Details

Time bar (total: 15.5s)

sample31.0ms

Algorithm
intervals
Results
15.0ms490×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (46.0ms)

IterNodesCost
01113
12113
25113
314813
433412
558212
671612
781112
8100912
9135712
10136012
done136012

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* z z) t)
3.6b
(* (* y 4.0) (- (* z z) t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×prod-diff
8×add-sqr-sqrt
7×pow1 add-exp-log add-cbrt-cube
6×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u difference-of-squares
1×fma-neg diff-log associate-*l* *-commutative
Counts
2 → 52
Calls
2 calls:
3.0ms
(- (* z z) t)
19.0ms
(* (* y 4.0) (- (* z z) t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- (* z z) t)
70.0ms
(* (* y 4.0) (- (* z z) t))

simplify2.8s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0108760
1289662
21020553
34223544
done5001544

prune133.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (* y 4.0) (- (* z z) t))
5.3b
(cbrt (* (* y 4.0) (- (* z z) t)))
5.3b
(cbrt (* (* y 4.0) (- (* z z) t)))
5.3b
(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt associate-*r/
7×add-cube-cbrt *-un-lft-identity
6×cbrt-div prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative difference-of-squares
Counts
4 → 72
Calls
4 calls:
15.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))

series567.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* y 4.0) (- (* z z) t))
162.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
168.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
164.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))

simplify3.1s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01441279
13681185
211801017
34674990
done5000990

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z z) t)
1.1b
(- (pow z 4) (* t t))
10.2b
(* (* y 4.0) (- (pow z 4) (* t t)))
20.2b
(/ (* (* y 4.0) (- (pow z 4) (* t t))) (+ (* z z) t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
21×prod-diff
19×add-sqr-sqrt
18×add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×unpow-prod-down
9×pow1 distribute-rgt-in distribute-lft-in
8×add-log-exp
7×fma-neg
6×associate-*r* prod-exp cbrt-unprod difference-of-squares sqr-pow
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×cbrt-undiv sub-neg flip3-- times-frac div-exp pow-prod-down associate-/r* flip--
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×+-commutative fma-def frac-2neg diff-log associate-*l* clear-num sum-log *-commutative div-inv associate-/l*
Counts
4 → 117
Calls
4 calls:
3.0ms
(+ (* z z) t)
9.0ms
(- (pow z 4) (* t t))
25.0ms
(* (* y 4.0) (- (pow z 4) (* t t)))
23.0ms
(/ (* (* y 4.0) (- (pow z 4) (* t t))) (+ (* z z) t))

series364.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (* z z) t)
46.0ms
(- (pow z 4) (* t t))
126.0ms
(* (* y 4.0) (- (pow z 4) (* t t)))
170.0ms
(/ (* (* y 4.0) (- (pow z 4) (* t t))) (+ (* z z) t))

simplify1.2s

Counts
129 → 129
Iterations

Useful iterations: 2 (500.0ms)

IterNodesCost
01882146
15531984
225591670
done50001670

prune403.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (/ (fma z z t) (* (- (pow z 4) (* t t)) (* 4.0 y))))
1.1b
(- (pow z 4) (* t t))
10.2b
(* (- (pow z 4) (* t t)) (* 4.0 y))
20.1b
(/ (fma z z t) (* (- (pow z 4) (* t t)) (* 4.0 y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
42×times-frac
33×add-sqr-sqrt
32×add-cbrt-cube
29×add-cube-cbrt *-un-lft-identity
20×div-exp
15×prod-exp
12×associate-*l/
11×associate-/r/
10×pow1 cbrt-undiv associate-/r*
9×cbrt-unprod
8×unpow-prod-down
7×flip3-- fma-neg prod-diff flip--
6×associate-*l* div-inv associate-/l* add-log-exp difference-of-squares
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u sqr-pow
3×pow-prod-down
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-*r* *-commutative inv-pow
Counts
4 → 153
Calls
4 calls:
26.0ms
(/ 1 (/ (fma z z t) (* (- (pow z 4) (* t t)) (* 4.0 y))))
9.0ms
(- (pow z 4) (* t t))
26.0ms
(* (- (pow z 4) (* t t)) (* 4.0 y))
16.0ms
(/ (fma z z t) (* (- (pow z 4) (* t t)) (* 4.0 y)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ 1 (/ (fma z z t) (* (- (pow z 4) (* t t)) (* 4.0 y))))
44.0ms
(- (pow z 4) (* t t))
71.0ms
(* (- (pow z 4) (* t t)) (* 4.0 y))
83.0ms
(/ (fma z z t) (* (- (pow z 4) (* t t)) (* 4.0 y)))

simplify793.0ms

Counts
165 → 165
Iterations

Useful iterations: 2 (275.0ms)

IterNodesCost
02353406
15743151
218902629
done50002629

prune454.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.5b

regimes315.0ms

Accuracy

82.9% (0.5b remaining)

Error of 3.3b against oracle of 2.8b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02036
12536
done2536

end0.0ms

sample859.0ms

Algorithm
intervals
Results
484.0ms15703×body80valid