Details

Time bar (total: 6.4s)

sample25.0ms

Algorithm
intervals
Results
13.0ms281×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.6b
(/ (* x (- y z)) (- t z))

rewrite31.0ms

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:
15.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series109.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
67.0ms
(/ (* x (- y z)) (- t z))

simplify54.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune149.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.4b
(* x (/ (- y z) (- t z)))

rewrite41.0ms

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:
12.0ms
(/ (- y z) (- t z))
24.0ms
(* x (/ (- y z) (- t z)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (- t z))
76.0ms
(* x (/ (- y z) (- t z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0356664
11414623
25001623

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- t z))
0.0b
(- (/ y (- t z)) (/ z (- t z)))
2.4b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite508.0ms

Algorithm
rewrite-expression-head
Rules
1984×*-un-lft-identity
1966×add-sqr-sqrt
1956×times-frac
1323×prod-diff
1162×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
409×distribute-lft-out--
397×difference-of-squares
264×associate-/r/
134×flip3-- flip--
132×div-inv
21×fma-neg
18×associate-*r*
7×add-exp-log add-cbrt-cube
6×distribute-rgt-out--
5×pow1 associate-/r* add-log-exp
4×associate-*r/
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u associate-/l*
2×frac-sub sub-div
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 1457
Calls
3 calls:
5.0ms
(/ y (- t z))
97.0ms
(- (/ y (- t z)) (/ z (- t z)))
231.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ y (- t z))
73.0ms
(- (/ y (- t z)) (/ z (- t z)))
96.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify397.0ms

Algorithm
egg-herbie
Counts
1466 → 1466
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0198947279
1500238328

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- t z))
0.0b
(+ (* x (/ y (- t z))) (* x (- (/ z (- t z)))))
2.0b
(* x (- (/ z (- t z))))
6.2b
(* x (/ y (- t z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
70×*-un-lft-identity
67×associate-*r*
61×times-frac
44×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
8×pow1 associate-/r/
6×associate-*l* add-log-exp
5×associate-/r*
4×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u div-inv
3×prod-exp distribute-rgt-neg-out cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 164
Calls
4 calls:
5.0ms
(/ y (- t z))
6.0ms
(+ (* x (/ y (- t z))) (* x (- (/ z (- t z)))))
35.0ms
(* x (- (/ z (- t z))))
16.0ms
(* x (/ y (- t z)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ y (- t z))
94.0ms
(+ (* x (/ y (- t z))) (* x (- (/ z (- t z)))))
41.0ms
(* x (- (/ z (- t z))))
48.0ms
(* x (/ y (- t z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0562914
12548849
25001846

prune490.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (2.2b remaining)

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

bsearch92.0ms

Steps
ItersRangePoint
5
5.337252661687364e-27
1.1668673414757802e-26
1.038708461950015e-26
10
-4.9965332771406725e-158
-1.2135443541276661e-169
-2.5436316420242378e-164

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03614
14314
24514
34514

end0.0ms

sample688.0ms

Algorithm
intervals
Results
437.0ms8714×body80valid