Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	345×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

Merged error: 0.1b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+ (+ (+ y z) z) y)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)

series34.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (+ (+ y z) z) y)
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
11.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms	(+ (+ y z) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5003	419

prune92.0ms

Filtered

83 candidates to 58 candidates (30.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
2.2b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.2b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.2b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
11.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
36.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
36.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
36.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	278	1044
1	1030	951
2	5002	885

prune110.0ms

Filtered

84 candidates to 67 candidates (20.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

29.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
15.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
14.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
66.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
65.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune248.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))
14.2b	(/ (* (cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))) (cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))) (* (cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
26.7b	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))
26.7b	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `associate-l/` `prod-exp` `associate--l+` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 82

Calls

4 calls:

35.0ms	(- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))
87.0ms	(/ (* (cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))) (cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))) (* (cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
27.0ms	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))
27.0ms	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))

series25.5s

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))
25.1s	(/ (* (cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))) (cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))) (* (cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
153.0ms	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))
159.0ms	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	597	3601
1	2190	2985
2	5002	2960

prune318.0ms

Filtered

94 candidates to 79 candidates (16.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

regimes405.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample905.0ms

Algorithm

intervals

Results

398.0ms	10742×	body	80	valid
15.0ms	110×	body	640	valid
15.0ms	84×	body	1280	valid
5.0ms	51×	body	320	valid
2.0ms	33×	body	160	valid

Details

sample32.0ms

simplify35.0ms

prune4.0ms

localize14.0ms

rewrite44.0ms

series34.0ms

simplify50.0ms

prune92.0ms

localize16.0ms

rewrite47.0ms

series161.0ms

simplify40.0ms

prune110.0ms

localize15.0ms

rewrite72.0ms

series317.0ms

simplify56.0ms

prune248.0ms

localize30.0ms

rewrite179.0ms

series25.5s

simplify84.0ms

prune318.0ms

regimes405.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample905.0ms

Profiling