Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

330×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z y))
6.0b	(* (- (* x y) (* z y)) t)

rewrite13.0ms

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:

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* x y) (* z y))
43.0ms	(* (- (* x y) (* z y)) t)

simplify105.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (25.0ms)

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

prune108.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (- (* x y) (* z y)) t)
7.7b	(cbrt (* (- (* x y) (* z y)) t))
7.7b	(cbrt (* (- (* x y) (* z y)) t))
7.7b	(cbrt (* (- (* x y) (* z y)) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

9.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))

series553.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- (* x y) (* z y)) t)
170.0ms	(cbrt (* (- (* x y) (* z y)) t))
171.0ms	(cbrt (* (- (* x y) (* z y)) t))
172.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	593
1	1082	540
2	5001	526

prune306.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (- (* x y) (* z y)) t)
7.7b	(cbrt (* (- (* x y) (* z y)) t))
7.7b	(cbrt (* (- (* x y) (* z y)) t))
8.0b	(cbrt (- (* x y) (* z y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

10.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
2.0ms	(cbrt (- (* x y) (* z y)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (* x y) (* z y)) t)
176.0ms	(cbrt (* (- (* x y) (* z y)) t))
178.0ms	(cbrt (* (- (* x y) (* z y)) t))
124.0ms	(cbrt (- (* x y) (* z y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	371	595
1	1264	544
2	5001	521

prune348.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (- (* x y) (* z y)) t)
6.0b	(* (- (* x y) (* z y)) t)
7.7b	(cbrt (* (- (* x y) (* z y)) t))
7.7b	(cbrt (* (- (* x y) (* z y)) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

9.0ms	(* (- (* x y) (* z y)) t)
10.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))

series448.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (* x y) (* z y)) t)
48.0ms	(* (- (* x y) (* z y)) t)
178.0ms	(cbrt (* (- (* x y) (* z y)) t))
180.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	296	566
1	1082	504
2	5001	492

prune384.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes394.0ms

Accuracy

80.8% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample530.0ms

Algorithm

intervals

Results

273.0ms

10643×

body

valid