Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.2b
(/ x (* (- y z) (- t z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
16.0ms
(/ x (* (- y z) (- t z)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
125.0ms
(/ x (* (- y z) (- t z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0384705
11834535
25002528

prune198.0ms

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
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- t z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
11.0ms
(/ x (- y z))
29.0ms
(/ (/ x (- y z)) (- t z))

series151.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (- y z))
121.0ms
(/ (/ x (- y z)) (- t z))

simplify65.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06441751
123221707
250011707

prune440.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
1.6b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
12.0ms
(/ 1 (- t z))
11.0ms
(/ x (- y z))
56.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (- t z))
27.0ms
(/ x (- y z))
118.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0537934
12214819
25001777

prune329.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (/ 1 (- t z)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
81×add-exp-log
44×prod-exp
33×add-cbrt-cube
22×add-sqr-sqrt *-un-lft-identity cbrt-unprod
21×associate-*r*
18×div-exp
16×add-cube-cbrt
15×times-frac
13×pow1
9×cbrt-undiv cbrt-prod
6×pow-prod-down
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ distribute-lft-out-- difference-of-squares
2×associate-/r/
1×frac-times flip3-- associate-*l* associate-*l/ un-div-inv *-commutative flip-- div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
121.0ms
(* (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (/ 1 (- t z)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
196.0ms
(cbrt x)
183.0ms
(cbrt x)
139.0ms
(* (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (/ 1 (- t z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05031022
12715711
25001582

prune258.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (2.0b 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
084

end0.0ms

sample483.0ms

Algorithm
intervals
Results
198.0ms8453×body80valid