Details

Time bar (total: 13.2s)

sample41.0ms

Algorithm
intervals
Results
19.0ms398×body80valid

simplify1.4s

Counts
1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite197.0ms

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:
194.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify717.0ms

Counts
33 → 33

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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:
22.0ms
(* d1 (- d2 d3))
25.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))
22.0ms
(* d1 (- d4 d1))

series183.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* d1 (- d2 d3))
73.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))
42.0ms
(* d1 (- d4 d1))

simplify1.0s

Counts
85 → 85

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
0.3b
(- (pow d4 3) (pow d1 3))
2.7b
(* d1 (- (pow d4 3) (pow d1 3)))
32.1b
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-cube-cbrt add-log-exp
6×pow1 associate-*r/
5×sub-neg
4×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in flip--
3×times-frac associate-*l* associate-/r*
2×difference-cubes cbrt-undiv flip3-+ div-exp frac-add prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 122
Calls
4 calls:
98.0ms
(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
29.0ms
(- (pow d4 3) (pow d1 3))
105.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
104.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
63.0ms
(- (pow d4 3) (pow d1 3))
84.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
147.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

simplify1.4s

Counts
134 → 134

prune503.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

13.5b
(* (/ d1 (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))) (/ (- (pow d4 3) (pow d1 3)) (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))))
13.6b
(/ (- (pow d4 3) (pow d1 3)) (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
17.2b
(sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))
17.2b
(sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

rewrite599.0ms

Algorithm
rewrite-expression-head
Rules
479×add-sqr-sqrt
330×times-frac
265×*-un-lft-identity
208×difference-of-squares
174×sqrt-prod
156×unpow-prod-down cube-prod associate-*r*
135×add-cube-cbrt
104×sqr-pow
65×distribute-lft-out--
25×associate-/l*
24×associate-*l*
18×add-exp-log add-cbrt-cube
13×difference-cubes
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ div-exp flip-+
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 437
Calls
4 calls:
350.0ms
(* (/ d1 (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))) (/ (- (pow d4 3) (pow d1 3)) (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))))
120.0ms
(/ (- (pow d4 3) (pow d1 3)) (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
33.0ms
(sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))
54.0ms
(sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (/ d1 (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))) (/ (- (pow d4 3) (pow d1 3)) (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))))
77.0ms
(/ (- (pow d4 3) (pow d1 3)) (sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
90.0ms
(sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))
90.0ms
(sqrt (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

simplify784.0ms

Counts
449 → 449

prune1.8s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes109.0ms

Accuracy

11.5% (0.0b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s12009×body80valid