Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

324×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 0.253 (* x 0.12))
60.0ms	(* x (+ 0.253 (* x 0.12)))

simplify112.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

73.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
120.0ms	(cbrt (+ 0.253 (* x 0.12)))
125.0ms	(cbrt (+ 0.253 (* x 0.12)))
120.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify58.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	527	1629
1	1893	1476
2	5001	1331

prune276.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* x 0.12)))
1.3b	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`difference-of-squares`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (- 0.253 (* x 0.12)))
2.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (+ 0.253 (* x 0.12)))
128.0ms	(cbrt (+ 0.253 (* x 0.12)))
124.0ms	(cbrt (- 0.253 (* x 0.12)))
239.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify52.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	513	818
1	1822	783
2	5002	687

prune315.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))
0.4b	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
4.0b	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`flip3--` `associate-r/` `associate-l*` `pow-sqr` `pow-prod-up` `flip--`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
10.0ms	(* (* x 0.12) (* x 0.12))
10.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
9.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
29.0ms	(* (* x 0.12) (* x 0.12))
93.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
168.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify67.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	374	763
1	2062	631
2	5001	631

prune167.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample321.0ms

Algorithm

intervals

Results

207.0ms

10608×

body

valid