Details

Time bar (total: 10.9s)

sample25.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify247.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4899
51209
61459
71579
81689
91729
101789
111809
done1809

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.9b
(/ (* x (- y z)) (- t z))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
28.0ms
(* x (- y z))
44.0ms
(/ (* x (- y z)) (- t z))

series143.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (- y z))
87.0ms
(/ (* x (- y z)) (- t z))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01571123
1398942
21623778
done5001748

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
40.0ms
(/ x (/ (- t z) (- y z)))

series291.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- t z) (- y z))
225.0ms
(/ x (/ (- t z) (- y z)))

simplify1.7s

Counts
204 → 204
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02743524
17433340
238813202
done50013198

prune632.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.1b
(* x (/ (- y z) (- t z)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
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×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
32.0ms
(/ (- y z) (- t z))
62.0ms
(* x (/ (- y z) (- t z)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (- y z) (- t z))
122.0ms
(* x (/ (- y z) (- t z)))

simplify848.0ms

Counts
112 → 112
Iterations

Useful iterations: done (843.0ms)

IterNodesCost
01421355
13811294
215331208
done50001204

prune304.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
2.1b
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×prod-exp
26×add-cbrt-cube
15×cbrt-prod div-exp cbrt-unprod
14×add-sqr-sqrt *-un-lft-identity
9×pow1
8×add-cube-cbrt
7×cbrt-undiv
6×cbrt-div
4×expm1-log1p-u rec-exp 1-exp associate-*r/ log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
5.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
387.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt (- t z))
251.0ms
(cbrt (- t z))
258.0ms
(cbrt (- t z))
223.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01771822
15011672
223451136
done5002938

prune314.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

-5.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch102.0ms

Steps
ItersRangePoint
8
1.232269788206419e-220
7.423988073479588e-216
8.757644994032034e-217
6
-5.5091265644956516e-263
-6.073917811005584e-264
-2.155924047883604e-263

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02037
12537
done2537

end0.0ms

sample1.3s

Algorithm
intervals
Results
448.0ms8751×body80valid