Details

Time bar (total: 3.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms370×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

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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:
60.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify47.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0298214
11486191
25003191

prune69.0ms

Filtered
33 candidates to 22 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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:
2.0ms
(- (* d1 d2) (* d1 d3))
61.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
11.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series126.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* d1 d2) (* d1 d3))
54.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
37.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify35.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0256378
11060326
25001293

prune120.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (- (- d2 d3) d4))
0.0b
(* d1 (- (- d2 d3) d4))
0.3b
(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
25.7b
(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log add-cbrt-cube
34×associate-*r/
31×prod-exp cbrt-unprod
20×pow1
18×*-un-lft-identity
16×add-sqr-sqrt
13×associate-*r*
12×distribute-rgt-in distribute-lft-in
10×cbrt-undiv div-exp pow-prod-down
9×flip3-- flip--
8×frac-times add-cube-cbrt sub-neg associate--l+ associate-/l/
7×associate-*l*
6×flip3-+ flip-+ distribute-lft-out--
4×associate-*l/ add-log-exp
3×*-commutative
2×associate-/r/ difference-of-squares unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 139
Calls
4 calls:
38.0ms
(* d1 (- (- d2 d3) d4))
39.0ms
(* d1 (- (- d2 d3) d4))
80.0ms
(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
96.0ms
(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* d1 (- (- d2 d3) d4))
31.0ms
(* d1 (- (- d2 d3) d4))
115.0ms
(* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4)))
36.0ms
(/ (* (* d1 (- (- d2 d3) d4)) (* d1 (+ (- d2 d3) d4))) (* d1 (- (- d2 d3) d4)))

simplify147.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06401516
14731943
25001943

prune272.0ms

Filtered
151 candidates to 84 candidates (55.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ 1 (* d1 (+ (- d2 d3) d4)))) (* d1 d1))
0.0b
(* d1 (+ (- d2 d3) d4))
0.3b
(/ 1 (* d1 (+ (- d2 d3) d4)))
0.3b
(/ 1 (/ 1 (* d1 (+ (- d2 d3) d4))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
44×times-frac
32×add-sqr-sqrt *-un-lft-identity
30×div-exp
26×add-cube-cbrt
20×add-cbrt-cube
15×rec-exp 1-exp
13×pow1 prod-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
8×pow-flip
7×cbrt-undiv
6×flip3-+ flip-+ div-inv associate-/l* add-log-exp
5×associate-*r*
3×associate-*l* pow-prod-down cbrt-unprod inv-pow difference-of-squares
2×frac-2neg clear-num distribute-lft-out
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log *-commutative flip-- remove-double-div distribute-lft-out-- unswap-sqr
Counts
4 → 149
Calls
4 calls:
68.0ms
(- (/ 1 (/ 1 (* d1 (+ (- d2 d3) d4)))) (* d1 d1))
37.0ms
(* d1 (+ (- d2 d3) d4))
21.0ms
(/ 1 (* d1 (+ (- d2 d3) d4)))
45.0ms
(/ 1 (/ 1 (* d1 (+ (- d2 d3) d4))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (/ 1 (/ 1 (* d1 (+ (- d2 d3) d4)))) (* d1 d1))
36.0ms
(* d1 (+ (- d2 d3) d4))
38.0ms
(/ 1 (* d1 (+ (- d2 d3) d4)))
34.0ms
(/ 1 (/ 1 (* d1 (+ (- d2 d3) d4))))

simplify65.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05071007
12860770
25001761

prune219.0ms

Filtered
161 candidates to 76 candidates (47.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes94.0ms

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
0104
1104

end0.0ms

sample671.0ms

Algorithm
intervals
Results
376.0ms11827×body80valid