Details

analyze902.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune4.0ms

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: 11.4b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
12.0b	(/ (* (- y z) t) (- a z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
8.0ms	(/ (* (- y z) t) (- a z))

series46.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
15.0ms	(/ (* (- y z) t) (- a z))

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune99.0ms

Filtered

52 candidates to 72 candidates (-38.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.6b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
30.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
30.0ms	(cbrt (- a z))
21.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify70.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	615	1421
1	2620	1268
2	5001	1197

prune153.0ms

Filtered

108 candidates to 134 candidates (-24.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Merged error: 0.0b

Counts

140 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
8.9b	(* (- y z) (/ t (- a z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* (- y z) (/ t (- a z))))
8.0ms	(/ t (- a z))
18.0ms	(* (- y z) (/ t (- a z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	365	574
1	1604	535
2	5001	535

prune100.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.2b	(* t (/ 1 (- a z)))
8.9b	(* (- y z) (* t (/ 1 (- a z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-*r/` `div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 128

Calls

4 calls:

5.0ms	(/ 1 (- a z))
3.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
10.0ms	(* t (/ 1 (- a z)))
12.0ms	(* (- y z) (* t (/ 1 (- a z))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a z))
24.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
9.0ms	(* t (/ 1 (- a z)))
15.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify50.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	445	736
1	1858	634
2	5001	589

prune98.0ms

Filtered

80 candidates to 140 candidates (-75.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	140	7	147

Merged error: 0b

Counts

147 → 7

regimes400.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

analyze1.1s

Algorithm: search

sample587.0ms

Algorithm

intervals

Results

301.0ms	7998×	body	80	valid
25.0ms	727×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Details

analyze902.0ms

sample23.0ms

simplify47.0ms

prune4.0ms

localize12.0ms

rewrite22.0ms

series46.0ms

simplify38.0ms

prune99.0ms

localize12.0ms

rewrite44.0ms

series102.0ms

simplify70.0ms

prune153.0ms

localize8.0ms

rewrite23.0ms

series50.0ms

simplify44.0ms

prune100.0ms

localize9.0ms

rewrite34.0ms

series53.0ms

simplify50.0ms

prune98.0ms

regimes400.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample587.0ms

Profiling

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5