Details

analyze2.0s (19.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample89.0ms (0.9%)

Algorithm

1×

intervals

Results

32.0ms	371×	body	128	invalid
18.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify689.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (598.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

prune3.0ms (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

12.1b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 c z) (.f64 t i))
3.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_21924`
10×	`*-un-lft-identity_binary64_21902` `pow1_binary64_21963` `add-cbrt-cube_binary64_21938` `add-cube-cbrt_binary64_21937` `add-exp-log_binary64_21940`
9×	`associate-r_binary64_21842` `associate-l_binary64_21843`
7×	`sub-neg_binary64_21895` `cancel-sign-sub-inv_binary64_21868`
6×	`distribute-lft-in_binary64_21851` `associate-*r/_binary64_21844` `distribute-rgt-in_binary64_21852` `add-log-exp_binary64_21941`
4×	`flip--_binary64_21877` `flip3--_binary64_21906`
3×	`cbrt-unprod_binary64_21935` `pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833`
1×	`diff-log_binary64_21994`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(-.f64 (.f64 c z) (.f64 t i))

series300.0ms (3%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
83.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
81.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
42.0ms	(-.f64 (.f64 c z) (.f64 t i))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4943	1492
1	4943	1492

prune151.0ms (1.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	74	22	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	22	97

Error

7.7b

Counts

97 → 22

Compiler

Compiled 4179 to 944 computations (77.4% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0b	(.f64 b (.f64 c z))
5.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.2b	(.f64 b (neg.f64 (.f64 t i)))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_21924`
15×	`pow1_binary64_21963` `add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
13×	`associate-r_binary64_21842`
12×	`associate-l_binary64_21843`
11×	`*-un-lft-identity_binary64_21902` `add-cube-cbrt_binary64_21937`
6×	`cbrt-unprod_binary64_21935` `pow-prod-down_binary64_21973` `prod-exp_binary64_21951`
4×	`sub-neg_binary64_21895` `distribute-lft-in_binary64_21851` `cancel-sign-sub-inv_binary64_21868` `associate-r/_binary64_21844` `distribute-rgt-in_binary64_21852` `add-log-exp_binary64_21941` `-commutative_binary64_21833`
3×	`unswap-sqr_binary64_21870`
2×	`flip--_binary64_21877` `flip3--_binary64_21906`
1×	`distribute-rgt-neg-in_binary64_21860` `neg-mul-1_binary64_21898` `distribute-lft-neg-in_binary64_21859` `distribute-rgt-neg-out_binary64_21862`

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0ms	(.f64 b (.f64 c z))
5.0ms	(.f64 b (neg.f64 (.f64 t i)))

series227.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
81.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
26.0ms	(.f64 b (neg.f64 (.f64 t i)))
26.0ms	(.f64 b (.f64 c z))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5278	1271

prune134.0ms (1.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	100	22	122

Error

5.9b

Counts

122 → 22

Compiler

Compiled 4493 to 979 computations (78.2% saved)

localize244.0ms (2.4%)

Local error

Found 4 expressions with local error:

5.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
5.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
5.8b	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
5.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_21924`
12×	`associate-r_binary64_21842` `-un-lft-identity_binary64_21902` `pow1_binary64_21963` `add-cbrt-cube_binary64_21938` `add-cube-cbrt_binary64_21937` `associate-l*_binary64_21843` `add-exp-log_binary64_21940`
8×	`sub-neg_binary64_21895` `distribute-lft-in_binary64_21851` `cancel-sign-sub-inv_binary64_21868` `associate-*r/_binary64_21844` `distribute-rgt-in_binary64_21852`
4×	`cbrt-unprod_binary64_21935` `pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `flip--_binary64_21877` `add-log-exp_binary64_21941` `flip3--_binary64_21906` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833`

Counts

4 → 96

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

series322.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
83.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
77.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))
77.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 i y)))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5224	1696

prune159.0ms (1.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	108	22	130

Error

5.9b

Counts

130 → 22

Compiler

Compiled 7037 to 963 computations (86.3% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
3.0b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
3.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_21963` `add-exp-log_binary64_21940`
19×	`add-sqr-sqrt_binary64_21924`
15×	`add-cbrt-cube_binary64_21938`
13×	`associate-r_binary64_21842`
11×	`cbrt-unprod_binary64_21935` `pow-prod-down_binary64_21973` `*-un-lft-identity_binary64_21902` `prod-exp_binary64_21951` `add-cube-cbrt_binary64_21937`
10×	`associate-l_binary64_21843`
6×	`associate-*r/_binary64_21844`
4×	`sub-neg_binary64_21895` `distribute-lft-in_binary64_21851` `cancel-sign-sub-inv_binary64_21868` `associate-l/_binary64_21845` `flip--_binary64_21877` `cbrt-prod_binary64_21933` `distribute-rgt-in_binary64_21852` `add-log-exp_binary64_21941` `flip3--_binary64_21906` `unswap-sqr_binary64_21870` `-commutative_binary64_21833`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
7.0ms	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series449.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
140.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
85.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
75.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5686	1747

prune119.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	19	20
Picked	1	0	1
Done	0	1	1
Total	107	23	130

Error

5.9b

Counts

130 → 23

Compiler

Compiled 4336 to 443 computations (89.8% saved)

regimes1.1s (10.7%)

Accuracy

Total 6.3b remaining (50.2%)

Threshold costs 0b (0%)

Compiler

Compiled 16456 to 11158 computations (32.2% saved)

bsearch118.0ms (1.2%)

Steps

Iters	Range		Point
6	3.374195758592738e+104	3.0348495529077546e+105	1.7339880289718632e+105
5	-6.523334613943902e+163	-1.8479437373383578e+163	-1.8895405302235965e+163

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	661	129
1	661	129

end0.0ms (0%)

sample3.5s (34.9%)

Algorithm

1×

intervals

Results

896.0ms	11296×	body	128	invalid
624.0ms	8000×	body	128	valid

Compiler

Compiled 1870 to 1215 computations (35% saved)

Details

analyze2.0s (19.5%)

sample89.0ms (0.9%)

simplify689.0ms (6.8%)

prune3.0ms (0%)

localize26.0ms (0.3%)

rewrite32.0ms (0.3%)

series300.0ms (3%)

simplify70.0ms (0.7%)

prune151.0ms (1.5%)

localize26.0ms (0.3%)

rewrite31.0ms (0.3%)

series227.0ms (2.3%)

simplify72.0ms (0.7%)

prune134.0ms (1.3%)

localize244.0ms (2.4%)

rewrite40.0ms (0.4%)

series322.0ms (3.2%)

simplify66.0ms (0.7%)

prune159.0ms (1.6%)

localize28.0ms (0.3%)

rewrite43.0ms (0.4%)

series449.0ms (4.5%)

simplify47.0ms (0.5%)

prune119.0ms (1.2%)

regimes1.1s (10.7%)

bsearch118.0ms (1.2%)

simplify26.0ms (0.3%)

end0.0ms (0%)

sample3.5s (34.9%)

Profiling