Details

analyze2.9s (23.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5056	1978
0	10	10
1	10	10

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Symmetry

(sort y z)

(sort b c)

(sort j k)

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample124.0ms (1%)

Algorithm

1×

intervals

Results

23.0ms	292×	body	128	invalid
20.0ms	256×	body	128	valid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify428.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (423.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune5.0ms (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

5.9b

Counts

2 → 1

Compiler

Compiled 60 to 57 computations (5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 x 18) y)
0.5b	(.f64 (.f64 j 27) k)
4.5b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
5.2b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite181.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

37×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
22×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
12×	`associate-r_binary64_17068`
8×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
4×	`add-log-exp_binary64_17167` `associate-l_binary64_17069` `*-commutative_binary64_17059`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3022 to 1787 computations (40.9% saved)

series510.0ms (4%)

Error

2.8b

Counts

4 → 33

Calls

4 calls:

217.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
132.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
63.0ms	(.f64 (.f64 x 18) y)
54.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3069 to 2458 computations (19.9% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5354	1238

prune184.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Error

1.8b

Counts

115 → 8

Compiler

Compiled 4069 to 2327 computations (42.8% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 27 (.f64 k j))
0.5b	(.f64 (.f64 x 18) y)
4.5b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
5.2b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite157.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

37×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
22×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
10×	`associate-r_binary64_17068`
8×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
6×	`associate-l_binary64_17069`
4×	`add-log-exp_binary64_17167` `*-commutative_binary64_17059`

Counts

4 → 81

Calls

4 calls:

9.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3022 to 1712 computations (43.3% saved)

series504.0ms (4%)

Error

1.8b

Counts

4 → 33

Calls

4 calls:

220.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
132.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
60.0ms	(.f64 (.f64 x 18) y)
55.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3069 to 2431 computations (20.8% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5121	1236

prune162.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Error

1.8b

Counts

122 → 8

Compiler

Compiled 4040 to 2210 computations (45.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 j (.f64 27 k))
0.5b	(.f64 (.f64 x 18) y)
4.5b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
5.2b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite160.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

37×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
22×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
10×	`associate-r_binary64_17068`
8×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
6×	`associate-l_binary64_17069`
4×	`add-log-exp_binary64_17167` `*-commutative_binary64_17059`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 3022 to 1787 computations (40.9% saved)

series475.0ms (3.8%)

Error

1.8b

Counts

4 → 33

Calls

4 calls:

205.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
120.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
58.0ms	(.f64 j (.f64 27 k))
53.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3069 to 2458 computations (19.9% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5179	1236

prune166.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Error

1.8b

Counts

122 → 8

Compiler

Compiled 4009 to 2270 computations (43.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 18 (.f64 (.f64 x (.f64 z y)) t))
0.5b	(.f64 (.f64 j 27) k)
4.5b	(.f64 (.f64 x (*.f64 z y)) t)
5.1b	(.f64 x (.f64 z y))

rewrite146.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
22×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
8×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `-un-lft-identity_binary64_17128` `associate-l_binary64_17069` `associate-r*_binary64_17068`
4×	`add-log-exp_binary64_17167` `*-commutative_binary64_17059`

Counts

4 → 81

Calls

4 calls:

9.0ms	(.f64 18 (.f64 (.f64 x (.f64 z y)) t))
7.0ms	(.f64 (.f64 x (*.f64 z y)) t)
5.0ms	(.f64 x (.f64 z y))
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3022 to 1497 computations (50.5% saved)

series588.0ms (4.7%)

Error

1.8b

Counts

4 → 39

Calls

4 calls:

198.0ms	(.f64 18 (.f64 (.f64 x (.f64 z y)) t))
175.0ms	(.f64 (.f64 x (*.f64 z y)) t)
108.0ms	(.f64 x (.f64 z y))
63.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3627 to 2857 computations (21.2% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4989	1294
1	4989	1294

prune155.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	119	9	128

Error

0.0b

Counts

128 → 9

Compiler

Compiled 3999 to 2003 computations (49.9% saved)

regimes1.9s (14.9%)

Accuracy

Total 1.5b remaining (81.6%)

Threshold costs 0b (0%)

Compiler

Compiled 21664 to 19647 computations (9.3% saved)

bsearch3.0ms (0%)

Compiler: Compiled 25 to 25 computations (0% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	210	178
1	210	178

Remove

(sort j k)

(sort b c)

(sort y z)

Compiler

Compiled 714 to 492 computations (31.1% saved)

end0.0ms (0%)

sample3.4s (27.1%)

Algorithm

1×

intervals

Results

681.0ms	8108×	body	128	invalid
664.0ms	8000×	body	128	valid

Compiler

Compiled 1447 to 1249 computations (13.7% saved)

Details

analyze2.9s (23.2%)

sample124.0ms (1%)

simplify428.0ms (3.4%)

prune5.0ms (0%)

localize27.0ms (0.2%)

rewrite181.0ms (1.4%)

series510.0ms (4%)

simplify72.0ms (0.6%)

prune184.0ms (1.5%)

localize27.0ms (0.2%)

rewrite157.0ms (1.2%)

series504.0ms (4%)

simplify71.0ms (0.6%)

prune162.0ms (1.3%)

localize22.0ms (0.2%)

rewrite160.0ms (1.3%)

series475.0ms (3.8%)

simplify69.0ms (0.5%)

prune166.0ms (1.3%)

localize22.0ms (0.2%)

rewrite146.0ms (1.2%)

series588.0ms (4.7%)

simplify66.0ms (0.5%)

prune155.0ms (1.2%)

regimes1.9s (14.9%)

bsearch3.0ms (0%)

simplify73.0ms (0.6%)

end0.0ms (0%)

sample3.4s (27.1%)

Profiling