Details

analyze325.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	48
1	79	48
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	33×	body	128	nan
0.0ms	6×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 z))

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_8625`
6×	`associate-r_binary64_8543`
5×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
4×	`pow1_binary64_8664` `add-exp-log_binary64_8641` `add-log-exp_binary64_8642` `add-cbrt-cube_binary64_8639` `sqrt-prod_binary64_8619`
3×	`associate-l_binary64_8544`
2×	`unswap-sqr_binary64_8571`
1×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `cbrt-unprod_binary64_8636` `*-commutative_binary64_8534` `sum-log_binary64_8694` `flip3-+_binary64_8606` `flip-+_binary64_8577` `+-commutative_binary64_8533`

Counts

2 → 33

Calls

2 calls:

10.0ms	(*.f64 y (sqrt.f64 z))
5.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 473 to 185 computations (60.9% saved)

series191.0ms (3.5%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

97.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
74.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 438 to 359 computations (18% saved)

simplify109.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4832	481
1	4832	481

prune46.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 661 to 280 computations (57.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite121.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_8619`
25×	`add-sqr-sqrt_binary64_8625`
18×	`associate-r_binary64_8543`
15×	`pow1_binary64_8664` `add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
11×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
8×	`sqrt-pow1_binary64_8621`
4×	`pow-prod-down_binary64_8674` `prod-exp_binary64_8652` `add-log-exp_binary64_8642` `cbrt-unprod_binary64_8636` `associate-l_binary64_8544` `pow1/2_binary64_8683` `rem-sqrt-square_binary64_8616`
3×	`unswap-sqr_binary64_8571`
2×	`*-commutative_binary64_8534`

Counts

4 → 88

Calls

4 calls:

11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
11.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1648 to 515 computations (68.8% saved)

series372.0ms (6.9%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

142.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
83.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
62.0ms	(sqrt.f64 (sqrt.f64 z))
60.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 659 to 531 computations (19.4% saved)

simplify113.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5186	879

prune110.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Error

Counts

113 → 8

Compiler

Compiled 1731 to 646 computations (62.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (pow.f64 z 1/4))
0.3b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite140.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-exp-log_binary64_8641` `add-sqr-sqrt_binary64_8625` `sqrt-prod_binary64_8619`
16×	`associate-r_binary64_8543`
12×	`add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
11×	`add-cbrt-cube_binary64_8639`
10×	`prod-exp_binary64_8652`
8×	`pow1_binary64_8664`
6×	`add-log-exp_binary64_8642`
4×	`cbrt-unprod_binary64_8636` `associate-l_binary64_8544` `unpow-prod-down_binary64_8682` `sqrt-pow1_binary64_8621`
3×	`unswap-sqr_binary64_8571`
2×	`pow-to-exp_binary64_8672` `pow-exp_binary64_8671` `*-commutative_binary64_8534` `sqr-pow_binary64_8575` `pow1/2_binary64_8683` `rem-sqrt-square_binary64_8616`
1×	`pow-prod-down_binary64_8674` `sum-log_binary64_8694` `flip3-+_binary64_8606` `flip-+_binary64_8577` `+-commutative_binary64_8533`

Counts

4 → 80

Calls

4 calls:

11.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
6.0ms	(*.f64 y (pow.f64 z 1/4))
4.0ms	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1602 to 882 computations (44.9% saved)

series485.0ms (9%)

Error

Counts

4 → 30

Calls

4 calls:

213.0ms	(*.f64 y (pow.f64 z 1/4))
127.0ms	(+.f64 x (.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
68.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
59.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 918 to 768 computations (16.3% saved)

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5088	1221

prune127.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Error

Counts

118 → 8

Compiler

Compiled 1790 to 1001 computations (44.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
0.3b	(.f64 (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 z)))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))

rewrite292.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

204×	`sqrt-prod_binary64_8619`
105×	`add-sqr-sqrt_binary64_8625`
81×	`sqrt-pow1_binary64_8621`
52×	`pow1_binary64_8664`
27×	`pow1/2_binary64_8683` `add-cube-cbrt_binary64_8638` `*-un-lft-identity_binary64_8603`
24×	`swap-sqr_binary64_8570`
22×	`associate-r_binary64_8543`
21×	`rem-sqrt-square_binary64_8616`
20×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
17×	`unswap-sqr_binary64_8571`
16×	`pow-prod-down_binary64_8674` `associate-l_binary64_8544`
13×	`pow-prod-up_binary64_8673`
10×	`prod-exp_binary64_8652` `cbrt-unprod_binary64_8636`
9×	`sqr-abs_binary64_8618`
7×	`pow-sqr_binary64_8576`
4×	`add-log-exp_binary64_8642`
3×	`*-commutative_binary64_8534`
1×	`pow2_binary64_8684` `pow-plus_binary64_8666` `sqrt-unprod_binary64_8623` `rem-square-sqrt_binary64_8615`

Counts

4 → 185

Calls

4 calls:

28.0ms	(.f64 (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 z)))
23.0ms	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
23.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
3.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))

Compiler

Compiled 4924 to 1231 computations (75% saved)

series336.0ms (6.2%)

Error

Counts

4 → 18

Calls

4 calls:

157.0ms	(.f64 y (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z)))))
58.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
54.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
53.0ms	(.f64 (.f64 y (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))) (sqrt.f64 (sqrt.f64 z)))

Compiler

Compiled 708 to 554 computations (21.8% saved)

simplify107.0ms (2%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5052	1653

prune171.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	203	8	211

Error

Counts

211 → 8

Compiler

Compiled 3570 to 1116 computations (68.7% saved)

regimes541.0ms (10%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

Compiler

Compiled 4187 to 3078 computations (26.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	12	12

end0.0ms (0%)

sample1.6s (29.2%)

Algorithm

1×

intervals

Results

406.0ms	7999×	body	128	valid
47.0ms	1036×	body	128	nan
25.0ms	401×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 610 to 452 computations (25.9% saved)

Details

analyze325.0ms (6%)

sample21.0ms (0.4%)

simplify7.0ms (0.1%)

prune6.0ms (0.1%)

localize17.0ms (0.3%)

rewrite57.0ms (1%)

series191.0ms (3.5%)

simplify109.0ms (2%)

prune46.0ms (0.8%)

localize9.0ms (0.2%)

rewrite121.0ms (2.2%)

series372.0ms (6.9%)

simplify113.0ms (2.1%)

prune110.0ms (2%)

localize20.0ms (0.4%)

rewrite140.0ms (2.6%)

series485.0ms (9%)

simplify88.0ms (1.6%)

prune127.0ms (2.3%)

localize18.0ms (0.3%)

rewrite292.0ms (5.4%)

series336.0ms (6.2%)

simplify107.0ms (2%)

prune171.0ms (3.2%)

regimes541.0ms (10%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (29.2%)

Profiling