Details

Time bar (total: 18.2s)

sample32.0ms

Algorithm
intervals
Results
13.0ms273×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01011
12011
23610
35910
410210
516110
621210
724010
827810
931910
1040410
1150210
1257010
1363410
1466210
done66210

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.5b
(* y (/ (- z t) (- a t)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- fma-def associate-*l* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
12.0ms
(+ x (* y (/ (- z t) (- a t))))
42.0ms
(/ (- z t) (- a t))
69.0ms
(* y (/ (- z t) (- a t)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(+ x (* y (/ (- z t) (- a t))))
61.0ms
(/ (- z t) (- a t))
87.0ms
(* y (/ (- z t) (- a t)))

simplify2.4s

Counts
131 → 131
Iterations

Useful iterations: 2 (245.0ms)

IterNodesCost
01681615
14291512
212211414
339561414
done50021414

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b
(/ 1 (- a t))
0.3b
(* (- z t) (/ 1 (- a t)))
2.5b
(* y (* (- z t) (/ 1 (- a t))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
43×*-un-lft-identity
32×add-exp-log times-frac
26×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip-- add-log-exp
5×associate-/r*
4×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-/r/ log1p-expm1-u
3×cbrt-undiv rec-exp fma-def 1-exp associate-/l* unswap-sqr
2×un-div-inv *-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 141
Calls
4 calls:
16.0ms
(+ x (* y (* (- z t) (/ 1 (- a t)))))
24.0ms
(/ 1 (- a t))
54.0ms
(* (- z t) (/ 1 (- a t)))
66.0ms
(* y (* (- z t) (/ 1 (- a t))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(+ x (* y (* (- z t) (/ 1 (- a t)))))
52.0ms
(/ 1 (- a t))
67.0ms
(* (- z t) (/ 1 (- a t)))
109.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify1.4s

Counts
153 → 153
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
01901812
14521462
214241286
done50011286

prune458.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
6.5b
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 144
Calls
4 calls:
4.0ms
(cbrt (- a t))
4.0ms
(cbrt (- a t))
6.0ms
(cbrt (- a t))
171.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series831.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (- a t))
188.0ms
(cbrt (- a t))
209.0ms
(cbrt (- a t))
258.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify1.7s

Counts
156 → 156
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02282912
16362780
224182391
done50002247

prune711.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.9b
(cbrt (/ (- z t) (cbrt (- a t))))
0.9b
(cbrt (/ (- z t) (cbrt (- a t))))
1.7b
(* (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ (- z t) (cbrt (- a t)))) (cbrt (/ (- z t) (cbrt (- a t)))))) (cbrt (/ (- z t) (cbrt (- a t)))))
4.5b
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ (- z t) (cbrt (- a t)))) (cbrt (/ (- z t) (cbrt (- a t))))))

rewrite984.0ms

Algorithm
rewrite-expression-head
Rules
213×cbrt-prod
144×add-sqr-sqrt
142×*-un-lft-identity
124×times-frac
64×add-cube-cbrt
54×add-exp-log
52×cbrt-div
50×associate-*r*
39×distribute-lft-out-- difference-of-squares
29×prod-exp cbrt-unprod
27×add-cbrt-cube
26×frac-times
18×pow1 associate-*r/ associate-*l/
16×associate-*l*
14×associate-/r/
9×flip3-- pow-prod-down flip--
8×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 255
Calls
4 calls:
23.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
21.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
696.0ms
(* (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ (- z t) (cbrt (- a t)))) (cbrt (/ (- z t) (cbrt (- a t)))))) (cbrt (/ (- z t) (cbrt (- a t)))))
215.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ (- z t) (cbrt (- a t)))) (cbrt (/ (- z t) (cbrt (- a t))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
467.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
498.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
228.0ms
(* (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ (- z t) (cbrt (- a t)))) (cbrt (/ (- z t) (cbrt (- a t)))))) (cbrt (/ (- z t) (cbrt (- a t)))))
297.0ms
(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ (- z t) (cbrt (- a t)))) (cbrt (/ (- z t) (cbrt (- a t))))))

simplify2.5s

Counts
267 → 267
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03958482
19898169
233767082
done50006757

prune1.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.3s

Algorithm
intervals
Results
591.0ms8721×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid