Details

Time bar (total: 5.9s)

sample18.0ms

Algorithm
intervals
Results
6.0ms279×body80valid

simplify66.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) (- t z))

rewrite53.0ms

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:
21.0ms
(* x (- y z))
29.0ms
(/ (* x (- y z)) (- t z))

series96.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (- y z))
63.0ms
(/ (* x (- y z)) (- t z))

simplify52.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune142.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.9b
(* x (/ (- y z) (- t z)))

rewrite70.0ms

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:
22.0ms
(/ (- y z) (- t z))
43.0ms
(* x (/ (- y z) (- t z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- y z) (- t z))
64.0ms
(* x (/ (- y z) (- t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0356664
11414623
25001623

prune233.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y (- t z)) (/ z (- t z)))
0.0b
(/ y (- t z))
1.9b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite573.0ms

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:
100.0ms
(- (/ y (- t z)) (/ z (- t z)))
10.0ms
(/ y (- t z))
298.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (/ y (- t z)) (/ z (- t z)))
28.0ms
(/ y (- t z))
80.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify382.0ms

Algorithm
egg-herbie
Counts
1466 → 1466
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0198947279
1500238328

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
22.0ms
(/ (- t z) (- y z))
26.0ms
(/ x (/ (- t z) (- y z)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- t z) (- y z))
143.0ms
(/ x (/ (- t z) (- y z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06421801
128871748
250011745

prune464.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

sample494.0ms

Algorithm
intervals
Results
206.0ms8727×body80valid