Details

Time bar (total: 25.4s)

sample64.0ms

Algorithm
intervals
Results
20.0ms254×body80valid
4.0ms14×body640valid
3.0ms7×body1280valid
2.0ms15×body160valid
2.0ms8×body320valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
01113
12013
24513
311612
432612
5100212
6398412
done500012

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
13.1b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
31.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series243.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (- y x) (- a t))
152.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify2.8s

Counts
70 → 70
Iterations

Useful iterations: 3 (913.0ms)

IterNodesCost
0118918
1275890
2851838
34610836
done5000836

prune316.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
4.7b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.9b
(* (/ (- y x) (- a t)) (- z t))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
26.0ms
(/ (- y x) (- a t))
39.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
118.0ms
(* (/ (- y x) (- a t)) (- z t))

series749.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(/ (- y x) (- a t))
262.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
384.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify2.0s

Counts
179 → 179
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02563107
17192752
233212516
done50012490

prune777.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.9b
(* (- y x) (/ (- z t) (- a t)))
3.7b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls
3 calls:
28.0ms
(/ (- z t) (- a t))
77.0ms
(* (- y x) (/ (- z t) (- a t)))
36.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series986.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (- z t) (- a t))
214.0ms
(* (- y x) (/ (- z t) (- a t)))
684.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify2.2s

Counts
135 → 135
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01891881
15191777
226521675
done50021667

prune492.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.4b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.4b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.4b
(cbrt (* (- y x) (/ (- z t) (- a t))))
8.1b
(+ (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))) x)

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
6×frac-times flip3-- associate-*l/ flip-- add-log-exp
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u
3×cbrt-prod pow1/3 associate-*r/
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
4 → 62
Calls
4 calls:
19.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
33.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
36.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
160.0ms
(+ (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))) x)

series6.7s

Counts
4 → 12
Calls
4 calls:
2.2s
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.2s
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.1s
(cbrt (* (- y x) (/ (- z t) (- a t))))
219.0ms
(+ (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))) x)

simplify1.8s

Counts
74 → 74
Iterations

Useful iterations: 3 (635.0ms)

IterNodesCost
01091820
12541775
27281133
332931089
done50011089

prune464.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 3.0b

regimes447.0ms

Accuracy

5.8% (7.6b remaining)

Error of 11.1b against oracle of 3.5b and baseline of 11.6b

bsearch81.0ms

Steps
ItersRangePoint
10
2.49639711915251e+186
2.0029258804612433e+198
1.8875080143777322e+198

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01929
12229
done2229

end0.0ms

sample1.8s

Algorithm
intervals
Results
741.0ms7734×body80valid
146.0ms479×body640valid
99.0ms411×body320valid
79.0ms264×body1280valid
75.0ms271×body160valid
6.0ms17×body2560valid