Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x y) (* z y))
6.8b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

4.0ms	(- (* x y) (* z y))
5.0ms	(* (- (* x y) (* z y)) t)

series77.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* x y) (* z y))
41.0ms	(* (- (* x y) (* z y)) t)

simplify99.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune87.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x y) (* z y))
6.8b	(* (* 1 (- (* x y) (* z y))) t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log`
7×	`pow1` `add-cbrt-cube`
5×	`prod-exp`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `cbrt-unprod`
2×	`flip3--` `associate-r/` `associate-l/` `flip--`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `1-exp` `associate-l` `*-commutative`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
10.0ms	(* (* 1 (- (* x y) (* z y))) t)

series73.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- (* x y) (* z y))
41.0ms	(* (* 1 (- (* x y) (* z y))) t)

simplify117.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	204	212
1	751	168
2	4768	166
3	5001	166

prune83.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (* (- (* x y) (* z y)) t))
6.8b	(* (- (* x y) (* z y)) t)
6.8b	(* (- (* x y) (* z y)) t)
6.8b	(* (- (* x y) (* z y)) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r`
8×	`associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 74

Calls

4 calls:

4.0ms	(cbrt (* (- (* x y) (* z y)) t))
6.0ms	(* (- (* x y) (* z y)) t)
6.0ms	(* (- (* x y) (* z y)) t)
6.0ms	(* (- (* x y) (* z y)) t)

series302.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (* (- (* x y) (* z y)) t))
45.0ms	(* (- (* x y) (* z y)) t)
41.0ms	(* (- (* x y) (* z y)) t)
45.0ms	(* (- (* x y) (* z y)) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	539
1	1082	468
2	5001	458

prune275.0ms

Filtered

86 candidates to 76 candidates (88.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

6.8b	(* (- (* x y) (* z y)) t)
9.7b	(cbrt (- (* x y) (* z y)))
9.7b	(cbrt (- (* x y) (* z y)))
9.7b	(cbrt (- (* x y) (* z y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `distribute-rgt-out--` `associate-l` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

6.0ms	(* (- (* x y) (* z y)) t)
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- (* x y) (* z y)) t)
113.0ms	(cbrt (- (* x y) (* z y)))
117.0ms	(cbrt (- (* x y) (* z y)))
113.0ms	(cbrt (- (* x y) (* z y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	274	599
1	961	552
2	5001	529

prune332.0ms

Filtered

75 candidates to 72 candidates (96.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

90% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	38	35
1	43	35
2	49	23
3	52	23
4	58	23
5	69	23
6	76	23
7	77	23
8	77	23

end0.0ms

sample521.0ms

Algorithm

intervals

Results

271.0ms

10672×

body

valid