Details

sample41.0ms

Algorithm

intervals

Results

9.0ms

270×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	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: 1.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.0b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
18.0ms	(* y (/ (- z t) (- z a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune143.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0b

Counts

123 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
1.2b	(* (cbrt y) (/ (- z t) (- z a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
15.0ms	(* (cbrt y) (/ (- z t) (- z a)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
19.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
53.0ms	(* (cbrt y) (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	403	829
1	1711	675
2	5002	627

prune114.0ms

Filtered

73 candidates to 116 candidates (-58.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0b

Counts

125 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a))))
1.1b	(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-exp-log`
60×	`prod-exp` `cbrt-unprod`
57×	`pow1`
46×	`add-cbrt-cube`
39×	`pow-prod-down`
6×	`cbrt-undiv` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
5×	`associate-*r/`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `associate-l` `*-commutative`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a))))
26.0ms	(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a)))))

series120.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
24.0ms	(cbrt y)
53.0ms	(* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a))))
20.0ms	(* (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (/ (- z t) (- z a)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	413	1616
1	1797	1013
2	5002	752

prune94.0ms

Filtered

47 candidates to 110 candidates (-134.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	110	9	119

Merged error: 0b

Counts

119 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
7.3b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
28×	`associate-*l/`
26×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
27.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
26.0ms	(cbrt (- z t))
30.0ms	(cbrt (- z t))
16.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- z a)))

simplify92.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	673	1584
1	3211	1432
2	5002	1370

prune131.0ms

Filtered

103 candidates to 144 candidates (-39.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	144	9	153

Merged error: 0b

Counts

153 → 9

regimes729.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample680.0ms

Algorithm

intervals

Results

315.0ms	8733×	body	80	valid
0.0ms	1×	body	1280	valid

Details

sample41.0ms

simplify49.0ms

prune4.0ms

localize8.0ms

rewrite29.0ms

series53.0ms

simplify45.0ms

prune143.0ms

localize11.0ms

rewrite37.0ms

series116.0ms

simplify47.0ms

prune114.0ms

localize16.0ms

rewrite52.0ms

series120.0ms

simplify59.0ms

prune94.0ms

localize12.0ms

rewrite42.0ms

series98.0ms

simplify92.0ms

prune131.0ms

regimes729.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample680.0ms

Profiling