Details

Time bar (total: 3.6s)

sample52.0ms

Algorithm
intervals
Results
34.0ms280×body80valid

simplify79.0ms

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: 9.9b

localize8.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (* x (- y z)) (- t z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
13.0ms
(/ (* x (- y z)) (- t z))

series72.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (* x (- y z)) (- t z))

simplify95.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0209187
1850160
24095160
35002160

prune106.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.9b
(/ x (/ (- t z) (- y z)))

rewrite41.0ms

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))
18.0ms
(/ x (/ (- t z) (- y z)))

series446.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- t z) (- y z))
395.0ms
(/ x (/ (- t z) (- y z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06421801
128871748
250011745

prune482.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.9b
(* x (/ (- y z) (- t z)))

rewrite44.0ms

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))
27.0ms
(* x (/ (- y z) (- t z)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- t z))
69.0ms
(* x (/ (- y z) (- t z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0356664
11414623
25001623

prune253.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
2.9b
(* x (* (- y z) (/ 1 (- t z))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 125
Calls
3 calls:
5.0ms
(/ 1 (- t z))
23.0ms
(* (- y z) (/ 1 (- t z)))
28.0ms
(* x (* (- y z) (/ 1 (- t z))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- t z))
51.0ms
(* (- y z) (/ 1 (- t z)))
76.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0391700
11784591
25003549

prune261.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

-17.9% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.1b

bsearch88.0ms

Steps
ItersRangePoint
8
9.353908348826673e-278
8.867132914335727e-274
9.022303631545833e-277
8
-4.182708159709269e+60
-9.704786708557082e+56
-9.889676218645528e+56

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02413
12413

end0.0ms

sample820.0ms

Algorithm
intervals
Results
586.0ms8744×body80valid