Details

Time bar (total: 10.6s)

sample26.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
44089
515199
done50019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
98.0ms
(* x (+ (- y z) 1.0))
49.0ms
(/ (* x (+ (- y z) 1.0)) z)

series145.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (+ (- y z) 1.0))
83.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.0s

Counts
57 → 57
Iterations

Useful iterations: done (1.0s)

IterNodesCost
098645
1280625
21311539
done5001531

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
37.0ms
(/ z (+ (- y z) 1.0))
75.0ms
(/ x (/ z (+ (- y z) 1.0)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ z (+ (- y z) 1.0))
66.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02042436
15282285
225542180
done50002177

prune490.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
112.0ms
(/ (+ (- y z) 1.0) z)
140.0ms
(* x (/ (+ (- y z) 1.0) z))

series96.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (+ (- y z) 1.0) z)
57.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify955.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
01111039
1292999
21307903
done5000903

prune190.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
7.9b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
522×*-un-lft-identity
292×add-sqr-sqrt add-cube-cbrt
92×distribute-lft-out
46×distribute-lft-out--
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 376
Calls
2 calls:
56.0ms
(/ 1 (+ (- y z) 1.0))
57.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (+ (- y z) 1.0))
56.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify960.0ms

Counts
382 → 382
Iterations

Useful iterations: done (940.0ms)

IterNodesCost
04929045
115927663
done50006872

prune733.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.5b

bsearch119.0ms

Steps
ItersRangePoint
7
1.6072365754313596e-29
3.192278572102886e-28
2.6146347937634723e-28
9
-911936.9907706906
-0.001112742289078708
-198391.30145553235

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample1.5s

Algorithm
intervals
Results
634.0ms10043×body80valid