Details

analyze843.0ms (15.7%)

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)

sample71.0ms (1.3%)

Algorithm

1×

intervals

Results

44.0ms	141×	body	2048	valid
15.0ms	69×	body	1024	valid
3.0ms	21×	body	512	valid
1.0ms	10×	body	256	valid
1.0ms	15×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify238.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

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: 0.4b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2165`
19×	`*-un-lft-identity_binary64_2143`
18×	`times-frac_binary64_2149`
15×	`add-cube-cbrt_binary64_2178`
10×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
8×	`pow1_binary64_2204` `difference-of-squares_binary64_2112`
6×	`associate-/r*_binary64_2087`
4×	`difference-of-sqr-1_binary64_2113`
3×	`add-log-exp_binary64_2182` `associate-/l_binary64_2088` `cbrt-unprod_binary64_2176` `associate-l*_binary64_2084` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`flip--_binary64_2118` `associate-/r/_binary64_2089` `flip3--_binary64_2147` `associate-/l/_binary64_2090`
1×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `associate-r_binary64_2083` `div-inv_binary64_2140` `acos-asin_binary64_2324` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074` `div-exp_binary64_2194` `frac-2neg_binary64_2154` `div-sub_binary64_2148`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series117.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
32.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4940	1788
1	4940	1788

prune134.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.4b

Counts

81 → 4

Compiler

Compiled 2647 to 1756 computations (33.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0b	(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.1b	(.f64 5 (.f64 v v))
0.4b	(asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2165`
23×	`*-un-lft-identity_binary64_2143`
19×	`times-frac_binary64_2149`
17×	`add-cube-cbrt_binary64_2178`
11×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
10×	`difference-of-squares_binary64_2112`
9×	`pow1_binary64_2204`
6×	`add-log-exp_binary64_2182` `associate-/r*_binary64_2087`
4×	`difference-of-sqr-1_binary64_2113`
3×	`flip--_binary64_2118` `associate-/l_binary64_2088` `cbrt-unprod_binary64_2176` `associate-l*_binary64_2084` `flip3--_binary64_2147` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192` `cancel-sign-sub-inv_binary64_2109`
2×	`associate-/r/_binary64_2089` `asin-acos_binary64_2323` `associate-/l/_binary64_2090`
1×	`cbrt-undiv_binary64_2177` `diff-log_binary64_2235` `clear-num_binary64_2142` `associate--r-_binary64_2082` `sub-neg_binary64_2136` `associate-r_binary64_2083` `distribute-lft-out--_binary64_2095` `div-inv_binary64_2140` `unswap-sqr_binary64_2111` `*-commutative_binary64_2074` `div-exp_binary64_2194` `frac-2neg_binary64_2154` `div-sub_binary64_2148`

Counts

4 → 89

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
9.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series188.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
55.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
42.0ms	(.f64 5 (.f64 v v))
24.0ms	(asin.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5323	2579

prune133.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	101	4	105

Merged error: 0.4b

Counts

105 → 4

Compiler

Compiled 2810 to 1849 computations (34.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
2.7b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_2143`
51×	`add-sqr-sqrt_binary64_2165`
42×	`times-frac_binary64_2149`
30×	`difference-of-squares_binary64_2112`
21×	`add-cube-cbrt_binary64_2178`
17×	`pow1_binary64_2204`
14×	`distribute-lft-out--_binary64_2095`
11×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
10×	`log-pow_binary64_2232`
8×	`difference-of-sqr-1_binary64_2113`
7×	`associate-/l*_binary64_2088`
6×	`associate-/r*_binary64_2087`
5×	`add-log-exp_binary64_2182`
3×	`log-prod_binary64_2229` `cbrt-unprod_binary64_2176` `associate-l_binary64_2084` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`flip--_binary64_2118` `associate-/r/_binary64_2089` `flip3--_binary64_2147` `associate-/l/_binary64_2090`
1×	`cbrt-undiv_binary64_2177` `clear-num_binary64_2142` `rem-log-exp_binary64_2184` `exp-prod_binary64_2195` `associate-r_binary64_2083` `div-inv_binary64_2140` `acos-asin_binary64_2324` `unswap-sqr_binary64_2111` `exp-to-pow_binary64_2205` `*-commutative_binary64_2074` `div-exp_binary64_2194` `frac-2neg_binary64_2154` `div-sub_binary64_2148`

Counts

4 → 113

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
7.0ms	(.f64 5 (.f64 v v))
2.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

series313.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
102.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
32.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4883	2911
1	4883	2911

prune143.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0.4b

Counts

129 → 4

Compiler

Compiled 2858 to 1864 computations (34.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
0.1b	(.f64 5 (.f64 v v))
0.4b	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

rewrite56.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`times-frac_binary64_2149`
60×	`add-sqr-sqrt_binary64_2165`
59×	`*-un-lft-identity_binary64_2143`
54×	`cbrt-prod_binary64_2174`
48×	`unpow-prod-down_binary64_2222` `cube-prod_binary64_2171`
47×	`add-cube-cbrt_binary64_2178`
24×	`difference-of-squares_binary64_2112`
12×	`add-exp-log_binary64_2181` `difference-of-sqr-1_binary64_2113` `add-cbrt-cube_binary64_2179`
10×	`pow1_binary64_2204`
8×	`associate-/r/_binary64_2089`
4×	`add-log-exp_binary64_2182` `flip--_binary64_2118` `div-inv_binary64_2140` `flip3--_binary64_2147`
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` `rem-cube-cbrt_binary64_2166` `pow-exp_binary64_2211` `cube-div_binary64_2172`
1×	`cbrt-undiv_binary64_2177` `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` `cbrt-div_binary64_2175` `div-exp_binary64_2194` `pow1/3_binary64_2225`

Counts

4 → 159

Calls

4 calls:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
14.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
7.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

series203.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)
65.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3))
32.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)) 3)))

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5167	4938

prune226.0ms (4.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	171	4	175

Merged error: 0.4b

Counts

175 → 4

Compiler

Compiled 4227 to 2862 computations (32.3% saved)

regimes45.0ms (0.8%)

Compiler: Compiled 454 to 324 computations (28.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	28
1	81	28

end0.0ms (0%)

sample2.2s (41.1%)

Algorithm

1×

intervals

Results

1.3s	3992×	body	2048	valid
429.0ms	1964×	body	1024	valid
156.0ms	1028×	body	512	valid
53.0ms	520×	body	256	valid
30.0ms	496×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 131 to 96 computations (26.7% saved)

Details

analyze843.0ms (15.7%)

sample71.0ms (1.3%)

simplify238.0ms (4.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite25.0ms (0.5%)

series117.0ms (2.2%)

simplify74.0ms (1.4%)

prune134.0ms (2.5%)

localize11.0ms (0.2%)

rewrite39.0ms (0.7%)

series188.0ms (3.5%)

simplify74.0ms (1.4%)

prune133.0ms (2.5%)

localize10.0ms (0.2%)

rewrite37.0ms (0.7%)

series313.0ms (5.8%)

simplify69.0ms (1.3%)

prune143.0ms (2.7%)

localize12.0ms (0.2%)

rewrite56.0ms (1%)

series203.0ms (3.8%)

simplify96.0ms (1.8%)

prune226.0ms (4.2%)

regimes45.0ms (0.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (41.1%)

Profiling