Details

analyze2.8s (18.4%)

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)

sample95.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	248×	body	128	invalid
16.0ms	256×	body	128	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify577.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (571.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune4.0ms (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

7.9b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
10.5b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite115.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

14×	`associate-*l/_binary64_17412`
10×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
8×	`add-log-exp_binary64_17508` `add-sqr-sqrt_binary64_17491`
6×	`add-cube-cbrt_binary64_17504` `-un-lft-identity_binary64_17469` `flip3-+_binary64_17472` `flip-+_binary64_17443` `associate-r*_binary64_17409`
4×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `associate-l_binary64_17410` `frac-sub_binary64_17478`
2×	`*-commutative_binary64_17400` `diff-log_binary64_17561`
1×	`unswap-sqr_binary64_17437` `sum-log_binary64_17560` `flip3--_binary64_17473` `sub-neg_binary64_17462` `flip--_binary64_17444` `cancel-sign-sub-inv_binary64_17435` `associate--l+_binary64_17406`

Counts

3 → 58

Calls

3 calls:

16.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 1901 to 407 computations (78.6% saved)

series1.6s (10.5%)

Error

0.7b

Counts

3 → 90

Calls

3 calls:

1.0s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
322.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
163.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 4211 to 3165 computations (24.8% saved)

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4972	2773
1	4972	2773

prune160.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	6	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Error

0.7b

Counts

149 → 7

Compiler

Compiled 3299 to 711 computations (78.4% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
4.5b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite79.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

7×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `add-cbrt-cube_binary64_17505`
6×	`associate-*l/_binary64_17412`
5×	`flip3-+_binary64_17472` `flip-+_binary64_17443`
4×	`frac-sub_binary64_17478`
3×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `add-cube-cbrt_binary64_17504` `cbrt-unprod_binary64_17502` `add-sqr-sqrt_binary64_17491` `-un-lft-identity_binary64_17469` `associate-l*_binary64_17410`
2×	`diff-log_binary64_17561`
1×	`associate-r_binary64_17409` `*-commutative_binary64_17400` `sum-log_binary64_17560` `flip3--_binary64_17473` `sub-neg_binary64_17462` `flip--_binary64_17444` `cancel-sign-sub-inv_binary64_17435` `associate--l+_binary64_17406`

Counts

2 → 38

Calls

2 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

Compiler

Compiled 1373 to 275 computations (80% saved)

series1.4s (9%)

Error

0.7b

Counts

2 → 72

Calls

2 calls:

985.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
328.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

Compiler

Compiled 3354 to 2534 computations (24.4% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5798	2369

prune327.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	110	7	117

Error

0.7b

Counts

117 → 7

Compiler

Compiled 2469 to 525 computations (78.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
0.8b	(.f64 i (+.f64 a (.f64 b c)))
2.4b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

rewrite117.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

14×	`associate-*r/_binary64_17411`
10×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
9×	`distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
8×	`add-log-exp_binary64_17508` `add-sqr-sqrt_binary64_17491`
6×	`add-cube-cbrt_binary64_17504` `-un-lft-identity_binary64_17469` `flip3-+_binary64_17472` `flip-+_binary64_17443` `associate-l*_binary64_17410`
4×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `associate-r_binary64_17409` `frac-sub_binary64_17478` `associate--r+_binary64_17405`
2×	`*-commutative_binary64_17400` `diff-log_binary64_17561`
1×	`unswap-sqr_binary64_17437` `sum-log_binary64_17560` `flip3--_binary64_17473` `sub-neg_binary64_17462` `flip--_binary64_17444` `cancel-sign-sub-inv_binary64_17435` `associate--l+_binary64_17406`

Counts

3 → 68

Calls

3 calls:

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

Compiler

Compiled 2127 to 460 computations (78.4% saved)

series1.6s (10.3%)

Error

0.7b

Counts

3 → 93

Calls

3 calls:

1.1s	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
263.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
180.0ms	(.f64 i (+.f64 a (.f64 b c)))

Compiler

Compiled 4382 to 3190 computations (27.2% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5125	2967

prune141.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	161	7	168

Error

0.7b

Counts

168 → 7

Compiler

Compiled 3543 to 723 computations (79.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a (.f64 i c)))
0.9b	(.f64 (.f64 (*.f64 b c) i) c)
3.4b	(.f64 a (.f64 i c))
4.0b	(.f64 (.f64 b c) i)

rewrite215.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`pow1_binary64_17530` `add-exp-log_binary64_17507` `add-cbrt-cube_binary64_17505`
12×	`pow-prod-down_binary64_17540` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`
9×	`add-log-exp_binary64_17508`
7×	`add-cube-cbrt_binary64_17504` `add-sqr-sqrt_binary64_17491` `-un-lft-identity_binary64_17469` `associate-r*_binary64_17409`
5×	`associate-l_binary64_17410`
3×	`*-commutative_binary64_17400`
2×	`diff-log_binary64_17561`
1×	`sum-log_binary64_17560` `flip3--_binary64_17473` `sub-neg_binary64_17462` `flip--_binary64_17444` `cancel-sign-sub-inv_binary64_17435` `associate--l+_binary64_17406`

Counts

4 → 71

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a (.f64 i c)))
13.0ms	(.f64 (.f64 (*.f64 b c) i) c)
9.0ms	(.f64 a (.f64 i c))
9.0ms	(.f64 (.f64 b c) i)

Compiler

Compiled 2124 to 459 computations (78.4% saved)

series928.0ms (6%)

Error

0.7b

Counts

4 → 69

Calls

4 calls:

514.0ms	(-.f64 (+.f64 (.f64 t z) (.f64 x y)) (.f64 a (.f64 i c)))
127.0ms	(.f64 (.f64 (*.f64 b c) i) c)
121.0ms	(.f64 a (.f64 i c))
103.0ms	(.f64 (.f64 b c) i)

Compiler

Compiled 3978 to 2521 computations (36.6% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5879	1716

prune125.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	140	7	147

Error

Counts

147 → 7

Compiler

Compiled 3385 to 551 computations (83.7% saved)

regimes1.5s (9.8%)

Accuracy

Total 1.4b remaining (98.2%)

Threshold costs 0b (0%)

Compiler

Compiled 14647 to 13712 computations (6.4% saved)

bsearch0.0ms (0%)

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	98	34
1	98	34

Remove

(sort z t)

(sort x y)

Compiler

Compiled 92 to 76 computations (17.4% saved)

end0.0ms (0%)

sample3.1s (20.2%)

Algorithm

1×

intervals

Results

597.0ms	8000×	body	128	valid
526.0ms	6930×	body	128	invalid

Compiler

Compiled 927 to 861 computations (7.1% saved)

Details

analyze2.8s (18.4%)

sample95.0ms (0.6%)

simplify577.0ms (3.7%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite115.0ms (0.7%)

series1.6s (10.5%)

simplify124.0ms (0.8%)

prune160.0ms (1%)

localize14.0ms (0.1%)

rewrite79.0ms (0.5%)

series1.4s (9%)

simplify50.0ms (0.3%)

prune327.0ms (2.1%)

localize14.0ms (0.1%)

rewrite117.0ms (0.8%)

series1.6s (10.3%)

simplify88.0ms (0.6%)

prune141.0ms (0.9%)

localize26.0ms (0.2%)

rewrite215.0ms (1.4%)

series928.0ms (6%)

simplify112.0ms (0.7%)

prune125.0ms (0.8%)

regimes1.5s (9.8%)

bsearch0.0ms (0%)

simplify33.0ms (0.2%)

end0.0ms (0%)

sample3.1s (20.2%)

Profiling