Details

analyze4.3s (16.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5144	812
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 20 to 19 computations (5% saved)

sample154.0ms (0.6%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
23.0ms	217×	body	128	invalid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify872.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (861.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.1b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
9.4b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite218.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

14×	`associate-*l/_binary64_18094`
11×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-log-exp_binary64_18190` `add-cbrt-cube_binary64_18187`
9×	`add-sqr-sqrt_binary64_18173`
7×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151` `flip3-+_binary64_18154` `flip-+_binary64_18125`
6×	`associate-r_binary64_18091`
4×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-l_binary64_18092` `frac-sub_binary64_18160`
2×	`*-commutative_binary64_18082` `sum-log_binary64_18242` `diff-log_binary64_18243`
1×	`unswap-sqr_binary64_18119` `+-commutative_binary64_18081` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `cancel-sign-sub-inv_binary64_18117` `associate--l+_binary64_18088`

Counts

4 → 69

Calls

4 calls:

21.0ms	(.f64 (+.f64 a (.f64 b c)) c)
17.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
13.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
8.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2211 to 463 computations (79.1% saved)

series2.6s (9.9%)

Error

1.0b

Counts

4 → 114

Calls

4 calls:

1.5s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
405.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
282.0ms	(+.f64 (.f64 x y) (.f64 z t))
243.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 5255 to 3842 computations (26.9% saved)

simplify142.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5008	3128

prune291.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	9	184

Error

1.0b

Counts

184 → 9

Compiler

Compiled 4029 to 853 computations (78.8% saved)

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
4.2b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite132.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

10×	`add-log-exp_binary64_18190`
8×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
6×	`flip3-+_binary64_18154` `associate-*l/_binary64_18094` `flip-+_binary64_18125`
4×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151` `frac-sub_binary64_18160`
3×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-l_binary64_18092`
2×	`sum-log_binary64_18242` `diff-log_binary64_18243`
1×	`associate-r_binary64_18091` `*-commutative_binary64_18082` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `cancel-sign-sub-inv_binary64_18117` `associate--l+_binary64_18088` `+-commutative_binary64_18081`

Counts

3 → 49

Calls

3 calls:

16.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
13.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
7.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1683 to 331 computations (80.3% saved)

series2.3s (9%)

Error

1.0b

Counts

3 → 96

Calls

3 calls:

1.5s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
412.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
290.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 4398 to 3209 computations (27% saved)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5871	2724

prune215.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	145	9	154

Error

1.0b

Counts

154 → 9

Compiler

Compiled 3199 to 668 computations (79.1% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 i)
1.3b	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
1.9b	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
2.3b	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))

rewrite253.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

32×	`pow1_binary64_18212` `add-exp-log_binary64_18189`
22×	`add-cbrt-cube_binary64_18187`
19×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
10×	`add-sqr-sqrt_binary64_18173`
9×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
8×	`associate-l/_binary64_18094` `associate-r*_binary64_18091`
7×	`associate-l_binary64_18092`
6×	`cbrt-prod_binary64_18182`
4×	`add-log-exp_binary64_18190` `associate-*r/_binary64_18093`
3×	`flip3-+_binary64_18154` `flip-+_binary64_18125` `*-commutative_binary64_18082`
1×	`unswap-sqr_binary64_18119` `pow1/3_binary64_18233`

Counts

4 → 84

Calls

4 calls:

31.0ms	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))
23.0ms	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
23.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
2.0ms	(cbrt.f64 i)

Compiler

Compiled 2929 to 565 computations (80.7% saved)

series2.9s (11.2%)

Error

1.0b

Counts

4 → 66

Calls

4 calls:

1.2s	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
1.0s	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
490.0ms	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))
126.0ms	(cbrt.f64 i)

Compiler

Compiled 4479 to 3349 computations (25.2% saved)

simplify174.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	5007	2099

prune281.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	150	9	159

Error

1.0b

Counts

159 → 9

Compiler

Compiled 3958 to 1205 computations (69.6% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
1.0b	(.f64 i (+.f64 a (.f64 b c)))
5.4b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

rewrite184.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

14×	`associate-*r/_binary64_18093`
11×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-log-exp_binary64_18190` `add-cbrt-cube_binary64_18187`
9×	`add-sqr-sqrt_binary64_18173` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100`
7×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151` `flip3-+_binary64_18154` `flip-+_binary64_18125`
6×	`associate-l_binary64_18092`
4×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-r_binary64_18091` `frac-sub_binary64_18160` `associate--r+_binary64_18087`
2×	`*-commutative_binary64_18082` `sum-log_binary64_18242` `diff-log_binary64_18243`
1×	`unswap-sqr_binary64_18119` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `cancel-sign-sub-inv_binary64_18117` `associate--l+_binary64_18088` `+-commutative_binary64_18081`

Counts

4 → 79

Calls

4 calls:

17.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
13.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
12.0ms	(.f64 i (+.f64 a (.f64 b c)))
8.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2437 to 516 computations (78.8% saved)

series2.6s (10.1%)

Error

1.0b

Counts

4 → 117

Calls

4 calls:

1.5s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
408.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
324.0ms	(.f64 i (+.f64 a (.f64 b c)))
280.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 5426 to 3867 computations (28.7% saved)

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5172	3322

prune262.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	196	9	205

Error

1.0b

Counts

205 → 9

Compiler

Compiled 4114 to 744 computations (81.9% saved)

regimes2.6s (10.1%)

Accuracy

Total 1.0b remaining (59.6%)

Threshold costs 0b (0%)

Compiler

Compiled 17143 to 14293 computations (16.6% saved)

bsearch0.0ms (0%)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	95	28
1	95	28

Remove

(sort z t)

(sort x y)

Compiler

Compiled 76 to 72 computations (5.3% saved)

end0.0ms (0%)

sample5.0s (19.1%)

Algorithm

1×

intervals

Results

924.0ms	8000×	body	128	valid
788.0ms	7062×	body	128	invalid

Compiler

Compiled 1152 to 962 computations (16.5% saved)

Details

analyze4.3s (16.7%)

sample154.0ms (0.6%)

simplify872.0ms (3.3%)

prune6.0ms (0%)

localize29.0ms (0.1%)

rewrite218.0ms (0.8%)

series2.6s (9.9%)

simplify142.0ms (0.5%)

prune291.0ms (1.1%)

localize31.0ms (0.1%)

rewrite132.0ms (0.5%)

series2.3s (9%)

simplify100.0ms (0.4%)

prune215.0ms (0.8%)

localize39.0ms (0.2%)

rewrite253.0ms (1%)

series2.9s (11.2%)

simplify174.0ms (0.7%)

prune281.0ms (1.1%)

localize30.0ms (0.1%)

rewrite184.0ms (0.7%)

series2.6s (10.1%)

simplify145.0ms (0.6%)

prune262.0ms (1%)

regimes2.6s (10.1%)

bsearch0.0ms (0%)

simplify42.0ms (0.2%)

end0.0ms (0%)

sample5.0s (19.1%)

Profiling