Details

analyze795.0ms (12.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample73.0ms (1.1%)

Algorithm

1×

intervals

Results

43.0ms	125×	body	2048	valid
17.0ms	79×	body	1024	valid
4.0ms	23×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify232.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4904	21
1	4904	21

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

Merged error: 0.7b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_2204` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
4×	`add-sqr-sqrt_binary64_2165`
3×	`cbrt-unprod_binary64_2176` `associate-l_binary64_2084` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
2×	`add-log-exp_binary64_2182`
1×	`associate-r_binary64_2083` `acos-asin_binary64_2324` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074`

Counts

2 → 27

Calls

2 calls:

7.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series63.0ms (1%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(.f64 5 (.f64 v v))
27.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4792	456
1	4792	456

prune39.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.7b

Counts

34 → 3

Compiler

Compiled 759 to 493 computations (35% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_2165` `cbrt-prod_binary64_2174`
11×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
10×	`pow1_binary64_2204` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
6×	`unpow-prod-down_binary64_2222` `cube-prod_binary64_2171`
4×	`add-log-exp_binary64_2182`
3×	`pow-unpow_binary64_2220` `cbrt-unprod_binary64_2176` `associate-l_binary64_2084` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`cube-mult_binary64_2173` `unpow3_binary64_2209` `sqr-pow_binary64_2115`
1×	`associate-r_binary64_2083` `rem-cbrt-cube_binary64_2167` `pow-to-exp_binary64_2212` `acos-asin_binary64_2324` `pow-pow_binary64_2215` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074` `rem-cube-cbrt_binary64_2166` `pow-exp_binary64_2211` `pow1/3_binary64_2225`

Counts

4 → 71

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series226.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
33.0ms	(.f64 5 (.f64 v v))
27.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4873	1881
1	4873	1881

prune124.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	83	3	86

Merged error: 0.7b

Counts

86 → 3

Compiler

Compiled 2524 to 1708 computations (32.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3) 1/3)
0.2b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`unpow-prod-down_binary64_2222`
13×	`add-sqr-sqrt_binary64_2165`
12×	`add-exp-log_binary64_2181` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
10×	`pow1_binary64_2204` `add-cbrt-cube_binary64_2179`
6×	`pow-unpow_binary64_2220` `cube-prod_binary64_2171`
5×	`pow-exp_binary64_2211`
4×	`add-log-exp_binary64_2182`
3×	`pow-to-exp_binary64_2212` `cbrt-unprod_binary64_2176` `associate-l_binary64_2084` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `sqr-pow_binary64_2115`
2×	`cube-mult_binary64_2173` `pow-pow_binary64_2215` `unpow3_binary64_2209`
1×	`associate-r_binary64_2083` `acos-asin_binary64_2324` `unswap-sqr_binary64_2111` `unpow1/3_binary64_2210` `*-commutative_binary64_2074` `rem-cube-cbrt_binary64_2166`

Counts

4 → 79

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
4.0ms	(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3) 1/3)
4.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series743.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

527.0ms	(pow.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3) 1/3)
159.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
37.0ms	(.f64 5 (.f64 v v))
20.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4888	2098
1	4888	2098

prune114.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Merged error: 0.7b

Counts

94 → 3

Compiler

Compiled 2291 to 1549 computations (32.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_2174`
10×	`add-exp-log_binary64_2181`
8×	`add-sqr-sqrt_binary64_2165` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
6×	`pow1_binary64_2204` `add-cbrt-cube_binary64_2179`
5×	`pow-exp_binary64_2211`
4×	`add-log-exp_binary64_2182` `pow-pow_binary64_2215`
3×	`pow-unpow_binary64_2220` `prod-exp_binary64_2192` `pow1/3_binary64_2225`
2×	`unpow-prod-down_binary64_2222` `cube-prod_binary64_2171` `cube-mult_binary64_2173` `pow-to-exp_binary64_2212` `unpow3_binary64_2209` `sqr-pow_binary64_2115` `rem-cube-cbrt_binary64_2166`
1×	`unpow2_binary64_2208` `rem-cbrt-cube_binary64_2167` `pow-plus_binary64_2206` `pow-prod-up_binary64_2213` `cbrt-unprod_binary64_2176` `pow3_binary64_2226`

Counts

4 → 65

Calls

4 calls:

7.0ms	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

series931.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

373.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
352.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
172.0ms	(pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3)
33.0ms	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	2021
1	4982	2021

prune168.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	76	4	80

Merged error: 0.7b

Counts

80 → 4

Compiler

Compiled 3578 to 2418 computations (32.4% saved)

regimes64.0ms (1%)

Compiler: Compiled 918 to 644 computations (29.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	27
1	69	27

end0.0ms (0%)

sample2.3s (36.9%)

Algorithm

1×

intervals

Results

1.3s	4082×	body	2048	valid
428.0ms	1970×	body	1024	valid
152.0ms	970×	body	512	valid
50.0ms	479×	body	256	valid
29.0ms	498×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 247 to 176 computations (28.7% saved)

Details

analyze795.0ms (12.5%)

sample73.0ms (1.1%)

simplify232.0ms (3.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite10.0ms (0.2%)

series63.0ms (1%)

simplify70.0ms (1.1%)

prune39.0ms (0.6%)

localize11.0ms (0.2%)

rewrite19.0ms (0.3%)

series226.0ms (3.6%)

simplify92.0ms (1.4%)

prune124.0ms (2%)

localize13.0ms (0.2%)

rewrite24.0ms (0.4%)

series743.0ms (11.7%)

simplify81.0ms (1.3%)

prune114.0ms (1.8%)

localize15.0ms (0.2%)

rewrite21.0ms (0.3%)

series931.0ms (14.7%)

simplify69.0ms (1.1%)

prune168.0ms (2.6%)

regimes64.0ms (1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (36.9%)

Profiling