Details

analyze4.0s (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
0	7	7
1	7	7

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
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Symmetry

(sort x y)

(sort t a)

Compiler

Compiled 20 to 19 computations (5% saved)

sample117.0ms (0.4%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
14.0ms	139×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify117.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune10.0ms (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

6.7b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.1b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite327.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

21×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
18×	`times-frac_binary64_18839`
13×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
9×	`pow1_binary64_18894`
6×	`add-log-exp_binary64_18872` `associate-/l_binary64_18778` `associate-/r_binary64_18777`
4×	`associate-/l/_binary64_18780`
3×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `associate-r_binary64_18773`
2×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830`
1×	`sum-log_binary64_18924` `+-commutative_binary64_18763` `associate-l_binary64_18774` `*-commutative_binary64_18764`

Counts

4 → 87

Calls

4 calls:

26.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
21.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
15.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2574 to 1468 computations (43% saved)

series3.1s (9.2%)

Error

6.0b

Counts

4 → 102

Calls

4 calls:

1.5s	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
949.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
392.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
104.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify170.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune371.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	176	13	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	177	14	191

Error

5.9b

Counts

191 → 14

Compiler

Compiled 4064 to 2096 computations (48.4% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 9 (.f64 x y))
0.5b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
2.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
9.2b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite284.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

21×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
18×	`times-frac_binary64_18839`
13×	`add-exp-log_binary64_18871` `add-cbrt-cube_binary64_18869`
9×	`pow1_binary64_18894`
6×	`add-log-exp_binary64_18872` `associate-/l_binary64_18778` `associate-/r_binary64_18777`
3×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `pow-prod-down_binary64_18904` `prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `associate-l_binary64_18774`
2×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830` `associate-/r/_binary64_18779` `associate-/l/_binary64_18780`
1×	`sum-log_binary64_18924` `+-commutative_binary64_18763` `associate-r_binary64_18773` `*-commutative_binary64_18764`

Counts

4 → 87

Calls

4 calls:

23.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
19.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
10.0ms	(.f64 9 (.f64 x y))
10.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 2748 to 1503 computations (45.3% saved)

series3.2s (9.6%)

Error

5.9b

Counts

4 → 104

Calls

4 calls:

1.5s	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
1.0s	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
424.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
96.0ms	(.f64 9 (.f64 x y))

Compiler

Compiled 6933 to 5249 computations (24.3% saved)

simplify190.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4969	4686
1	4969	4686

prune405.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	6	7	13
Picked	0	1	1
Done	0	0	0
Total	192	13	205

Error

5.9b

Counts

205 → 13

Compiler

Compiled 4953 to 2493 computations (49.7% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.3b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite729.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

28×	`add-sqr-sqrt_binary64_18855`
22×	`*-un-lft-identity_binary64_18833`
21×	`add-cube-cbrt_binary64_18868`
20×	`add-exp-log_binary64_18871` `times-frac_binary64_18839`
16×	`add-cbrt-cube_binary64_18869` `associate-r_binary64_18773`
11×	`pow1_binary64_18894`
7×	`prod-exp_binary64_18882`
6×	`add-log-exp_binary64_18872`
5×	`cbrt-unprod_binary64_18866`
4×	`pow-prod-down_binary64_18904` `flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-l_binary64_18774`
3×	`div-exp_binary64_18884` `unswap-sqr_binary64_18801` `associate-/l_binary64_18778` `associate-/r_binary64_18777`
2×	`cbrt-undiv_binary64_18867` `frac-times_binary64_18843` `associate-l/_binary64_18776` `div-inv_binary64_18830` `-commutative_binary64_18764` `associate-/l/_binary64_18780`
1×	`1-exp_binary64_18877` `rec-exp_binary64_18883` `un-div-inv_binary64_18831` `associate-*r/_binary64_18775` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `sum-log_binary64_18924` `+-commutative_binary64_18763`

Counts

4 → 98

Calls

4 calls:

37.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
24.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
17.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3055 to 1849 computations (39.5% saved)

series3.2s (9.6%)

Error

5.9b

Counts

4 → 102

Calls

4 calls:

