Details

analyze703.0ms (12.2%)

Algorithm

1×

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify240.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4957	25
1	4957	25

prune2.0ms (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

Merged error: 10.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(-.f64 (*.f64 y z) x)
0.5b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
11.9b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite63.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64_13839`
25×	`times-frac_binary64_13845`
23×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874`
11×	`distribute-lft-out_binary64_13790`
8×	`add-log-exp_binary64_13878` `add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
7×	`associate-/l_binary64_13784` `associate-/r_binary64_13783`
4×	`pow1_binary64_13900` `associate-/l/_binary64_13786` `div-sub_binary64_13844` `associate-/r/_binary64_13785`
3×	`flip--_binary64_13814` `flip3-+_binary64_13842` `cancel-sign-sub-inv_binary64_13805` `flip-+_binary64_13813` `flip3--_binary64_13843`
2×	`div-exp_binary64_13890` `associate-+r-_binary64_13773` `cbrt-undiv_binary64_13873` `clear-num_binary64_13838` `div-inv_binary64_13836` `frac-2neg_binary64_13850`
1×	`sub-neg_binary64_13832` `+-commutative_binary64_13769` `diff-log_binary64_13931` `sum-log_binary64_13930`

Counts

4 → 100

Calls

4 calls:

22.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
14.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
12.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
5.0ms	(-.f64 (*.f64 y z) x)

series612.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
174.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
149.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
42.0ms	(-.f64 (*.f64 y z) x)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4953	2851
1	4953	2851

prune438.0ms (7.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	9	113

Merged error: 1.4b

Counts

113 → 9

Compiler

Compiled 9728 to 4907 computations (49.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (-.f64 (/.f64 (.f64 y z) (-.f64 (.f64 z t) x)) (/.f64 x (-.f64 (*.f64 z t) x))))
0.5b	(/.f64 (+.f64 x (-.f64 (/.f64 (.f64 y z) (-.f64 (.f64 z t) x)) (/.f64 x (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
2.4b	(/.f64 x (-.f64 (*.f64 z t) x))
12.9b	(/.f64 (.f64 y z) (-.f64 (.f64 z t) x))

rewrite90.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_13839`
41×	`times-frac_binary64_13845`
32×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874`
18×	`distribute-lft-out_binary64_13790`
16×	`associate-+r+_binary64_13771`
15×	`cancel-sign-sub-inv_binary64_13805`
13×	`add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
10×	`associate-/r*_binary64_13783`
9×	`associate-/l*_binary64_13784` `add-log-exp_binary64_13878`
8×	`associate-/r/_binary64_13785`
6×	`distribute-lft-out--_binary64_13791`
4×	`div-exp_binary64_13890` `pow1_binary64_13900` `cbrt-undiv_binary64_13873` `div-inv_binary64_13836`
3×	`flip--_binary64_13814` `flip3-+_binary64_13842` `flip-+_binary64_13813` `clear-num_binary64_13838` `frac-2neg_binary64_13850` `flip3--_binary64_13843`
2×	`associate-/l/_binary64_13786` `associate-+r-_binary64_13773` `sum-log_binary64_13930`
1×	`sub-neg_binary64_13832` `+-commutative_binary64_13769` `diff-log_binary64_13931` `div-sub_binary64_13844` `cbrt-unprod_binary64_13872` `prod-exp_binary64_13888`

Counts

4 → 129

Calls

4 calls:

30.0ms	(/.f64 (+.f64 x (-.f64 (/.f64 (.f64 y z) (-.f64 (.f64 z t) x)) (/.f64 x (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
27.0ms	(+.f64 x (-.f64 (/.f64 (.f64 y z) (-.f64 (.f64 z t) x)) (/.f64 x (-.f64 (*.f64 z t) x))))
9.0ms	(/.f64 x (-.f64 (*.f64 z t) x))
8.0ms	(/.f64 (.f64 y z) (-.f64 (.f64 z t) x))

series642.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(/.f64 (+.f64 x (-.f64 (/.f64 (.f64 y z) (-.f64 (.f64 z t) x)) (/.f64 x (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
189.0ms	(+.f64 x (-.f64 (/.f64 (.f64 y z) (-.f64 (.f64 z t) x)) (/.f64 x (-.f64 (*.f64 z t) x))))
99.0ms	(/.f64 (.f64 y z) (-.f64 (.f64 z t) x))
95.0ms	(/.f64 x (-.f64 (*.f64 z t) x))

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4944	3913
1	4944	3913

prune193.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	4	3	7
Picked	1	0	1
Done	1	0	1
Total	142	8	150

Merged error: 0.5b

Counts

150 → 8

Compiler

Compiled 5621 to 1711 computations (69.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (+.f64 x (-.f64 (/.f64 y (/.f64 (-.f64 (.f64 z t) x) z)) (/.f64 x (-.f64 (.f64 z t) x)))) (+.f64 x 1))
2.4b	(/.f64 x (-.f64 (*.f64 z t) x))
3.0b	(/.f64 y (/.f64 (-.f64 (*.f64 z t) x) z))
7.8b	(/.f64 (-.f64 (*.f64 z t) x) z)

rewrite107.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

113×	`times-frac_binary64_13845`
110×	`*-un-lft-identity_binary64_13839`
73×	`add-sqr-sqrt_binary64_13861` `add-cube-cbrt_binary64_13874`
23×	`associate-/r*_binary64_13783`
16×	`distribute-lft-out_binary64_13790`
15×	`add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
14×	`associate-/l*_binary64_13784`
8×	`div-inv_binary64_13836`
6×	`div-exp_binary64_13890` `cbrt-undiv_binary64_13873`
5×	`associate-/r/_binary64_13785` `distribute-lft-out--_binary64_13791`
4×	`pow1_binary64_13900` `associate-/l/_binary64_13786` `add-log-exp_binary64_13878` `clear-num_binary64_13838` `frac-2neg_binary64_13850`
2×	`flip--_binary64_13814` `flip3-+_binary64_13842` `div-sub_binary64_13844` `flip-+_binary64_13813` `flip3--_binary64_13843`
1×	`associate-+r-_binary64_13773`

