Details

Time bar (total: 4.0s)

sample19.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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: 13.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.6b
(/ (* x (- y z)) (- t z))

rewrite33.0ms

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:
16.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series110.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
68.0ms
(/ (* x (- y z)) (- t z))

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0346543
11624380
25001380

prune145.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.2b
(* x (/ (- y z) (- t z)))

rewrite42.0ms

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))
25.0ms
(* x (/ (- y z) (- t z)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y z) (- t z))
72.0ms
(* x (/ (- y z) (- t z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune228.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite38.0ms

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:
12.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series212.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- t z) (- y z))
157.0ms
(/ x (/ (- t z) (- y z)))

simplify90.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06421801
128871748
250011745

prune438.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- t z))
0.1b
(/ 1 (/ (- y z) (- t z)))
2.3b
(/ x (/ 1 (/ (- y z) (- t z))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
1184×times-frac
794×add-sqr-sqrt *-un-lft-identity
450×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
134×associate-/r*
40×associate-/r/
35×add-exp-log
23×div-inv
22×div-exp
19×add-cbrt-cube
18×flip3-- flip--
11×associate-/l*
10×cbrt-undiv
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 622
Calls
3 calls:
12.0ms
(/ (- y z) (- t z))
15.0ms
(/ 1 (/ (- y z) (- t z)))
32.0ms
(/ x (/ 1 (/ (- y z) (- t z))))

series300.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- y z) (- t z))
144.0ms
(/ 1 (/ (- y z) (- t z)))
109.0ms
(/ x (/ 1 (/ (- y z) (- t z))))

simplify110.0ms

Algorithm
egg-herbie
Counts
631 → 631
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
017387292
150016611

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

10% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch66.0ms

Steps
ItersRangePoint
7
4.937911139442563e-106
2.1292235317523427e-104
1.3465025793223362e-105
8
-9.177267785556468e-222
-3.5342673486870483e-224
-8.051056097815923e-223

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample455.0ms

Algorithm
intervals
Results
235.0ms8716×body80valid