Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.3b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune127.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.9b	(cbrt (* (- y x) (/ z t)))
7.3b	(* (- y x) (/ z t))
7.3b	(* (- y x) (/ z t))
7.3b	(* (- y x) (/ z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

6.0ms	(cbrt (* (- y x) (/ z t)))
10.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))

series265.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))
40.0ms	(* (- y x) (/ z t))
45.0ms	(* (- y x) (/ z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	801
1	1475	729
2	5002	709

prune430.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

5.9b	(cbrt (* (- y x) (/ z t)))
7.3b	(* (- y x) (/ z t))
7.3b	(* (- y x) (/ z t))
11.1b	(cbrt (/ z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`times-frac`
27×	`add-cube-cbrt`
26×	`associate-r`
14×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
10×	`associate-l`
8×	`pow1`
6×	`frac-times` `cbrt-div` `flip3--` `associate-*l/` `flip--`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`associate-*r/` `div-inv`
2×	`cbrt-undiv` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

6.0ms	(cbrt (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))
10.0ms	(* (- y x) (/ z t))
2.0ms	(cbrt (/ z t))

series472.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))
40.0ms	(* (- y x) (/ z t))
68.0ms	(cbrt (/ z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	424	728
1	1565	665
2	5001	649

prune454.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

5.9b	(cbrt (* (- y x) (/ z t)))
5.9b	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t))))
7.3b	(* (- y x) (/ z t))
11.1b	(cbrt (/ z t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

167×	`cbrt-div`
86×	`frac-times`
58×	`flip3--` `flip--`
42×	`associate-*l/`
28×	`associate-*r/`
26×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt` `times-frac`
15×	`cbrt-prod`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

6.0ms	(cbrt (* (- y x) (/ z t)))
24.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t))))
10.0ms	(* (- y x) (/ z t))
3.0ms	(cbrt (/ z t))

series380.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (* (- y x) (/ z t)))
133.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t))))
46.0ms	(* (- y x) (/ z t))
60.0ms	(cbrt (/ z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	875	2041
1	2363	1976
2	5001	1920

prune541.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes206.0ms

Accuracy

36.6% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample558.0ms

Algorithm

intervals

Results

280.0ms

10609×

body

valid