Details

sample73.0ms

Algorithm

intervals

Results

37.0ms

522×

body

valid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.7b	(* (* (* x 18.0) y) z)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
87.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
22.0ms	(* (* (* x 18.0) y) z)

series174.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
109.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune327.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
4.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.7b	(* (* x (* 18.0 y)) z)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
7.0ms	(* (* j 27.0) k)
74.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
18.0ms	(* (* x (* 18.0 y)) z)

series170.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
16.0ms	(* (* j 27.0) k)
106.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
28.0ms	(* (* x (* 18.0 y)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	472
1	1945	393
2	5002	393

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
4.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.7b	(* (* x (* 18.0 y)) z)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
6.0ms	(* j (* 27.0 k))
74.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
18.0ms	(* (* x (* 18.0 y)) z)

series172.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
19.0ms	(* j (* 27.0 k))
109.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
26.0ms	(* (* x (* 18.0 y)) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	396	471
1	1834	392
2	5001	392

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
5.7b	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

rewrite982.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
782.0ms	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
197.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

series544.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
180.0ms	(cbrt y)
139.0ms	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
51.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	421	771
1	2078	610
2	5001	541

prune365.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.3b

regimes939.0ms

Accuracy

-14.1% (3.7b remaining)

Error of 5.7b against oracle of 2.0b and baseline of 5.3b

bsearch426.0ms

Steps

Iters	Range		Point
6	2.6720839679359234e-99	1.4229788043646147e-98	2.707575551491227e-99
7	1.8321711255036185e-139	1.0150598904991137e-137	6.133988986200585e-138
10	-6.330781582693109e-291	-1.806796421068095e-303	-3.945135554219176e-297
8	-1.9580662171523396e-227	-3.135209655631193e-232	-4.236877811109335e-231

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	59
1	85	59
2	88	59
3	88	59

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s

15886×

body

valid