Details

analyze1.1s (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4903	176
1	4903	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
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify181.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

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

13.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
13.2b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite65.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

13.4b

Rules

10×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560` `*-un-lft-identity_binary64_20538`
9×	`times-frac_binary64_20544`
4×	`add-exp-log_binary64_20576` `add-log-exp_binary64_20577` `add-cbrt-cube_binary64_20574`
3×	`flip3--_binary64_20542` `flip--_binary64_20513` `associate-/l_binary64_20483` `associate-/r_binary64_20482`
2×	`pow1_binary64_20599` `associate-/l/_binary64_20485` `associate-/r/_binary64_20484`
1×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `frac-2neg_binary64_20549` `div-sub_binary64_20543` `clear-num_binary64_20537` `div-inv_binary64_20535` `diff-log_binary64_20630` `sub-neg_binary64_20531` `cancel-sign-sub-inv_binary64_20504`

Counts

2 → 44

Calls

2 calls:

7.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 949 to 167 computations (82.4% saved)

series443.0ms (5.4%)

Error

4.6b

Counts

2 → 45

Calls

2 calls:

316.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
96.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 1708 to 1048 computations (38.6% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4970	1484
1	4970	1484

prune79.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	13	90

Error

4.5b

Counts

90 → 13

Compiler

Compiled 1546 to 340 computations (78% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
3.0b	(/.f64 x (-.f64 t (*.f64 z a)))
13.1b	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))

rewrite106.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

20×	`add-sqr-sqrt_binary64_20560`
17×	`*-un-lft-identity_binary64_20538`
16×	`times-frac_binary64_20544`
15×	`add-cube-cbrt_binary64_20573`
10×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574` `associate-/r/_binary64_20484`
9×	`cancel-sign-sub-inv_binary64_20504`
6×	`flip3--_binary64_20542` `flip--_binary64_20513` `associate-/r*_binary64_20482`
5×	`add-log-exp_binary64_20577` `div-inv_binary64_20535`
4×	`associate-/l*_binary64_20483`
3×	`pow1_binary64_20599` `div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `distribute-rgt-out--_binary64_20492`
2×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `difference-of-squares_binary64_20507`
1×	`prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `diff-log_binary64_20630` `frac-sub_binary64_20547` `sub-div_binary64_20545` `sub-neg_binary64_20531` `distribute-lft-out--_binary64_20490`

Counts

3 → 80

Calls

3 calls:

16.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
6.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
4.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2232 to 336 computations (84.9% saved)

series909.0ms (11%)

Error

2.7b

Counts

3 → 50

Calls

3 calls:

403.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
358.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
118.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2403 to 1458 computations (39.3% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5255	2421

prune98.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	8	4	12
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Error

0.0b

Counts

143 → 8

Compiler

Compiled 2777 to 394 computations (85.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
3.0b	(/.f64 x (-.f64 t (*.f64 z a)))
3.9b	(/.f64 (-.f64 t (*.f64 z a)) y)
7.8b	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))

rewrite263.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

170×	`times-frac_binary64_20544`
118×	`add-sqr-sqrt_binary64_20560`
103×	`*-un-lft-identity_binary64_20538`
97×	`add-cube-cbrt_binary64_20573`
44×	`cancel-sign-sub-inv_binary64_20504`
19×	`associate-/r*_binary64_20482`
13×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
11×	`div-inv_binary64_20535`
9×	`associate-/l*_binary64_20483`
6×	`add-log-exp_binary64_20577` `difference-of-squares_binary64_20507`
5×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572`
4×	`pow1_binary64_20599` `associate-/r/_binary64_20484`
3×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `flip3--_binary64_20542` `flip--_binary64_20513`
2×	`associate-/l/_binary64_20485` `distribute-lft-out--_binary64_20490`
1×	`div-sub_binary64_20543` `diff-log_binary64_20630` `frac-sub_binary64_20547` `sub-neg_binary64_20531`