Counts

4 → 175

Calls

4 calls:

60.0ms	(/.f64 (+.f64 x (-.f64 (/.f64 y (/.f64 (-.f64 (.f64 z t) x) z)) (/.f64 x (-.f64 (.f64 z t) x)))) (+.f64 x 1))
10.0ms	(/.f64 y (/.f64 (-.f64 (*.f64 z t) x) z))
8.0ms	(/.f64 (-.f64 (*.f64 z t) x) z)
7.0ms	(/.f64 x (-.f64 (*.f64 z t) x))

series525.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

254.0ms	(/.f64 (+.f64 x (-.f64 (/.f64 y (/.f64 (-.f64 (.f64 z t) x) z)) (/.f64 x (-.f64 (.f64 z t) x)))) (+.f64 x 1))
106.0ms	(/.f64 y (/.f64 (-.f64 (*.f64 z t) x) z))
94.0ms	(/.f64 x (-.f64 (*.f64 z t) x))
71.0ms	(/.f64 (-.f64 (*.f64 z t) x) z)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5096	4720

prune218.0ms (3.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	189	6	195

Merged error: 0.5b

Counts

195 → 6

Compiler

Compiled 6684 to 1944 computations (70.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (/.f64 x z))
0.5b	(/.f64 (+.f64 x (-.f64 (/.f64 y (-.f64 t (/.f64 x z))) (/.f64 x (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
2.4b	(/.f64 x (-.f64 (*.f64 z t) x))
3.0b	(/.f64 y (-.f64 t (/.f64 x z)))

rewrite90.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`*-un-lft-identity_binary64_13839`
66×	`add-sqr-sqrt_binary64_13861`
61×	`times-frac_binary64_13845`
41×	`add-cube-cbrt_binary64_13874`
16×	`distribute-lft-out_binary64_13790`
13×	`cancel-sign-sub-inv_binary64_13805` `associate-/r*_binary64_13783`
11×	`associate-/l*_binary64_13784`
10×	`distribute-lft-out--_binary64_13791` `difference-of-squares_binary64_13808` `add-exp-log_binary64_13877` `add-cbrt-cube_binary64_13875`
6×	`add-log-exp_binary64_13878` `associate-/r/_binary64_13785`
4×	`pow1_binary64_13900` `div-inv_binary64_13836`
3×	`div-exp_binary64_13890` `flip--_binary64_13814` `cbrt-undiv_binary64_13873` `clear-num_binary64_13838` `frac-2neg_binary64_13850` `flip3--_binary64_13843`
2×	`associate-/l/_binary64_13786` `flip3-+_binary64_13842` `flip-+_binary64_13813`
1×	`sub-neg_binary64_13832` `associate-+r-_binary64_13773` `diff-log_binary64_13931` `div-sub_binary64_13844`

Counts

4 → 143

Calls

4 calls:

45.0ms	(/.f64 (+.f64 x (-.f64 (/.f64 y (-.f64 t (/.f64 x z))) (/.f64 x (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
10.0ms	(/.f64 y (-.f64 t (/.f64 x z)))
9.0ms	(-.f64 t (/.f64 x z))
7.0ms	(/.f64 x (-.f64 (*.f64 z t) x))

series450.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (+.f64 x (-.f64 (/.f64 y (-.f64 t (/.f64 x z))) (/.f64 x (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
99.0ms	(/.f64 x (-.f64 (*.f64 z t) x))
88.0ms	(/.f64 y (-.f64 t (/.f64 x z)))
38.0ms	(-.f64 t (/.f64 x z))

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5160	3618

prune154.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Merged error: 0.5b

Counts

161 → 6

Compiler

Compiled 4608 to 1190 computations (74.2% saved)

regimes61.0ms (1.1%)

Compiler: Compiled 488 to 376 computations (23% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	31
1	47	31

end0.0ms (0%)

sample771.0ms (13.3%)

Algorithm

1×

intervals

Results

374.0ms	8000×	body	128	valid
18.0ms	340×	body	128	invalid

Compiler

Compiled 180 to 134 computations (25.6% saved)

Details

analyze703.0ms (12.2%)

sample25.0ms (0.4%)

simplify240.0ms (4.2%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite63.0ms (1.1%)

series612.0ms (10.6%)

simplify82.0ms (1.4%)

prune438.0ms (7.6%)

localize12.0ms (0.2%)

rewrite90.0ms (1.6%)

series642.0ms (11.1%)

simplify88.0ms (1.5%)

prune193.0ms (3.3%)

localize13.0ms (0.2%)

rewrite107.0ms (1.8%)

series525.0ms (9.1%)

simplify89.0ms (1.5%)

prune218.0ms (3.8%)

localize14.0ms (0.2%)

rewrite90.0ms (1.6%)

series450.0ms (7.8%)

simplify83.0ms (1.4%)

prune154.0ms (2.7%)

regimes61.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample771.0ms (13.3%)

Profiling