Details

analyze96.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune3.0ms (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 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.2b	(*.f64 841/108 x)

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_7943`
4×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
3×	`associate-l_binary64_7862` `associate-r_binary64_7861`
1×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `unswap-sqr_binary64_7889` `*-commutative_binary64_7852` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 841/108 x)
4.0ms	(+.f64 (*.f64 841/108 x) 4/29)

Compiler

Compiled 308 to 254 computations (17.5% saved)

series58.0ms (1.8%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

35.0ms	(+.f64 (*.f64 841/108 x) 4/29)
19.0ms	(*.f64 841/108 x)

Compiler

Compiled 104 to 98 computations (5.8% saved)

simplify84.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5087	284

prune41.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Error

Counts

39 → 4

Compiler

Compiled 334 to 279 computations (16.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
0.2b	(*.f64 x (sqrt.f64 841/108))
0.3b	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

rewrite92.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_7943`
10×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957`
9×	`associate-l_binary64_7862`
8×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
7×	`sqrt-prod_binary64_7937` `associate-r_binary64_7861`
5×	`add-log-exp_binary64_7960`
4×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
2×	`*-commutative_binary64_7852` `unswap-sqr_binary64_7889`
1×	`sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

3 → 54

Calls

3 calls:

8.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
7.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
6.0ms	(*.f64 x (sqrt.f64 841/108))

Compiler

Compiled 856 to 762 computations (11% saved)

series164.0ms (5.2%)

Error

Counts

3 → 12

Calls

3 calls:

75.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
49.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))
33.0ms	(*.f64 x (sqrt.f64 841/108))

Compiler

Compiled 251 to 242 computations (3.6% saved)

simplify81.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4946	520
1	4946	520

prune67.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 705 to 616 computations (12.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.4b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite171.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_7943`
25×	`pow1_binary64_7982`
20×	`add-exp-log_binary64_7959` `cbrt-prod_binary64_7952`
15×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
13×	`associate-r_binary64_7861`
11×	`pow-prod-down_binary64_7992` `add-cbrt-cube_binary64_7957`
10×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `associate-l_binary64_7862`
6×	`pow1/3_binary64_8003` `add-log-exp_binary64_7960` `unswap-sqr_binary64_7889` `swap-sqr_binary64_7888`
3×	`*-commutative_binary64_7852`
2×	`pow-prod-up_binary64_7991` `pow-sqr_binary64_7894`
1×	`pow2_binary64_8002` `pow-plus_binary64_7984` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

4 → 95

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
10.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
6.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms	(*.f64 x (cbrt.f64 841/108))

Compiler

Compiled 1763 to 1621 computations (8.1% saved)

series213.0ms (6.7%)

Error

Counts

4 → 12

Calls

4 calls:

100.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
64.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
39.0ms	(*.f64 x (cbrt.f64 841/108))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

Compiler

Compiled 278 to 269 computations (3.2% saved)

simplify79.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4876	849
1	4876	849

prune117.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Error

Counts

111 → 4

Compiler

Compiled 1365 to 1235 computations (9.5% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.1b	(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)
0.2b	(*.f64 841/108 x)
23.0b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))

rewrite371.0ms (11.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_7943`
12×	`add-cube-cbrt_binary64_7956` `cbrt-prod_binary64_7952` `*-un-lft-identity_binary64_7921`
7×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957`
6×	`add-log-exp_binary64_7960` `unpow-prod-down_binary64_8000` `cube-prod_binary64_7949`
4×	`cube-div_binary64_7950`
3×	`flip3-+_binary64_7924` `flip-+_binary64_7895` `associate-l_binary64_7862` `associate-r_binary64_7861` `pow-unpow_binary64_7998`
2×	`cbrt-div_binary64_7953` `unpow3_binary64_7987` `cube-mult_binary64_7951` `sqr-pow_binary64_7893`
1×	`pow1/3_binary64_8003` `rem-cbrt-cube_binary64_7945` `pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `unswap-sqr_binary64_7889` `*-commutative_binary64_7852` `pow-pow_binary64_7993` `pow-to-exp_binary64_7990` `pow-exp_binary64_7989` `rem-cube-cbrt_binary64_7944` `sum-log_binary64_8012` `+-commutative_binary64_7851`

Counts

4 → 77

Calls

4 calls:

236.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
10.0ms	(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)
8.0ms	(+.f64 (*.f64 841/108 x) 4/29)
7.0ms	(*.f64 841/108 x)

Compiler

Compiled 1228 to 1079 computations (12.1% saved)

series144.0ms (4.6%)

Error

Counts

4 → 27

Calls

4 calls:

51.0ms	(pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3)
31.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 4/29) 3))
25.0ms	(+.f64 (*.f64 841/108 x) 4/29)
17.0ms	(*.f64 841/108 x)

Compiler

Compiled 519 to 473 computations (8.9% saved)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4906	1104
1	4906	1104

prune87.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 1149 to 986 computations (14.2% saved)

regimes171.0ms (5.4%)

Accuracy

Total 0.1b remaining (96.4%)

Threshold costs 0.1b (96.4%)

Compiler

Compiled 783 to 749 computations (4.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample977.0ms (30.8%)

Algorithm

1×

intervals

Results

316.0ms	7998×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 250 to 239 computations (4.4% saved)

Details

analyze96.0ms (3%)

sample20.0ms (0.6%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite39.0ms (1.2%)

series58.0ms (1.8%)

simplify84.0ms (2.6%)

prune41.0ms (1.3%)

localize5.0ms (0.2%)

rewrite92.0ms (2.9%)

series164.0ms (5.2%)

simplify81.0ms (2.6%)

prune67.0ms (2.1%)

localize9.0ms (0.3%)

rewrite171.0ms (5.4%)

series213.0ms (6.7%)

simplify79.0ms (2.5%)

prune117.0ms (3.7%)

localize6.0ms (0.2%)

rewrite371.0ms (11.7%)

series144.0ms (4.6%)

simplify63.0ms (2%)

prune87.0ms (2.8%)

regimes171.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample977.0ms (30.8%)

Profiling