Details

analyze1.6s (18.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4620	154
1	4620	154
0	4	4
1	4	4

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
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
3.0ms	61×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4889	19
1	4889	19

prune4.0ms (0.1%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 43 to 41 computations (4.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.2b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite125.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`*-un-lft-identity_binary64_22925`
12×	`add-cube-cbrt_binary64_22960` `add-sqr-sqrt_binary64_22947` `times-frac_binary64_22931`
10×	`add-log-exp_binary64_22964`
8×	`distribute-lft-out_binary64_22876`
5×	`add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961`
4×	`flip3-+_binary64_22928` `flip-+_binary64_22899` `associate-/l*_binary64_22870` `sum-log_binary64_23016`
3×	`pow1_binary64_22986` `associate-/r*_binary64_22869`
2×	`associate-/l/_binary64_22872` `frac-add_binary64_22933` `+-commutative_binary64_22855`
1×	`div-exp_binary64_22976` `cbrt-undiv_binary64_22959` `frac-2neg_binary64_22936` `clear-num_binary64_22924` `div-inv_binary64_22922` `associate-+r+_binary64_22857`

Counts

3 → 62

Calls

3 calls:

17.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
14.0ms	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
8.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 1483 to 1015 computations (31.6% saved)

series654.0ms (7.6%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

367.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
138.0ms	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
112.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

Compiler

Compiled 1698 to 1448 computations (14.7% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5688	1915

prune124.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Error

Counts

109 → 8

Compiler

Compiled 2076 to 1375 computations (33.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t)))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
0.2b	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

rewrite127.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_22947`
16×	`*-un-lft-identity_binary64_22925`
13×	`associate-r_binary64_22865`
12×	`add-exp-log_binary64_22963`
11×	`add-cube-cbrt_binary64_22960` `times-frac_binary64_22931`
10×	`add-log-exp_binary64_22964`
8×	`add-cbrt-cube_binary64_22961`
5×	`pow1_binary64_22986` `flip3-+_binary64_22928` `flip-+_binary64_22899`
4×	`prod-exp_binary64_22974` `associate-l_binary64_22866` `sum-log_binary64_23016`
3×	`unswap-sqr_binary64_22893`
2×	`div-exp_binary64_22976` `cbrt-unprod_binary64_22958` `frac-times_binary64_22935` `associate-*l/_binary64_22868` `distribute-lft-out_binary64_22876` `frac-add_binary64_22933` `+-commutative_binary64_22855`
1×	`pow-prod-down_binary64_22996` `1-exp_binary64_22969` `rec-exp_binary64_22975` `cbrt-undiv_binary64_22959` `un-div-inv_binary64_22923` `associate-r/_binary64_22867` `div-inv_binary64_22922` `-commutative_binary64_22856` `associate-+r+_binary64_22857`

Counts

3 → 68

Calls

3 calls:

14.0ms	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))
9.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
3.0ms	(+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t)))

Compiler

Compiled 1820 to 1325 computations (27.2% saved)

series664.0ms (7.7%)

Error

Counts

3 → 45

Calls

3 calls:

390.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
145.0ms	(+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t)))
99.0ms	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

Compiler

Compiled 1698 to 1448 computations (14.7% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5000	1842

prune117.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	114	7	121

Error

Counts

121 → 7

Compiler

Compiled 2105 to 1434 computations (31.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t)))
0.6b	(cbrt.f64 (/.f64 1 t))
0.6b	(cbrt.f64 (/.f64 1 t))
0.6b	(cbrt.f64 (/.f64 1 t))

rewrite359.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`cbrt-prod_binary64_22956`
97×	`add-sqr-sqrt_binary64_22947`
79×	`times-frac_binary64_22931`
67×	`*-un-lft-identity_binary64_22925`
57×	`add-cube-cbrt_binary64_22960`
18×	`swap-sqr_binary64_22892`
16×	`unswap-sqr_binary64_22893` `associate-l_binary64_22866` `associate-r_binary64_22865`
11×	`pow1_binary64_22986`
9×	`pow1/3_binary64_23007` `div-inv_binary64_22922`
7×	`cbrt-div_binary64_22957`
6×	`add-exp-log_binary64_22963`
4×	`add-log-exp_binary64_22964` `add-cbrt-cube_binary64_22961`
2×	`pow-prod-down_binary64_22996` `pow-prod-up_binary64_22995` `pow-sqr_binary64_22898`
1×	`pow2_binary64_23006` `pow-plus_binary64_22988` `prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `frac-times_binary64_22935` `associate-l/_binary64_22868` `associate-r/_binary64_22867` `*-commutative_binary64_22856`

