Details

analyze1.1s (21.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	123×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238`
2×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182`
1×	`associate-+l+_binary64_3080`

Counts

2 → 24

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series103.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
37.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5019	546

prune30.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Error

0.0b

Counts

31 → 5

Compiler

Compiled 630 to 157 computations (75.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`frac-times_binary64_3157` `unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `pow-prod-up_binary64_3217` `associate-r/_binary64_3089` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series574.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
135.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
135.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
132.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5018	2183

prune106.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Error

0.0b

Counts

104 → 5

Compiler

Compiled 3681 to 678 computations (81.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.8b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
4.8b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
36.7b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite56.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_3147`
16×	`distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
15×	`times-frac_binary64_3153` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow1_binary64_3208`
8×	`cancel-sign-sub-inv_binary64_3113` `sub-neg_binary64_3140` `associate-+r+_binary64_3079` `add-log-exp_binary64_3186`
5×	`sum-cubes_binary64_3148` `distribute-lft-out_binary64_3098` `associate-/l*_binary64_3092`
4×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `associate-*r/_binary64_3089`
3×	`pow-prod-down_binary64_3218` `associate-/r_binary64_3091` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-l*_binary64_3088`
2×	`associate-/l/_binary64_3094` `+-commutative_binary64_3077` `associate-/r/_binary64_3093` `sum-log_binary64_3238`
1×	`-commutative_binary64_3078` `flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `associate-r*_binary64_3087` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144`

Counts

4 → 99

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
10.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
9.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

series504.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
168.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
92.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
72.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5047	3991

prune167.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	111	5	116

Error

Counts

116 → 5

Compiler

Compiled 5098 to 1498 computations (70.6% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.8b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
23.3b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
23.3b	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
24.7b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))

rewrite49.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3169`
22×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
18×	`times-frac_binary64_3153` `sqrt-prod_binary64_3163`
14×	`pow1_binary64_3208`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
6×	`associate-/r*_binary64_3091` `sqrt-div_binary64_3164`
4×	`cancel-sign-sub-inv_binary64_3113` `flip-+_binary64_3121` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `add-log-exp_binary64_3186` `associate-*r/_binary64_3089`
3×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `sqrt-pow1_binary64_3165` `pow1/2_binary64_3227` `cbrt-unprod_binary64_3180` `associate-/l_binary64_3092` `associate-l*_binary64_3088`
2×	`associate-/l/_binary64_3094` `rem-sqrt-square_binary64_3160` `pow-div_binary64_3222` `associate-/r/_binary64_3093`
1×	`-commutative_binary64_3078` `flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `associate-r*_binary64_3087` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144`

Counts

4 → 103

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))
9.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
4.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

series508.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y)))))))
145.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
142.0ms	(sqrt.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
69.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	4628
1	4974	4628

prune242.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Error

Counts

120 → 5

Compiler

Compiled 8843 to 2196 computations (75.2% saved)

regimes302.0ms (5.5%)

Accuracy

Total 0.0b remaining (50.2%)

Threshold costs 0.0b (50.2%)

Compiler

Compiled 3839 to 2475 computations (35.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms (0%)

sample1.1s (20.4%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
143.0ms	4008×	body	128	invalid

Compiler

Compiled 366 to 240 computations (34.4% saved)

Details

analyze1.1s (21.1%)

sample28.0ms (0.5%)

simplify95.0ms (1.7%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite15.0ms (0.3%)

series103.0ms (1.9%)

simplify66.0ms (1.2%)

prune30.0ms (0.5%)

localize12.0ms (0.2%)

rewrite31.0ms (0.6%)

series574.0ms (10.5%)

simplify73.0ms (1.3%)

prune106.0ms (1.9%)

localize19.0ms (0.3%)

rewrite56.0ms (1%)

series504.0ms (9.3%)

simplify87.0ms (1.6%)

prune167.0ms (3.1%)

localize24.0ms (0.4%)

rewrite49.0ms (0.9%)

series508.0ms (9.3%)

simplify85.0ms (1.6%)

prune242.0ms (4.4%)

regimes302.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (20.4%)

Profiling