Details

Time bar (total: 5.9s)

sample49.0ms

Algorithm
intervals
Results
35.0ms371×body80valid

simplify83.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
3.0ms
(- (* d1 d2) (* d1 d3))
12.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
64.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series129.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* d1 d2) (* d1 d3))
36.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
54.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify37.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0256378
11060326
25001293

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
65.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify46.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0298214
11486191
25003191

prune72.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (+ (- d2 d3) (+ d4 d1)))
0.2b
(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
4.4b
(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
25.2b
(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

rewrite776.0ms

Algorithm
rewrite-expression-head
Rules
124×frac-add
114×associate-*r/
102×associate-*l/
90×flip3-- flip--
72×frac-times
65×flip3-+ flip-+
52×add-exp-log add-cbrt-cube
48×associate-/l/
32×*-un-lft-identity
26×prod-exp cbrt-unprod
20×pow1
17×associate-*r*
10×add-sqr-sqrt pow-prod-down distribute-lft-out
8×cbrt-undiv add-cube-cbrt div-exp
6×associate-/r/ distribute-lft-out--
5×associate-*l*
4×add-log-exp
3×*-commutative
2×distribute-rgt-in distribute-lft-in
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l* unswap-sqr
Counts
4 → 212
Calls
4 calls:
62.0ms
(* d1 (+ (- d2 d3) (+ d4 d1)))
74.0ms
(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
312.0ms
(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
305.0ms
(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

series342.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* d1 (+ (- d2 d3) (+ d4 d1)))
48.0ms
(* (* d1 (+ (- d2 d3) (+ d4 d1))) d1)
198.0ms
(* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1)))
48.0ms
(/ (* (* (* d1 (+ (- d2 d3) (+ d4 d1))) d1) (+ (- d2 d3) (- d4 d1))) (* d1 (+ (- d2 d3) (+ d4 d1))))

simplify74.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
016904080
150023884

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (- d2 d3) (- d4 d1)))
0.0b
(sqrt (+ (- d2 d3) (- d4 d1)))
0.1b
(* (* d1 (sqrt (+ (- d2 d3) (- d4 d1)))) (sqrt (+ (- d2 d3) (- d4 d1))))
0.2b
(* d1 (sqrt (+ (- d2 d3) (- d4 d1))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
102×sqrt-div
68×flip3-- frac-add flip--
59×*-un-lft-identity
54×associate-*r/
36×frac-times
29×sqrt-prod
20×associate-*r*
17×add-sqr-sqrt flip3-+ flip-+
16×distribute-lft-out distribute-lft-out--
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 151
Calls
4 calls:
28.0ms
(sqrt (+ (- d2 d3) (- d4 d1)))
30.0ms
(sqrt (+ (- d2 d3) (- d4 d1)))
122.0ms
(* (* d1 (sqrt (+ (- d2 d3) (- d4 d1)))) (sqrt (+ (- d2 d3) (- d4 d1))))
64.0ms
(* d1 (sqrt (+ (- d2 d3) (- d4 d1))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(sqrt (+ (- d2 d3) (- d4 d1)))
150.0ms
(sqrt (+ (- d2 d3) (- d4 d1)))
52.0ms
(* (* d1 (sqrt (+ (- d2 d3) (- d4 d1)))) (sqrt (+ (- d2 d3) (- d4 d1))))
176.0ms
(* d1 (sqrt (+ (- d2 d3) (- d4 d1))))

simplify93.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06962814
127082615
250032584

prune429.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes113.0ms

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
0157
1157

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s11994×body80valid