Details

analyze1.1s (18.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	176
1	4887	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify286.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

Iter	Nodes	Cost
0	5693	16

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

11.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
11.4b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
9×	`add-cube-cbrt_binary64_13412`
6×	`cancel-sign-sub-inv_binary64_13343`
5×	`associate-r_binary64_13317` `associate-/r*_binary64_13321` `times-frac_binary64_13383` `pow1_binary64_13438` `add-log-exp_binary64_13416`
4×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326` `associate-*r/_binary64_13319`
3×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-l_binary64_13318`
2×	`prod-exp_binary64_13426` `associate-/l/_binary64_13324` `cbrt-unprod_binary64_13410` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411` `associate-/r/_binary64_13323` `sub-neg_binary64_13370`
1×	`+-commutative_binary64_13307` `div-inv_binary64_13374` `clear-num_binary64_13376` `sum-log_binary64_13468` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `distribute-lft-out_binary64_13328` `frac-2neg_binary64_13388` `flip-+_binary64_13351` `associate-/l_binary64_13322` `flip3-+_binary64_13380`

Counts

3 → 71

Calls

3 calls:

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

series239.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
86.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
32.0ms	(*.f64 y (-.f64 z t))

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4983	1097
1	4983	1097

prune67.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Error

0.0b

Counts

81 → 6

Compiler

Compiled 1335 to 324 computations (75.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.5b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite77.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_13383`
197×	`*-un-lft-identity_binary64_13377`
195×	`add-sqr-sqrt_binary64_13399`
91×	`add-cube-cbrt_binary64_13412`
52×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346`
36×	`associate-/r*_binary64_13321`
11×	`associate-/r/_binary64_13323`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`associate-/l*_binary64_13322`
6×	`div-inv_binary64_13374` `flip3--_binary64_13381` `flip--_binary64_13352`
5×	`add-log-exp_binary64_13416`
4×	`div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
3×	`pow1_binary64_13438`
2×	`associate-/l/_binary64_13324` `clear-num_binary64_13376` `frac-2neg_binary64_13388`
1×	`+-commutative_binary64_13307` `sum-log_binary64_13468` `distribute-lft-out_binary64_13328` `div-sub_binary64_13382` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

3 → 206

Calls

3 calls:

33.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
13.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

series346.0ms (6%)

Counts

3 → 9

Calls

3 calls:

155.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
150.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
41.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4992	5201
1	4992	5201

prune163.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	212	3	215
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	216	5	221

Error

Counts

221 → 5

Compiler

Compiled 4554 to 758 computations (83.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_13399`
71×	`*-un-lft-identity_binary64_13377`
51×	`times-frac_binary64_13383`
31×	`associate-r_binary64_13317`
27×	`add-cube-cbrt_binary64_13412`
22×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346`
10×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
5×	`associate-/r_binary64_13321` `pow1_binary64_13438` `add-log-exp_binary64_13416` `associate-/l_binary64_13322`
4×	`associate-/r/_binary64_13323`
3×	`flip3--_binary64_13381` `flip--_binary64_13352` `associate-l_binary64_13318`
2×	`prod-exp_binary64_13426` `associate-/l/_binary64_13324` `div-inv_binary64_13374` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
1×	`+-commutative_binary64_13307` `clear-num_binary64_13376` `sum-log_binary64_13468` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `div-sub_binary64_13382` `associate-r/_binary64_13319` `frac-2neg_binary64_13388` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series240.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
82.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
40.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5160	2068

prune83.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Error

Counts

127 → 5

Compiler

Compiled 2266 to 464 computations (79.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
1.3b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (/.f64 (-.f64 a t) (-.f64 z t))))
1.5b	(/.f64 (cbrt.f64 y) (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite155.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

703×	`times-frac_binary64_13383`
547×	`add-sqr-sqrt_binary64_13399`
536×	`*-un-lft-identity_binary64_13377`
276×	`add-cube-cbrt_binary64_13412`
197×	`cbrt-prod_binary64_13408`
191×	`associate-r_binary64_13317`
130×	`distribute-lft-out--_binary64_13329` `difference-of-squares_binary64_13346`
31×	`associate-/r*_binary64_13321`
30×	`add-exp-log_binary64_13415`
28×	`associate-/r/_binary64_13323`
18×	`add-cbrt-cube_binary64_13413`
15×	`div-inv_binary64_13374`
13×	`flip3--_binary64_13381` `flip--_binary64_13352`
9×	`prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `pow1_binary64_13438` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
6×	`associate-/l*_binary64_13322`
5×	`unswap-sqr_binary64_13345`
4×	`add-log-exp_binary64_13416`
3×	`pow-prod-down_binary64_13448`
2×	`pow1/3_binary64_13459`
1×	`clear-num_binary64_13376` `-commutative_binary64_13308` `associate-l_binary64_13318` `associate-r/_binary64_13319` `frac-2neg_binary64_13388`

Counts

4 → 480

Calls

4 calls:

57.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (/.f64 (-.f64 a t) (-.f64 z t))))
16.0ms	(/.f64 (cbrt.f64 y) (/.f64 (-.f64 a t) (-.f64 z t)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series811.0ms (14%)

Counts

4 → 12

Calls

4 calls:

430.0ms	(/.f64 (cbrt.f64 y) (/.f64 (-.f64 a t) (-.f64 z t)))
225.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (/.f64 (-.f64 a t) (-.f64 z t))))
81.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

simplify135.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

492 → 492

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5322	13336

prune430.0ms (7.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	492	0	492
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	492	5	497

Error

Counts

497 → 5

Compiler

Compiled 14387 to 2573 computations (82.1% saved)

regimes371.0ms (6.4%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 2660 to 2008 computations (24.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	84
1	42	84

end0.0ms (0%)

sample979.0ms (16.9%)

Algorithm

1×

intervals

Results

300.0ms	8000×	body	128	valid
25.0ms	703×	body	128	invalid

Compiler

Compiled 440 to 313 computations (28.9% saved)

Details

analyze1.1s (18.3%)

sample22.0ms (0.4%)

simplify286.0ms (5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite30.0ms (0.5%)

series239.0ms (4.1%)

simplify57.0ms (1%)

prune67.0ms (1.2%)

localize8.0ms (0.1%)

rewrite77.0ms (1.3%)

series346.0ms (6%)

simplify94.0ms (1.6%)

prune163.0ms (2.8%)

localize8.0ms (0.1%)

rewrite37.0ms (0.6%)

series240.0ms (4.2%)

simplify61.0ms (1%)

prune83.0ms (1.4%)

localize12.0ms (0.2%)

rewrite155.0ms (2.7%)

series811.0ms (14%)

simplify135.0ms (2.3%)

prune430.0ms (7.4%)

regimes371.0ms (6.4%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample979.0ms (16.9%)

Profiling