Counts

4 → 193

Calls

4 calls:

54.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
7.0ms	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))
5.0ms	(/.f64 (-.f64 t (*.f64 z a)) y)
5.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 5769 to 887 computations (84.6% saved)

series892.0ms (10.8%)

Error

0.0b

Counts

4 → 71

Calls

4 calls:

403.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 z (/.f64 (-.f64 t (.f64 z a)) y)))
199.0ms	(/.f64 (-.f64 t (*.f64 z a)) y)
135.0ms	(/.f64 z (/.f64 (-.f64 t (*.f64 z a)) y))
115.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 3349 to 1943 computations (42% saved)

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4996	5712
1	4996	5712

prune187.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	264	8	272

Error

0.0b

Counts

272 → 8

Compiler

Compiled 6235 to 712 computations (88.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
3.0b	(/.f64 x (-.f64 t (*.f64 z a)))
3.9b	(/.f64 y (-.f64 t (*.f64 z a)))
7.9b	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))

rewrite134.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64_20560`
28×	`add-cube-cbrt_binary64_20573` `*-un-lft-identity_binary64_20538` `times-frac_binary64_20544`
15×	`associate-r_binary64_20478`
13×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
6×	`pow1_binary64_20599` `add-log-exp_binary64_20577` `associate-/r/_binary64_20484` `associate-/l_binary64_20483` `associate-/r_binary64_20482`
4×	`flip3--_binary64_20542` `flip--_binary64_20513`
3×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `associate-r/_binary64_20480` `associate-l*_binary64_20479` `div-inv_binary64_20535`
2×	`prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `unswap-sqr_binary64_20506` `frac-2neg_binary64_20549` `clear-num_binary64_20537`
1×	`pow-prod-down_binary64_20609` `*-commutative_binary64_20469` `diff-log_binary64_20630` `frac-sub_binary64_20547` `sub-div_binary64_20545` `sub-neg_binary64_20531` `cancel-sign-sub-inv_binary64_20504`

Counts

4 → 106

Calls

4 calls:

9.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))
9.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
5.0ms	(/.f64 y (-.f64 t (*.f64 z a)))
5.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2882 to 453 computations (84.3% saved)

series788.0ms (9.5%)

Error

0.0b

Counts

4 → 62

Calls

4 calls:

398.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
122.0ms	(/.f64 y (-.f64 t (*.f64 z a)))
121.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))
110.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 3062 to 1851 computations (39.5% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5063	2796

prune115.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	168	8	176

Error

0.0b

Counts

176 → 8

Compiler

Compiled 3522 to 433 computations (87.7% saved)

regimes819.0ms (9.9%)

Accuracy

Total 3.4b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 7412 to 4770 computations (35.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	147	195
1	147	195

end0.0ms (0%)

sample1.7s (20.4%)

Algorithm

1×

intervals

Results

312.0ms	8000×	body	128	valid
25.0ms	733×	body	128	invalid

Compiler

Compiled 1401 to 849 computations (39.4% saved)

Details

analyze1.1s (13.1%)

sample30.0ms (0.4%)

simplify181.0ms (2.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite65.0ms (0.8%)

series443.0ms (5.4%)

simplify79.0ms (1%)

prune79.0ms (1%)

localize9.0ms (0.1%)

rewrite106.0ms (1.3%)

series909.0ms (11%)

simplify72.0ms (0.9%)

prune98.0ms (1.2%)

localize9.0ms (0.1%)

rewrite263.0ms (3.2%)

series892.0ms (10.8%)

simplify108.0ms (1.3%)

prune187.0ms (2.3%)

localize10.0ms (0.1%)

rewrite134.0ms (1.6%)

series788.0ms (9.5%)

simplify77.0ms (0.9%)

prune115.0ms (1.4%)

regimes819.0ms (9.9%)

bsearch3.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.7s (20.4%)

Profiling