Counts

4 → 153

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t)))
3.0ms	(cbrt.f64 (/.f64 1 t))
2.0ms	(cbrt.f64 (/.f64 1 t))
2.0ms	(cbrt.f64 (/.f64 1 t))

Compiler

Compiled 5287 to 3911 computations (26% saved)

series334.0ms (3.9%)

Error

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t)))
82.0ms	(cbrt.f64 (/.f64 1 t))
74.0ms	(cbrt.f64 (/.f64 1 t))
73.0ms	(cbrt.f64 (/.f64 1 t))

Compiler

Compiled 987 to 869 computations (12% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5453	2626

prune284.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	165	7	172

Error

Counts

172 → 7

Compiler

Compiled 5409 to 3980 computations (26.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
0.0b	(.f64 (.f64 z 2) (-.f64 1 t))
0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
8.1b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

rewrite137.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_22925`
14×	`add-exp-log_binary64_22963` `add-cbrt-cube_binary64_22961` `add-sqr-sqrt_binary64_22947`
12×	`cancel-sign-sub-inv_binary64_22891`
11×	`add-cube-cbrt_binary64_22960`
9×	`pow1_binary64_22986`
8×	`add-log-exp_binary64_22964` `distribute-rgt-in_binary64_22875` `distribute-lft-in_binary64_22874` `associate-+r+_binary64_22857`
6×	`associate-r_binary64_22865`
4×	`prod-exp_binary64_22974` `cbrt-unprod_binary64_22958` `sub-neg_binary64_22918`
3×	`times-frac_binary64_22931` `flip3-+_binary64_22928` `flip-+_binary64_22899` `associate-/l*_binary64_22870` `pow-prod-down_binary64_22996`
2×	`div-exp_binary64_22976` `cbrt-undiv_binary64_22959` `associate-/l/_binary64_22872` `sum-log_binary64_23016` `+-commutative_binary64_22855` `associate-*r/_binary64_22867` `difference-of-squares_binary64_22894`
1×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `div-inv_binary64_22922` `associate-/r_binary64_22869` `frac-add_binary64_22933` `distribute-lft-out_binary64_22876` `flip3--_binary64_22929` `flip--_binary64_22900` `associate-l_binary64_22866` `distribute-lft-out--_binary64_22877` `-commutative_binary64_22856`

Counts

4 → 86

Calls

4 calls:

12.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
9.0ms	(.f64 (.f64 z 2) (-.f64 1 t))
6.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
4.0ms	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))

Compiler

Compiled 2365 to 1419 computations (40% saved)

series788.0ms (9.1%)

Error

Counts

4 → 57

Calls

4 calls:

363.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
198.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
110.0ms	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
79.0ms	(.f64 (.f64 z 2) (-.f64 1 t))

Compiler

Compiled 2250 to 1759 computations (21.8% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5320	2339

prune133.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	144	6	150

Error

Counts

150 → 6

Compiler

Compiled 2790 to 1558 computations (44.2% saved)

regimes742.0ms (8.6%)

Accuracy

Total 0.1b remaining (95.9%)

Threshold costs 0.1b (95.9%)

Compiler

Compiled 9192 to 8282 computations (9.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	22
1	18	22

end0.0ms (0%)

sample2.0s (23.5%)

Algorithm

1×

intervals

Results

393.0ms	8000×	body	128	valid
104.0ms	2221×	body	128	invalid

Compiler

Compiled 1330 to 1200 computations (9.8% saved)

Details

analyze1.6s (18.3%)

sample34.0ms (0.4%)

simplify93.0ms (1.1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite125.0ms (1.4%)

series654.0ms (7.6%)

simplify76.0ms (0.9%)

prune124.0ms (1.4%)

localize10.0ms (0.1%)

rewrite127.0ms (1.5%)

series664.0ms (7.7%)

simplify62.0ms (0.7%)

prune117.0ms (1.3%)

localize17.0ms (0.2%)

rewrite359.0ms (4.2%)

series334.0ms (3.9%)

simplify76.0ms (0.9%)

prune284.0ms (3.3%)

localize11.0ms (0.1%)

rewrite137.0ms (1.6%)

series788.0ms (9.1%)

simplify50.0ms (0.6%)

prune133.0ms (1.5%)

regimes742.0ms (8.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (23.5%)

Profiling