remaining (34.1%)

Threshold costs 0b (0%)

Compiler

Compiled 122911 to 73636 computations (40.1% saved)

bsearch19.0ms (0%)

Compiler: Compiled 95 to 63 computations (33.7% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	2534	783
1	2534	783

end0.0ms (0%)

sample23.8s (58.2%)

Algorithm

1×

intervals

Results

13.0s	66077×	body	128	invalid
1.6s	8000×	body	128	valid

Compiler

Compiled 8542 to 4667 computations (45.4% saved)

Details

analyze5.0s (12.3%)

sample673.0ms (1.6%)

simplify46.0ms (0.1%)

prune6.0ms (0%)

localize67.0ms (0.2%)

rewrite76.0ms (0.2%)

series857.0ms (2.1%)

simplify61.0ms (0.1%)

prune435.0ms (1.1%)

localize71.0ms (0.2%)

rewrite67.0ms (0.2%)

series772.0ms (1.9%)

simplify93.0ms (0.2%)

prune337.0ms (0.8%)

localize72.0ms (0.2%)

rewrite77.0ms (0.2%)

series855.0ms (2.1%)

simplify62.0ms (0.2%)

prune418.0ms (1%)

localize72.0ms (0.2%)

rewrite88.0ms (0.2%)

series854.0ms (2.1%)

simplify97.0ms (0.2%)

prune304.0ms (0.7%)

regimes5.5s (13.4%)

bsearch19.0ms (0%)

simplify90.0ms (0.2%)

end0.0ms (0%)

sample23.8s (58.2%)

Profiling