Details

Time bar (total: 24.9s)

sample60.0ms

Algorithm
intervals
Results
29.0ms350×body80valid

simplify7.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
01115
12613
28110
32419
45459
59819
613579
718519
822479
923589
done23589

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity diff-log
5×prod-diff
4×fma-def fma-neg sum-log
3×pow1 add-exp-log expm1-log1p-u sub-neg associate-+l+ add-cbrt-cube log1p-expm1-u
2×associate-+l- flip3-- flip-- distribute-lft-out--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ difference-of-squares
Counts
3 → 64
Calls
3 calls:
654.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
9.0ms
(- (* d1 d2) (* d1 d3))
48.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series210.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
56.0ms
(- (* d1 d2) (* d1 d3))
59.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.3s

Counts
73 → 73
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01061089
1297848
21106692
done5000659

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
30×prod-diff
23×add-sqr-sqrt
19×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
10×distribute-lft-out--
7×associate-*r*
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/ associate--l+
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
Counts
1 → 62
Calls
1 calls:
469.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

simplify2.2s

Counts
65 → 65
Iterations

Useful iterations: 3 (911.0ms)

IterNodesCost
01131383
12291098
2616884
33449780
done5000780

prune124.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.1b
(* d1 (- (pow (cbrt (+ (- d2 d3) d4)) 3) d1))
0.5b
(cbrt (+ (- d2 d3) d4))
0.7b
(pow (cbrt (+ (- d2 d3) d4)) 3)

rewrite970.0ms

Algorithm
rewrite-expression-head
Rules
162×*-un-lft-identity
132×prod-diff
98×add-sqr-sqrt
85×add-cube-cbrt
77×cbrt-prod
68×distribute-rgt-in distribute-lft-in
58×unpow-prod-down cube-prod
30×distribute-lft-out
16×distribute-lft-out--
10×associate-*r*
8×sqr-pow
7×cube-mult unpow3
6×pow1 add-exp-log difference-of-squares
5×add-cbrt-cube
4×cbrt-div
3×expm1-log1p-u pow-unpow associate-*l* log1p-expm1-u add-log-exp
2×cube-div sub-neg pow-pow flip3-+ pow1/3 associate-*r/ flip-+
1×pow-to-exp flip3-- pow-prod-down pow-exp prod-exp *-commutative flip-- cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
3 → 220
Calls
3 calls:
901.0ms
(* d1 (- (pow (cbrt (+ (- d2 d3) d4)) 3) d1))
18.0ms
(cbrt (+ (- d2 d3) d4))
37.0ms
(pow (cbrt (+ (- d2 d3) d4)) 3)

series452.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* d1 (- (pow (cbrt (+ (- d2 d3) d4)) 3) d1))
204.0ms
(cbrt (+ (- d2 d3) d4))
181.0ms
(pow (cbrt (+ (- d2 d3) d4)) 3)

simplify1.2s

Counts
229 → 229
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02756643
15673827
213152902
done50012885

prune273.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1)))
0.8b
(+ (pow d1 4) (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1))))
3.4b
(- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6))
37.5b
(/ (- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6)) (+ (pow d1 4) (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1)))))

rewrite709.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
56×prod-diff
55×*-un-lft-identity
45×add-cube-cbrt unpow-prod-down
42×sqr-pow
30×times-frac difference-of-squares
18×add-exp-log add-cbrt-cube
16×pow1
14×associate-*r/
10×associate-/l*
8×distribute-rgt-in cube-mult distribute-lft-in flip3-+ fma-neg unpow3 cube-prod pow-prod-down prod-exp cbrt-unprod flip-+ add-log-exp
7×fma-def
5×distribute-lft-out--
4×expm1-log1p-u frac-times associate-+r+ log1p-expm1-u
3×associate-/r*
2×flip3-- associate-*l/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*r* associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 207
Calls
4 calls:
388.0ms
(* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1)))
130.0ms
(+ (pow d1 4) (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1))))
39.0ms
(- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6))
142.0ms
(/ (- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6)) (+ (pow d1 4) (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1)))))

series3.5s

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1)))
585.0ms
(+ (pow d1 4) (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1))))
1.7s
(- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6))
886.0ms
(/ (- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6)) (+ (pow d1 4) (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ (- d2 d3) d4) d1)))))

simplify2.5s

Counts
219 → 219
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03738756
110087212
242446215
done50006214

prune854.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11515
done1515

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s11840×body80valid