Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms347×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- d2 d3) (- d4 d1))
0.0b
(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
14×add-log-exp
8×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
7×associate-*r*
6×add-sqr-sqrt associate-*r/
4×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube
3×associate-*l*
2×sub-neg associate-+l+ associate-+r+ flip3-+ flip-+
1×+-commutative distribute-rgt-in associate-+l- associate-+r- distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 58
Calls
2 calls:
18.0ms
(+ (- d2 d3) (- d4 d1))
58.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (- d2 d3) (- d4 d1))
49.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0391410
11841378
25002378

prune130.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(* d1 (- d2 d3))
0.0b
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r/
11×*-un-lft-identity
10×associate-*r*
8×distribute-rgt-in sub-neg distribute-lft-in
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×flip3-- associate-*l* flip--
5×add-log-exp
4×associate-+l+ associate-+r+ frac-add
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 76
Calls
3 calls:
9.0ms
(* d1 (- d4 d1))
9.0ms
(* d1 (- d2 d3))
7.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* d1 (- d4 d1))
34.0ms
(* d1 (- d2 d3))
54.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0407422
12021395
25001395

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* d4 d1) (* (- d1) d1))
0.0b
(* d1 (- d2 d3))
0.0b
(+ (* d1 (- d2 d3)) (+ (* d4 d1) (* (- d1) d1)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
9×add-sqr-sqrt
7×*-un-lft-identity
6×associate-*r/
5×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
4×distribute-lft-neg-out distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ frac-add sum-log flip-+
3×flip3-- associate-*l* flip--
2×+-commutative associate-+r- distribute-rgt-out unsub-neg
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
2.0ms
(+ (* d4 d1) (* (- d1) d1))
9.0ms
(* d1 (- d2 d3))
10.0ms
(+ (* d1 (- d2 d3)) (+ (* d4 d1) (* (- d1) d1)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* d4 d1) (* (- d1) d1))
33.0ms
(* d1 (- d2 d3))
54.0ms
(+ (* d1 (- d2 d3)) (+ (* d4 d1) (* (- d1) d1)))

simplify67.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0397519
12120456
25001445

prune157.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- d2 d3) (- d4 d1))
0.0b
(+ (- d2 d3) (- d4 d1))
0.1b
(* d1 (sqrt (+ (- d2 d3) (- d4 d1))))
0.1b
(* (* d1 (sqrt (+ (- d2 d3) (- d4 d1)))) (sqrt (+ (- d2 d3) (- d4 d1))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
90×sqrt-div
68×flip3-- frac-add flip--
57×*-un-lft-identity
54×associate-*r/
36×frac-times
28×add-log-exp
20×associate-*r*
17×flip3-+ flip-+
16×distribute-lft-out distribute-lft-out--
15×sqrt-prod
13×add-sqr-sqrt
11×pow1 add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×diff-log sum-log
6×associate-*l/
4×sub-neg associate-+l+ associate-+r+ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l- associate-+r- *-commutative unswap-sqr
Counts
4 → 161
Calls
4 calls:
18.0ms
(+ (- d2 d3) (- d4 d1))
18.0ms
(+ (- d2 d3) (- d4 d1))
57.0ms
(* d1 (sqrt (+ (- d2 d3) (- d4 d1))))
111.0ms
(* (* d1 (sqrt (+ (- d2 d3) (- d4 d1)))) (sqrt (+ (- d2 d3) (- d4 d1))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (- d2 d3) (- d4 d1))
30.0ms
(+ (- d2 d3) (- d4 d1))
166.0ms
(* d1 (sqrt (+ (- d2 d3) (- d4 d1))))
51.0ms
(* (* d1 (sqrt (+ (- d2 d3) (- d4 d1)))) (sqrt (+ (- d2 d3) (- d4 d1))))

simplify80.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07082714
127732523
250012502

prune446.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample689.0ms

Algorithm
intervals
Results
401.0ms11966×body80valid