Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

266×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

prune2.0ms

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: 7.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.4b	(/ x (* (- y z) (- t z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
48×	`times-frac`
33×	`add-cube-cbrt`
25×	`associate-r` `associate-l`
16×	`associate-/r*`
12×	`flip3--` `flip--`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`*-commutative` `unswap-sqr`
4×	`pow1` `associate-r/` `associate-l/`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 123

Calls

2 calls:

8.0ms	(* (- y z) (- t z))
12.0ms	(/ x (* (- y z) (- t z)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- y z) (- t z))
131.0ms	(/ x (* (- y z) (- t z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	459	909
1	2020	865
2	5002	865

prune200.0ms

Filtered

129 candidates to 93 candidates (27.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series764.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt x) (cbrt x))
194.0ms	(cbrt x)
183.0ms	(cbrt x)
182.0ms	(cbrt x)

simplify114.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune163.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.4b	(/ (/ x (- y z)) (- t z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
180×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
45×	`distribute-lft-out--` `difference-of-squares`
27×	`associate-/l*`
16×	`associate-/r/`
15×	`associate-/r*`
11×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`

Counts

2 → 195

Calls

2 calls:

5.0ms	(/ x (- y z))
15.0ms	(/ (/ x (- y z)) (- t z))

series163.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x (- y z))
129.0ms	(/ (/ x (- y z)) (- t z))

simplify75.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	648	1776
1	2373	1732
2	5001	1732

prune301.0ms

Filtered

201 candidates to 135 candidates (32.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	201	6	207

Merged error: 0b

Counts

207 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt x)
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series676.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
163.0ms	(cbrt (- y z))
163.0ms	(cbrt (- y z))
164.0ms	(cbrt (- y z))

simplify205.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (198.0ms)

Iter	Nodes	Cost
0	173	360
1	374	342
2	1123	331
3	4588	319
4	5001	306

prune189.0ms

Filtered

68 candidates to 57 candidates (16.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	68	6	74

Merged error: 0b

Counts

74 → 6

regimes158.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16

end0.0ms

sample436.0ms

Algorithm

intervals

Results

225.0ms

8395×

body

valid