1.5s	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
1.0s	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
433.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
116.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4627 to 3520 computations (23.9% saved)

simplify200.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune376.0ms (1.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	198	15	213

Error

5.9b

Counts

213 → 15

Compiler

Compiled 4608 to 2420 computations (47.5% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
1.7b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z))
1.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z)))
9.1b	(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z))) (.f64 (.f64 t a) -4)) c)

rewrite532.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

64×	`add-sqr-sqrt_binary64_18855`
60×	`times-frac_binary64_18839`
53×	`add-exp-log_binary64_18871`
46×	`*-un-lft-identity_binary64_18833`
43×	`add-cube-cbrt_binary64_18868`
27×	`cbrt-prod_binary64_18864`
22×	`associate-r_binary64_18773`
21×	`add-cbrt-cube_binary64_18869`
20×	`prod-exp_binary64_18882`
17×	`div-exp_binary64_18884`
9×	`cbrt-undiv_binary64_18867` `associate-/r*_binary64_18777` `unswap-sqr_binary64_18801`
8×	`cbrt-unprod_binary64_18866`
7×	`associate-l_binary64_18774`
6×	`pow1_binary64_18894` `associate-/l*_binary64_18778`
4×	`add-log-exp_binary64_18872` `div-inv_binary64_18830` `associate-/l/_binary64_18780` `1-exp_binary64_18877` `rec-exp_binary64_18883`
2×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `flip3-+_binary64_18836` `flip-+_binary64_18807`
1×	`pow-prod-down_binary64_18904` `frac-times_binary64_18843` `associate-l/_binary64_18776` `associate-r/_binary64_18775` `*-commutative_binary64_18764` `pow1/3_binary64_18915`

Counts

4 → 151

Calls

4 calls:

41.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z)))
34.0ms	(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z))) (.f64 (.f64 t a) -4)) c)
12.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)

Compiler

Compiled 6075 to 2768 computations (54.4% saved)

series3.2s (9.6%)

Error

5.9b

Counts

4 → 84

Calls

4 calls:

1.6s	(/.f64 (+.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z))) (.f64 (.f64 t a) -4)) c)
984.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z))
445.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 b (.f64 9 (.f64 x y))) (cbrt.f64 z)))
116.0ms	(cbrt.f64 z)

Compiler

Compiled 4628 to 3434 computations (25.8% saved)

simplify176.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4986	5328
1	4986	5328

prune452.0ms (1.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	235	15	250

Error

5.9b

Counts

250 → 15

Compiler

Compiled 6418 to 3028 computations (52.8% saved)

regimes4.9s (14.5%)

Accuracy

Total 2.5b remaining (29.7%)

Threshold costs 0b (0%)

Compiler

Compiled 28986 to 24904 computations (14.1% saved)

bsearch12.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify100.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	165	202
1	165	202

Remove

(sort x y)

Compiler

Compiled 816 to 486 computations (40.4% saved)

end0.0ms (0%)

sample7.2s (21.6%)

Algorithm

1×

intervals

Results

843.0ms	8000×	body	128	valid
485.0ms	4707×	body	128	invalid

Compiler

Compiled 2997 to 2472 computations (17.5% saved)

Details

analyze4.0s (12%)

sample117.0ms (0.4%)

simplify117.0ms (0.3%)

prune10.0ms (0%)

localize37.0ms (0.1%)

rewrite327.0ms (1%)

series3.1s (9.2%)

simplify170.0ms (0.5%)

prune371.0ms (1.1%)

localize29.0ms (0.1%)

rewrite284.0ms (0.8%)

series3.2s (9.6%)

simplify190.0ms (0.6%)

prune405.0ms (1.2%)

localize31.0ms (0.1%)

rewrite729.0ms (2.2%)

series3.2s (9.6%)

simplify200.0ms (0.6%)

prune376.0ms (1.1%)

localize38.0ms (0.1%)

rewrite532.0ms (1.6%)

series3.2s (9.6%)

simplify176.0ms (0.5%)

prune452.0ms (1.3%)

regimes4.9s (14.5%)

bsearch12.0ms (0%)

simplify100.0ms (0.3%)

end0.0ms (0%)

sample7.2s (21.6%)

Profiling